The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations

Bekir A., Guner O., ÜNSAL Ö.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, vol.10, no.2, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1115/1.4028065
  • Journal Name: JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: exact solutions, first integral method, fractional complex transform, time fmKdV equation, space-time fmBBM equation, HOMOTOPY ANALYSIS METHOD, DE-VRIES EQUATION, 1ST-INTEGRAL METHOD, TRANSFORM METHOD, ORDER
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this paper, we establish exact solutions for some nonlinear fractional differential equations (FDEs). The first integral method with help of the fractional complex transform (FCT) is used to obtain exact solutions for the time fractional modified Korteweg-de Vries (fmKdV) equation and the space-time fractional modified Benjamin-Bona-Mahony (fmBBM) equation. This method is efficient and powerful in solving kind of other nonlinear FDEs.