Refaad for Studies, Research and Developement
Exact Solution of a Nonlinear TimeCaputo Fabrizio Fractional Dispersive Equation
25199269 (Print)
25199277 (Online)
Volume 4
Issue 2
2018

0
Exact Solution of a Nonlinear TimeCaputo Fabrizio Fractional Dispersive Equation
67
75
English
Abdelaziz OUHADANRegional Center of Education and Training Trades, Mathematics Department, Meknes, Moroccoaouhadan@gmail.com
Youness CHATIBINational School of Arts and Crafts, Mathematics Department, Meknes, Moroccchatbiyouness@gmail.com
El Hassan ELKINANINational School of Arts and Crafts, Mathematics Department, Meknes, Moroccoelkinani_67@gmail.com
Ibrahim Ahmed ALSUBAIHICollege of Science,Taibah University, Department of Mathematics, Saudi Arabiisubaihi@taibahu.edu.sa
In this paper, the invariant subspace method is used to solve the nonlinear ﬁfth order dispersive equation involving timeCaputo Fabrizio fractional derivative. A non trivial exact solution of this nonlinear fractional partial diﬀerential equation is obtained and it is employed to demonstrate the memory eﬀect when the fractional order is close to zero.
Invariance subspace method; CaputoFabrizio fractional derivative; fractional ﬁfth order dispersive equation.
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