IJPAM: Volume 92, No. 2 (2014)

FORMULATION AND SOLUTION OF TIME-FRACTIONAL
DEGASPERIS-PROCESI EQUATION VIA
VARIATIONAL METHODS

Youwei Zhang
Department of Mathematics
Hexi University
Gansu 734000, P.R. CHINA


Abstract. This paper presents the formulation of the time-fractional Degasperis-Procesi equation using the Euler-Lagrange variational technique in the Riemann-Liouville derivatives sense and derives an approximate solitary wave solution. Our results witness that He's variational iteration method was very efficient and powerful technique in finding the solutions of the proposed equations.

Received: December 21, 2013

AMS Subject Classification: 35R11, 35G20

Key Words and Phrases: Riemann-Liouville fractional differential operator, Euler-Lagrange equation, Riesz fractional derivative, fractional Degasperis-Procesi equation, He's variational iteration method, solitary wave

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DOI: 10.12732/ijpam.v92i2.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 2
Pages: 207 - 224

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).