Invariant Subspace Method and Some Exact Solutions of Time Fractional Modi ed Kuramoto-Sivashinsky Equation
A. Ouhadan
Centre Régional des Métiers de l'Education et de la Formation, Meknès, BP 255, Morocco.
E. H. El Kinani *
Université Moulay Ismaïl Ecole Nationale Supérieure des Arts et Métiers (ENSAM), Marjane 2, B.P. 15290, Meknès, Morocco and Department of Mathematical, Faculty of Sciences and Technics, Moulay Ismaïl University, Errachidia, BP 509, Morocco.
*Author to whom correspondence should be addressed.
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.
Keywords: Invariant subspace method, caputo fractional derivative, time fractional modified kuramotosivashinsky equation, mittag-lefller functions