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Research Article Open access CC BY 4.0

Invariant Subspace Method and Some Exact Solutions of Time Fractional Modi ed Kuramoto-Sivashinsky Equation

A. Ouhadan, E. H. El Kinani

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 26 Mar 2016

10.9734/BJMCS/2016/25215

Abstract

In this paper, we construct the exact solutions of the modified nonlinear time fractional Kuramoto-Sivashinsky equation by suing the invariant subspace method. As a result, the obtained reduced system of nonlinear ordinary fractional equations is solved by the Laplace transform method and with using of some useful properties of Mittag-Leffler functions. Then, some exact solutions of the time fractional nonlinear studied equation are found.

Invariant subspace method caputo fractional derivative time fractional modified kuramotosivashinsky equation mittag-lefller functions

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R. Sahadevan, P. Prakash · Communications in Nonlinear Science and Numerical Simulation · 2017

Continuous and discrete symmetry methods for fractional differential equations

Youness Chatibi, El Hassan El Kinani, Abdelaziz Ouhadan · Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing and Control · 2022

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