An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media

P Pandey, S Kumar, JF Gómez-Aguilar… - Chinese Journal of …, 2020 - Elsevier
In this paper, we obtained the approximate numerical solution of space-time fractional-order
reaction-diffusion equation using an efficient technique homotopy perturbation technique …

Numerical solution of the time fractional reaction-advection-diffusion equation in porous media

P Pandey, S Kumar, JF Gómez-Aguilar - Journal of Applied and …, 2022 - jacm.scu.ac.ir
In this work, we obtained the numerical solution for the system of nonlinear time-fractional
order advection-reaction-diffusion equation using the homotopy perturbation method using …

[PDF][PDF] Homotopy perturbation Shehu transform method for solving fractional models arising in applied sciences

S Maitama, W Zhao - Journal of Applied Mathematics and …, 2021 - bibliotekanauki.pl
Using the recently proposed homotopy perturbation Shehu transform method (HPSTM), we
successfully construct reliable solutions of some important fractional models arising in …

[HTML][HTML] A fractional model of the diffusion equation and its analytical solution using Laplace transform

S Kumar, A Yildirim, Y Khan, L Wei - Scientia Iranica, 2012 - Elsevier
In this study, the homotopy perturbation transform method (HPTM) is performed to give
analytical solutions of the time fractional diffusion equation. The HPTM is a combined form of …

A new fractional analytical approach for treatment of system of physical models by using Laplace Transform

S Kumar - Scientia Iranica, 2014 - scientiairanica.sharif.edu
In this study, the homotopy perturbation transform method (HPTM) is performed to give
approximate and analytical solutions of the first order linear and nonlinear system of time …

Solving fractional diffusion and wave equations by modified homotopy perturbation method

H Jafari, S Momani - Physics Letters A, 2007 - Elsevier
This Letter applies the modified He's homotopy perturbation method (HPM) suggested by
Momani and Odibat to obtaining solutions of linear and nonlinear fractional diffusion and …

Analytical solution of linear and non-linear space-time fractional reaction-diffusion equations

A Yildirim, SA Sezer - International Journal of Chemical Reactor …, 2010 - degruyter.com
In this study, we present the homotopy perturbation method (HPM) for finding the analytical
solution of linear and non-linear space-time fractional reaction-diffusion equations …

[HTML][HTML] Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

N Sene, AN Fall - Fractal and Fractional, 2019 - mdpi.com
In this paper, the approximate solutions of the fractional diffusion equations described by the
fractional derivative operator were investigated. The homotopy perturbation Laplace …

[PDF][PDF] On approximate solutions for the time-fractional reaction-diffusion equation of Fisher type

NA Khan, M Ayaz, L Jin, A Yildirim - Int. J. Phys. Sci, 2011 - academicjournals.org
In this paper, the homotopy perturbation method (HPM) is employed to obtain approximate
analytical solutions of the time-fractional reaction-diffusion equation of the Fisher type. The …

Analysis and fractal dynamics of local fractional partial differential equations occurring in physical sciences

VP Dubey, J Singh, AM Alshehri… - Journal of …, 2023 - asmedigitalcollection.asme.org
In this paper, we implement the local fractional natural homotopy perturbation method
(LFNHPM) to solve certain local fractional partial differential equations (LFPDEs) with fractal …