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Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods

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Abstract

A nonlinear conformable time-fractional parabolic equation with exponential nonlinearity is explored, in this article. First, under the specific transformations, the time-fractional parabolic equation is changed into a nonlinear ODE of integer order, and then, the reduced equation is solved using two lately established techniques called the \({ \exp }\left( { - \varphi \left( \varepsilon \right)} \right)\)-expansion and modified Kudryashov methods. Several exact solutions in various wave forms for the nonlinear conformable time-fractional parabolic equation with exponential nonlinearity are formally constructed.

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Authors and Affiliations

  1. Department of Mathematics, Cankiri Karatekin University, 18200, Cankiri, Turkey

    Alper Korkmaz

  2. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    Kamyar Hosseini

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  1. Alper Korkmaz
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  2. Kamyar Hosseini
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Correspondence to Alper Korkmaz.

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Korkmaz, A., Hosseini, K. Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods. Opt Quant Electron 49, 278 (2017). https://doi.org/10.1007/s11082-017-1116-2

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  • DOI: https://doi.org/10.1007/s11082-017-1116-2

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