Keyword Index

A

  • Adaptive mesh refinement An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Advection-diffusion problems Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • 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]

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]
  • 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]
  • Biorthogonal system Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • 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]
  • Boussinesq equation Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]

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]
  • 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]
  • Colored noise Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • 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]
  • Contraction theory Synchronization a chaotic system with Quadratic terms using the contraction Method [Volume 12, Issue 2, 2024, Pages 361-373]
  • 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]

D

  • 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]
  • 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

  • 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]
  • 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]
  • European option pricing Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • 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]

F

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 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]

H

  • 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 $I$-functions Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • 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–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]
  • 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

  • Kernel-Based Method Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]

L

  • Lie symmetry analysis Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • LKF Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]

M

  • 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]

N

  • Nonlinear evolution equation Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • 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]

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]
  • Orthogonal polynomials Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]

P

  • 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]
  • 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]

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]
  • 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]
  • 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]

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]
  • 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]
  • Stability Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • 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]

T

  • 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-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]
  • 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]
  • 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]

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]