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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University of Maragheh
2015-06-01
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Series: | Sahand Communications in Mathematical Analysis |
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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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institution | Directory Open Access Journal |
issn | 2322-5807 2423-3900 |
language | English |
last_indexed | 2024-12-12T08:32:23Z |
publishDate | 2015-06-01 |
publisher | University of Maragheh |
record_format | Article |
series | Sahand Communications in Mathematical Analysis |
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 |
work_keys_str_mv | AT hkheiri analyticalsolutionsforthefractionalfishersequation AT amojaver analyticalsolutionsforthefractionalfishersequation AT sshahi analyticalsolutionsforthefractionalfishersequation |