Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations-Reference-Cited by-同舟云学术

Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations

Published:2014-02-12 Issue:2 Volume:9 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Jafari H.¹,Tajadodi H.¹,Baleanu D.²³⁴

Affiliation:

1. Department of Mathematics, University of Mazandaran, P.O.Box 416, Pasdaran Street, Babolsar 47416-95447, Iran e-mail:

2. Faculty of Engineering Department of Chemical and Materials Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

3. Department of Mathematics and Computer Sciences, Cankaya University, Ankara 06530, Turkey

4. Institute of Space Sciences, Magurele-Bucharest 077125, Romania e-mail:

Abstract

The fractional Fan subequation method of the fractional Riccati equation is applied to construct the exact solutions of some nonlinear fractional evolution equations. In this paper, a powerful algorithm is developed for the exact solutions of the modified equal width equation, the Fisher equation, the nonlinear Telegraph equation, and the Cahn–Allen equation of fractional order. Fractional derivatives are described in the sense of the modified Riemann–Liouville derivative. Some relevant examples are investigated.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4025770/6104798/cnd_009_02_021019.pdf

Reference22 articles.

1. Homotopy Perturbation Pade Technique for Solving Fractional Riccati Differential Equations;Int. J. Nonlinear Sci. Numer. Simul.,2010

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