[HTML][HTML] Stable numerical results to a class of time-space fractional partial differential equations via spectral method
In this paper, we are concerned with finding numerical solutions to the class of time–space
fractional partial differential equations: D tpu (t, x)+ κ D xpu (t, x)+ τ u (t, x)= g (t, x), 1< p< 2,(t …
fractional partial differential equations: D tpu (t, x)+ κ D xpu (t, x)+ τ u (t, x)= g (t, x), 1< p< 2,(t …
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
The cable equation plays a central role in many areas of electrophysiology and in modeling
neuronal dynamics. This paper reports an accurate spectral collocation method for solving …
neuronal dynamics. This paper reports an accurate spectral collocation method for solving …
Approximation methods for solving fractional equations
SS Zeid - Chaos, Solitons & Fractals, 2019 - Elsevier
In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …
fractional equations, which are divided into the fractional differential equations (FDEs), time …
Inherent irreversibility in unsteady magnetohydrodynamic nanofluid flow past a slippery permeable vertical plate with fractional-order derivative
This study focuses on fractional-order derivatives for the unsteady flow of
magnetohydrodynamic (MHD) methanol-iron oxide (CH3OH-Fe3O4) nanofluid over a …
magnetohydrodynamic (MHD) methanol-iron oxide (CH3OH-Fe3O4) nanofluid over a …
Analytical solutions of fractional order diffusion equations by natural transform method
In this article, we develop an analytical method for solving fractional order partial differential
equations. Our method is the generalizations of homotopy perturbations Laplace transform …
equations. Our method is the generalizations of homotopy perturbations Laplace transform …
[HTML][HTML] Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
In this paper, a numerical method is proposed to solve a class of nonlinear variable order
fractional differential equations (FDEs). The idea is to use Legendre wavelets functions and …
fractional differential equations (FDEs). The idea is to use Legendre wavelets functions and …
[PDF][PDF] A new technology for solving diffusion and heat equations
XJ Yang, F Gao - Thermal Science, 2017 - doiserbia.nb.rs
In this paper, a new technology combing the variational iterative method and an integral
transform similar to Sumudu transform is proposed for the first time for solutions of diffusion …
transform similar to Sumudu transform is proposed for the first time for solutions of diffusion …
Applications of fractional calculus to thermodynamics analysis of hydromagnetic convection in a channel
The present analysis signifies the impacts of fraction calculus on the MHD analysis of an
incompressible fluid flow with entropy generation, viscous dissipation, and joule heating …
incompressible fluid flow with entropy generation, viscous dissipation, and joule heating …
Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients
H Singh, HM Srivastava - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
This paper presents a computational method for the approximate solution of arbitrary-order
non-linear fractional Riccati differential equations with variable coefficients. Proposed …
non-linear fractional Riccati differential equations with variable coefficients. Proposed …
An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment
This paper proposes an optimization method for solving a general form of nonlinear
fractional optimal control problems (NFOCP) governed by nonlinear fractional dynamical …
fractional optimal control problems (NFOCP) governed by nonlinear fractional dynamical …