Keyword Index

A

  • Accelerator parameter Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Adaptive mesh refinement An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Adaptive Monte Carlo algorithm A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Advection-diffusion problems Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Almost Ricci solitons Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [Volume 12, Issue 4, 2024, Pages 710-718]
  • Almost sure exponential stability Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks [Volume 12, Issue 1, 2024, Pages 136-148]
  • American option price An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Ananthaswamy-Sivasankari method (ASM) A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Arzel\`a-Ascoli's theorem Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]

B

  • Basic reproduction number Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • Basic reproduction number Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives [Volume 12, Issue 2, 2024, Pages 236-265]
  • Basin of attraction Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Bernstein polynomials A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Bernstein technique Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Biorthogonal system Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • BKE Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Black-Scholes equation Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Black-Scholes inequality An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Black Scholes model A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Boundary value problem Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem [Volume 12, Issue 4, 2024, Pages 741-748]
  • Boundary value problem The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Boussinesq Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Boussinesq equation Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • B-splines A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • Burgers’ Equation Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme [Volume 12, Issue 3, 2024, Pages 425-437]

C

  • Caputo and Riemann–Liouville fractional derivative An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Caputo fractional derivative Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Caputo fractional derivative Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Caputo-Prabhakar fractional derivative A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Carbon dioxide The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Central finite method A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Chebyshev pseudo-spectral method A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Chebyshev wavelets An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Coefficient inverse problem Inverse coefficient problem in hyperbolic partial differential equations: An analytical and computational exploration [Volume 12, Issue 2, 2024, Pages 304-313]
  • Collocation method Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Collocation method The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Collocation method A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • Colored noise Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Conformable derivative An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Conformable fractional Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Conformable fractional derivative Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations [Volume 12, Issue 2, 2024, Pages 413-424]
  • Continuous A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Continuous and discrete time optimization A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Contraction theory Synchronization a chaotic system with Quadratic terms using the contraction Method [Volume 12, Issue 2, 2024, Pages 361-373]
  • Convolutional neural network Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • Correction idea An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Coupled fractional differential systems Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Covid-19 Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • COVID-19 mathematical model A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]

D

  • Darcy’s model A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Difference equations The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Differential-difference equations The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Differential equations The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Direct method An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Discrete points A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Distributed order A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Double Laplace transform New generalized special functions with two generalized M-series at their kernels and solution of fractional PDEs via double Laplace transform [Volume 12, Issue 1, 2024, Pages 31-43]
  • Duffing equations A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]

E

  • Efficiency of vaccines Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • EF IMEX peer methods Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Eigenvalue problem Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Embedding capacity Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • Equilibrium point Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • Equilibrium solution Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Error analysis Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Error bounds An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • European option pricing Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Evolution equations Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Exact solutions The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method [Volume 12, Issue 1, 2024, Pages 44-55]
  • Exact solutions Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations [Volume 12, Issue 2, 2024, Pages 413-424]
  • Explicit methods Higher-order multi-step Runge-Kutta-Nystr"om methods with frequency-dependent coefficients for second-order initial value problem $u^{prime prime}=f(x,u,u^{prime})$ [Volume 12, Issue 4, 2024, Pages 808-826]
  • Exponential B-spline collocation An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]

F

  • Finite difference discretization Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Finite differences Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Finite elements method An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Flatlet oblique multiwavelets Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Fractal Differential Equations A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Fractional Chebyshev differential equation Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]
  • Fractional derivative On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation [Volume 12, Issue 3, 2024, Pages 511-522]
  • Fractional Duffing differential equations A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Fractional integration On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation [Volume 12, Issue 3, 2024, Pages 511-522]
  • Fractional kinetic equation Generalization of Katugampola fractional kinetic equation involving incomplete H-function [Volume 12, Issue 4, 2024, Pages 842-856]
  • Fractional linear multi-step methods On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation [Volume 12, Issue 3, 2024, Pages 511-522]
  • Fractional operational matrix A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Fractional sub-diffusion equation An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Fractional Volterra integro-differential equations Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Fuzzy ABC fractional differential equations Application of fuzzy ABC fractional differential equations in infectious diseases [Volume 12, Issue 1, 2024, Pages 1-15]
  • Fuzzy Atangana-Baleanu-Caputo(ABC) fractional derivative Application of fuzzy ABC fractional differential equations in infectious diseases [Volume 12, Issue 1, 2024, Pages 1-15]
  • Fuzzy Fractional differential equations An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy Sumudu Iterative transform method An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy Sumudu Transform An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy Telegraph equations An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]

G

  • Gauss hypergeometric function New generalized special functions with two generalized M-series at their kernels and solution of fractional PDEs via double Laplace transform [Volume 12, Issue 1, 2024, Pages 31-43]
  • Generalized Equal Width equation A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • Generalized fractional derivative Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition [Volume 12, Issue 1, 2024, Pages 89-99]
  • Generalized seventh-order Korteweg-de Vries equation Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • Gradient almost Ricci solitons Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [Volume 12, Issue 4, 2024, Pages 710-718]
  • Gradient estimates Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [Volume 12, Issue 4, 2024, Pages 710-718]

H

  • Hadamard fractional derivative Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem [Volume 12, Issue 4, 2024, Pages 741-748]
  • Hadamard fractional derivative, Boundary value problem Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems [Volume 12, Issue 4, 2024, Pages 791-807]
  • Harnack inequalities Quality theorems on the solutions of quasilinear second-order parabolic equations with discontinuous coefficients [Volume 12, Issue 4, 2024, Pages 703-709]
  • Hilfer fractional derivatives Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • HIV fuzzy mathematical model Application of fuzzy ABC fractional differential equations in infectious diseases [Volume 12, Issue 1, 2024, Pages 1-15]
  • Hopfield neural networks Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks [Volume 12, Issue 1, 2024, Pages 136-148]
  • Hybrid functions An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Hyperbolic partial differential equation Inverse coefficient problem in hyperbolic partial differential equations: An analytical and computational exploration [Volume 12, Issue 2, 2024, Pages 304-313]

I

  • Incomplete gamma function Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • Incomplete H-functions Generalization of Katugampola fractional kinetic equation involving incomplete H-function [Volume 12, Issue 4, 2024, Pages 842-856]
  • Incomplete $I$-functions Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • Insulated tip A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Integral Boundary Condition Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem [Volume 12, Issue 4, 2024, Pages 741-748]
  • Integral boundary conditions A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Integro-differential equation Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Integro–partial differential equations Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Interface Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Interpolating wavelets An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Invariance equation Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Invariant manifolds Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Invariant solutions Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Inverse of Complex SEE transform The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Inverse problem Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Inverse problem Direct and inverse problems of ROD equation using finite element method and a correction technique [Volume 12, Issue 4, 2024, Pages 651-668]
  • Iterative methods A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Ito formula Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Ivancevic option pricing model Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]

J

  • Jacobian Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]

K

  • Keller-Box scheme Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme [Volume 12, Issue 3, 2024, Pages 425-437]
  • Kernel-Based Method Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Kernel, Fixed-point theorems, Positive solution Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems [Volume 12, Issue 4, 2024, Pages 791-807]
  • Kudryashov Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]

L

  • Lie infinitesimals Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Lie symmetry analysis Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Lie symmetry analysis Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Lie-Trotter splitting A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • LKF Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Longitudinal fin A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]

M

  • Magneto hydrodynamics (MHD) A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Mellin-Barnes type contour Generalization of Katugampola fractional kinetic equation involving incomplete H-function [Volume 12, Issue 4, 2024, Pages 842-856]
  • Mellin-Barnes type contour integral Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • M-fractional derivative Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]
  • Modified Adomian decomposition method Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method [Volume 12, Issue 1, 2024, Pages 189-195]
  • Modified simple equation method (MSEM) Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations [Volume 12, Issue 2, 2024, Pages 413-424]
  • Moving boundary On a moving boundary problem associated with a mathematical model of breast cancer [Volume 12, Issue 1, 2024, Pages 56-66]
  • Multi-step Runge-Kutta-Nystr\"om methods Higher-order multi-step Runge-Kutta-Nystr"om methods with frequency-dependent coefficients for second-order initial value problem $u^{prime prime}=f(x,u,u^{prime})$ [Volume 12, Issue 4, 2024, Pages 808-826]

N

  • Nodal Points Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Nonlinear boundary conditions Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Nonlinear equations Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Nonlinear evolution equation Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • Nonlinear programming A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Nonlocal Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Nonlocal boundary condition Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme [Volume 12, Issue 3, 2024, Pages 425-437]
  • Nonlocal conditions Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Numerical algorithms A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Numerical method A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Numerical simulation Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • Numerical solution Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]

O

  • Obstacle problem An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Operational matrix Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Operational vectors An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Optimal convergence Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Optimal Lie system Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Option pricing A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Orthogonal polynomials Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]

P

  • Parabolic equations Quality theorems on the solutions of quasilinear second-order parabolic equations with discontinuous coefficients [Volume 12, Issue 4, 2024, Pages 703-709]
  • Parabolic variational inequality An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Parameterization method Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Phenyl glycidyl ether The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Piecewise continuous kernel Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method [Volume 12, Issue 1, 2024, Pages 189-195]
  • Prediction error expansion Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]

Q

  • Quasi-hat function A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]

R

  • Random variable Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Reproducing kernel method A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Reproduction number A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Reversible data hiding Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • Riccati Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Riccati equation An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Riemann-Liouville and Caputo derivatives Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]
  • Riemann-Liouville-Caputo fractional derivative Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems [Volume 12, Issue 2, 2024, Pages 338-349]
  • Rod equation Direct and inverse problems of ROD equation using finite element method and a correction technique [Volume 12, Issue 4, 2024, Pages 651-668]
  • Rumor spread Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives [Volume 12, Issue 2, 2024, Pages 236-265]
  • Runge Kutta of fifth order method A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]

S

  • Schauder fixed point theorem Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition [Volume 12, Issue 1, 2024, Pages 89-99]
  • SDDEs Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Second order Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • SEIR model Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • Semi-smooth Newton method An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Sensitivity analysis Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives [Volume 12, Issue 2, 2024, Pages 236-265]
  • Sensitivity analysis A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Shooting method Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems [Volume 12, Issue 2, 2024, Pages 338-349]
  • Sinc functions The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Stability Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Stability analysis An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Stability estimate Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems [Volume 12, Issue 2, 2024, Pages 338-349]
  • Stochastic delay differential equations Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks [Volume 12, Issue 1, 2024, Pages 136-148]
  • Stochastic differential equation Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Stochastic nonlinear systems Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays [Volume 12, Issue 2, 2024, Pages 196-206]
  • Stochastic stability Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • Strongly nonlinear A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Sturm-Liouville Direct and inverse problems of ROD equation using finite element method and a correction technique [Volume 12, Issue 4, 2024, Pages 651-668]
  • Sturm-Liouville problem An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]

T

  • Taylor series A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • The Complex SEE transform The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • The extended modified auxiliary equation mapping method Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]
  • The generalized exponential rational function method Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]
  • The modified simplest equation method The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method [Volume 12, Issue 1, 2024, Pages 44-55]
  • Time–fractional Black–Scholes equation Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Time fractional derivative An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Time scale calculus Some delta q−fractional linear dynamic equations and a generalized delta q−Mittag-Leffler function [Volume 12, Issue 3, 2024, Pages 502-510]
  • Time-varying delays Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays [Volume 12, Issue 2, 2024, Pages 196-206]
  • Trapezoid A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Trapezoidal Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Traveling wave solution Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • Troesch’s problem A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Truncated M-fractional derivative The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method [Volume 12, Issue 1, 2024, Pages 44-55]
  • Two link robot Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]

U

  • Ulam-Hyers stability Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]

V

  • Velocity kinematics Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Volterra integral equation Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method [Volume 12, Issue 1, 2024, Pages 189-195]
  • Volterra integral equation Wong-Zakai approximation of stochastic Volterra integral equations [Volume 12, Issue 3, 2024, Pages 484-501]
  • Von-Neumann stability A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]

W

  • White noise Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • White noise Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • With-memory method Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Wong-Zakai approximation Wong-Zakai approximation of stochastic Volterra integral equations [Volume 12, Issue 3, 2024, Pages 484-501]