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

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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.

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Author information

Authors and Affiliations

  1. Faculty of Economics and Administrative Sciences, Department of International Trade, Cankiri Karatekin University, Cankiri, Turkey

    Ozkan Güner

  2. Art-Science Faculty, Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey

    Ahmet Bekir

  3. Education Faculty, Department of Mathematics Education, Yildiz Technical University, Istanbul, Turkey

    Adem C. Cevikel

Authors
  1. Ozkan Güner
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  2. Ahmet Bekir
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  3. Adem C. Cevikel
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Correspondence to Ahmet Bekir.

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Güner, O., Bekir, A. & Cevikel, A.C. A variety of exact solutions for the time fractional Cahn-Allen equation. Eur. Phys. J. Plus 130, 146 (2015). https://doi.org/10.1140/epjp/i2015-15146-9

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  • DOI: https://doi.org/10.1140/epjp/i2015-15146-9

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