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Research Article Open access CC BY 3.0

Analytical Solutions to the Fractional Fisher Equation by Applying the Fractional Sub-equation Method

H. Yépez-Martínez, J. M. Reyes, I. O. Sosa

Journal of Advances in Mathematics and Computer Science · pp. 1551–1566 · Published 29 Mar 2014

10.9734/BJMCS/2014/9248

Abstract

The fractional sub-equation method is proposed to construct analytical solutions of nonlinear fractional partial differential equations (FPDEs), involving Jumarie’s modified Riemann-Liouville derivative. The fractional sub-equation method is applied to the fractional Fisher equation. The analytical solutions show that the fractional sub-equation method is very effective for the analytical solutions of the Fisher equation. The fractional sub-equation method introduces a promising tool for solving many fractional partial differential equations.

Fractional sub-equation method analytical solutions fractional fisher equation

Cited by 5

A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions

Xiao-Gang Zhu, Yu-Feng Nie, Jungang Wang · International Journal of Computational Mathematics · 2017

Analytical solutions for the fractional Fisher's equation

H. Kheiri, A. Mojaver, Samaneh Shahi · 2015

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