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Optical and Quantum Electronics

Erschienen in:

01.11.2017

On a new technique for solving the nonlinear conformable time-fractional differential equations

verfasst von: K. Hosseini, A. Bekir, M. Kaplan, Ö. Güner

Erschienen in: Optical and Quantum Electronics | Ausgabe 11/2017

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Abstract

Real-world phenomena often are modelled by the nonlinear fractional differential equations. In this work, a novel technique called the \(\exp \left( { - \phi \left( \varepsilon \right)} \right)\) method is employed to find the exact solutions of nonlinear FDEs. Some well-known time-fractional differential equations in the context of conformable derivative, viz. the time-fractional modified Benjamin–Bona–Mahony (BBM) equation and the time-fractional Cahn–Hilliard (CH) equation are considered to test the usefulness of the method. The utility of the \(\exp \left( { - \phi \left( \varepsilon \right)} \right)\) method in solving nonlinear FDEs is proved.

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Titel: On a new technique for solving the nonlinear conformable time-fractional differential equations
verfasst von: K. Hosseini
A. Bekir
M. Kaplan
Ö. Güner
Publikationsdatum: 01.11.2017
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 11/2017
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-017-1178-1

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