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Exact solutions for nonlinear fractional differential equations using exponential rational function method

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Abstract

Exponential rational function method is a relatively new mechanism to get exact solutions of nonlinear fractional differential equations. In this paper, fractional derivatives in the sense of Jumarie’s modified Riemann–Liouville are defined. Fractional complex transform is used to convert fractional differential equations into ordinary differential equations. This method is more appropriate for solving different kind of nonlinear fractional differential equations emerging in mathematical physics.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan

    Syed Tauseef Mohyud-Din & Sadaf Bibi

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  1. Syed Tauseef Mohyud-Din
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  2. Sadaf Bibi
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Correspondence to Syed Tauseef Mohyud-Din.

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Mohyud-Din, S.T., Bibi, S. Exact solutions for nonlinear fractional differential equations using exponential rational function method. Opt Quant Electron 49, 64 (2017). https://doi.org/10.1007/s11082-017-0895-9

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