Analytical solutions for the fractional Fisher's equation

In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables  method to solve...

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Main Authors: H. Kheiri, A. Mojaver, S. Shahi
Format: Article
Language:English
Published: University of Maragheh 2015-06-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/pdf_11562_5eaf48316c9984fbcf48d22c32127de1.html
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author H. Kheiri
A. Mojaver
S. Shahi
author_facet H. Kheiri
A. Mojaver
S. Shahi
author_sort H. Kheiri
collection DOAJ
description In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables  method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.
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spelling doaj.art-655b1c2ad4b443baba5f4524342106272022-12-22T00:31:03ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002015-06-0121274911562Analytical solutions for the fractional Fisher's equationH. Kheiri0A. Mojaver1S. Shahi2Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables  method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.http://scma.maragheh.ac.ir/pdf_11562_5eaf48316c9984fbcf48d22c32127de1.htmlFractional Fisher's equationMittag-LefferMethod of separating variables
spellingShingle H. Kheiri
A. Mojaver
S. Shahi
Analytical solutions for the fractional Fisher's equation
Sahand Communications in Mathematical Analysis
Fractional Fisher's equation
Mittag-Leffer
Method of separating variables
title Analytical solutions for the fractional Fisher's equation
title_full Analytical solutions for the fractional Fisher's equation
title_fullStr Analytical solutions for the fractional Fisher's equation
title_full_unstemmed Analytical solutions for the fractional Fisher's equation
title_short Analytical solutions for the fractional Fisher's equation
title_sort analytical solutions for the fractional fisher s equation
topic Fractional Fisher's equation
Mittag-Leffer
Method of separating variables
url http://scma.maragheh.ac.ir/pdf_11562_5eaf48316c9984fbcf48d22c32127de1.html
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AT amojaver analyticalsolutionsforthefractionalfishersequation
AT sshahi analyticalsolutionsforthefractionalfishersequation