The fractional analysis of fusion and fission process in plasma physics
The space-time fractional non-linear Phi-4 equation is a significant equation to describes the
fission and fusion process that ensued in chemical kinematics, solid-state physics …
fission and fusion process that ensued in chemical kinematics, solid-state physics …
A novel technique for fractional Bagley–Torvik equation
In this research, numerical solution of boundary value problem of fractional Bagley–Torvik
equation is given in the reproducing kernel space. The central point of this approach is to set …
equation is given in the reproducing kernel space. The central point of this approach is to set …
[HTML][HTML] Alternative variational iteration method for solving the time-fractional Fornberg–Whitham equation
In this study, we apply an alternative variational iteration method to solve the time-fractional
Fornberg–Whitham equation. A comparison between the results obtained using the …
Fornberg–Whitham equation. A comparison between the results obtained using the …
Improved and more feasible numerical methods for Riesz space fractional partial differential equations
In this article, the numerical solutions of fractional order partial differential equations with
Riesz space fractional derivatives, on a finite domain, have been considered. Two kinds of …
Riesz space fractional derivatives, on a finite domain, have been considered. Two kinds of …
[HTML][HTML] New numerical methods for the Riesz space fractional partial differential equations
H Ding, Y Zhang - Computers & Mathematics with Applications, 2012 - Elsevier
In this paper, we consider the numerical solution of the Riesz space fractional diffusion
equation and advection–dispersion equation. First, a system of ordinary differential …
equation and advection–dispersion equation. First, a system of ordinary differential …
An operational matrix method for nonlinear variable-order time fractional reaction–diffusion equation involving Mittag-Leffler kernel
MH Heydari, A Atangana, Z Avazzadeh… - The European Physical …, 2020 - Springer
This paper is concerned with an operational matrix (OM) scheme based on the shifted
Chebyshev cardinal functions (SCCFs) of the second kind for numerical solution of the …
Chebyshev cardinal functions (SCCFs) of the second kind for numerical solution of the …
Double integral-balance method to the fractional subdiffusion equation: approximate solutions, optimization problems to be resolved and numerical simulations
J Hristov - Journal of Vibration and Control, 2017 - journals.sagepub.com
An approximate integral-balance solution of the fractional subdiffusion equation by a double-
integration technique has been conceived. The time-fractional linear subdiffusion equation …
integration technique has been conceived. The time-fractional linear subdiffusion equation …
[HTML][HTML] Search for adequate closed form wave solutions to space–time fractional nonlinear equations
The nonlinear space–time fractional Phi-4 equation and density dependent fractional
reaction–diffusion equation (FRDE) are important models to interpret the fusion and fission …
reaction–diffusion equation (FRDE) are important models to interpret the fusion and fission …
[HTML][HTML] A reliable numerical method for solving fractional reaction-diffusion equations
The present work aims to solve the fractional reaction–diffusion equation (RDE) using an
effective and powerful hybrid analytical scheme, namely q-HASTM. The suggested …
effective and powerful hybrid analytical scheme, namely q-HASTM. The suggested …
Approximate analytical solution of coupled fractional order reaction-advection-diffusion equations
In the present article, an effective Laguerre collocation method is used to obtain the
approximate solution of a system of coupled fractional order non-linear reaction-advection …
approximate solution of a system of coupled fractional order non-linear reaction-advection …