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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 11/2018

01.11.2018

Implementation of three reliable methods for finding the exact solutions of (2 + 1) dimensional generalized fractional evolution equations

verfasst von: Mostafa M. A. Khater, Dipankar Kumar

Erschienen in: Optical and Quantum Electronics | Ausgabe 11/2018

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Abstract

In this study, we have implemented the three methods namely extended \((G^{\prime}/G)\)-expansion, extended \((1/G^{\prime})\)-expansion and \((G^{\prime}/G,\,\,1/G)\)-expansion methods to determine exact solutions for the (2 + 1) dimensional generalized time–space fractional differential equations. We use Conformable fractional derivative and its properties in this research to convert fractional differential equations to ordinary differential equations with integer order. By using above mentioned methods, three types of traveling wave solutions are successfully obtained which have been expressed by the hyperbolic, trigonometric, and rational function solutions. The considered methods and transformation techniques are efficient and consistent for solving nonlinear time and space-fractional differential equations.
Vorheriger Artikel A new simulation design of three-mode division (de)multiplexer based on a trident coupler and two cascaded 3 × 3 MMI silicon waveguides

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Metadaten
Titel
Implementation of three reliable methods for finding the exact solutions of (2 + 1) dimensional generalized fractional evolution equations
verfasst von
Mostafa M. A. Khater
Dipankar Kumar
Publikationsdatum
01.11.2018
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 11/2018
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-1249-3

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