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Optical and Quantum Electronics

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01.08.2017

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

verfasst von: Alper Korkmaz, Kamyar Hosseini

Erschienen in: Optical and Quantum Electronics | Ausgabe 8/2017

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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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Titel: Exact solutions of a nonlinear conformable time-fractional parabolic equation with exponential nonlinearity using reliable methods
verfasst von: Alper Korkmaz
Kamyar Hosseini
Publikationsdatum: 01.08.2017
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 8/2017
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-017-1116-2

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