Eur. Phys. J. Plus (2015) 130: 146
https://doi.org/10.1140/epjp/i2015-15146-9

Regular Article

A variety of exact solutions for the time fractional Cahn-Allen equation

¹ Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri Karatekin University, Cankiri, Turkey
² Art-Science Faculty, Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey
³ Education Faculty, Department of Mathematics Education, Yildiz Technical University, Istanbul, Turkey

^* e-mail: abekir@ogu.edu.tr

Received: 13 April 2015
Revised: 27 June 2015
Accepted: 9 July 2015
Published online: 24 July 2015

Abstract

In this paper, the nonlinear time fractional Cahn-Allen equation is studied by three distinct methods. These methods are also applied to derive a variety of travelling wave solutions with distinct physical structures for this nonlinear fractional equation. As a result, different types of exact solutions are obtained. The three methods demonstrate power, reliability and efficiency.