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Research Papers

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

[+] Author and Article Information
H. Jafari

Department of Mathematics,
University of Mazandaran,
P.O.Box 416,
Pasdaran Street,
Babolsar 47416-95447, Iran
e-mail: jafari@umz.ac.ir

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

D. Baleanu

Faculty of Engineering Department of
Chemical and Materials Engineering,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia
Department of Mathematics
and Computer Sciences,
Cankaya University,
Ankara 06530, Turkey
Institute of Space Sciences,
Magurele-Bucharest 077125, Romania
e-mail: dumitru@cankaya.edu.tr

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 18, 2013; final manuscript received August 29, 2013; published online February 12, 2014. Assoc. Editor: J. A. Tenreiro Machado.

J. Comput. Nonlinear Dynam 9(2), 021019 (Feb 12, 2014) (4 pages) Paper No: CND-13-1010; doi: 10.1115/1.4025770 History: Received January 18, 2013; Revised August 29, 2013

## 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.

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