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The first integral method for Wu–Zhang system with conformable time-fractional derivative

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Abstract

In this paper, the first integral method is used to construct exact solutions of the time-fractional Wu–Zhang system. Fractional derivatives are described by conformable fractional derivative. This method is based on the ring theory of commutative algebra. The results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equations.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their useful comments. This research work has been supported by a research grant from the University of Mazandaran.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Mostafa Eslami

  2. Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran

    Hadi Rezazadeh

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  1. Mostafa Eslami
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  2. Hadi Rezazadeh
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Correspondence to Mostafa Eslami.

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Eslami, M., Rezazadeh, H. The first integral method for Wu–Zhang system with conformable time-fractional derivative. Calcolo 53, 475–485 (2016). https://doi.org/10.1007/s10092-015-0158-8

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  • DOI: https://doi.org/10.1007/s10092-015-0158-8

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