Exact solutions to the time-fractional differential equations via local fractional derivatives
WAVES IN RANDOM AND COMPLEX MEDIA, vol.28, no.1, pp.139-149, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 28 Issue: 1
- Publication Date: 2018
- Doi Number: 10.1080/17455030.2017.1332442
- Journal Name: WAVES IN RANDOM AND COMPLEX MEDIA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.139-149
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
This article utilizes the local fractional derivative and the exp-function method to construct the exact solutions of nonlinear time-fractional differential equations (FDEs). For illustrating the validity of the method, it is applied to the time-fractional Camassa-Holm equation and the time-fractional-generalized fifth-order KdV equation. Moreover, the exact solutions are obtained for the equations which are formed by different parameter values related to the time-fractional-generalized fifth-order KdV equation. This method is an reliable and efficient mathematical tool for solving FDEs and it can be applied to other non-linear FDEs.