Exact solutions of nonlinear time fractional partial differential equations by sub-equation method

Bekir A., Aksoy E., ÇEVİKEL A. C.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.38, no.13, pp.2779-2784, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 13
  • Publication Date: 2015
  • Doi Number: 10.1002/mma.3260
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2779-2784
  • Keywords: exact solutions, fractional complex transform, sub-equation method, time fractional differential equations, subclass34A08, 35R11, 83C15
  • Yıldız Technical University Affiliated: Yes

Abstract

In this article, the sub-equation method is presented for finding the exact solutions of a nonlinear fractional partial differential equations. For this, the fractional complex transformation method has been used to convert fractional-order partial differential equation to ordinary differential equation. The fractional derivatives are described in Jumarie's the modified Riemann-Liouville sense. We apply to this method for the nonlinear time fractional differential equations. With the aid of symbolic computation, a variety of exact solutions for them are obtained. Copyright (c) 2014 John Wiley & Sons, Ltd.