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
-
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]
-
Flatlet oblique multiwavelets
Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
-
Fractional Chebyshev differential equation
Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval [Volume 12, Issue 2, 2024, Pages 226-235]
-
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 operational matrix
A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
-
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]
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]
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