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Research Article Open access CC BY 3.0

Solution of Nonlinear Space–time Fractional Differential Equation via the Triple Fractional Riccati Expansion Method

E. A. B. Abdel-Salam, M. S. Jazmati

Journal of Advances in Mathematics and Computer Science · pp. 3464–3475 · Published 6 Oct 2014

10.9734/BJMCS/2014/12974

Abstract

In this paper, the triple fractional Riccati expansion method is applied to solve fractional differential equation. To illustrate the effectiveness of the method, the nonlinear space-time fractional Klein–Gordon equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time.

Triple fractional Riccati expansion method nonlinear fractional differential equation modified Riemann–Liouville derivative exact solution nonlinear space-time fractional Klein–Gordon equation.

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