A novel analytical method for time-fractional differential equations
OPTIK, vol.127, no.20, pp.8209-8214, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 127 Issue: 20
- Publication Date: 2016
- Doi Number: 10.1016/j.ijleo.2016.05.152
- Journal Name: OPTIK
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.8209-8214
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
In this paper, we have proposed a exp(-Phi(xi) method to establish hyperbolic, trigonometric and rational function solutions for fractional differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the validity of this method, we solve the time-fractional Sharma-Tasso-Olver and (3 + 1)-dimensional time fractional Korteweg-deVries-Zakharov-Kuznetsov (KdV-ZK) equations. This type of method will be newly submitted to literature to construct exact solutions of nonlinear fractional differential equations (NFDEs). (C) 2016 Elsevier GmbH. All rights reserved.