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Solutions of 1-D Dispersive Equation with Time and Space-Fractional Derivatives

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This paper applied Adomian decomposition method to obtain the solution of fractional third-order dispersive equation with time and space-fractional derivatives. The iterative technique is carried out in a straightforward manner… Click to show full abstract

This paper applied Adomian decomposition method to obtain the solution of fractional third-order dispersive equation with time and space-fractional derivatives. The iterative technique is carried out in a straightforward manner without the need for transforms or numerical approximations. Also, the existence and convergence were proofed as well. The generalized dispersive equation was solved to verify of the effectiveness of the method.

Keywords: equation time; space fractional; dispersive equation; time space; fractional derivatives; equation

Journal Title: International Journal of Applied and Computational Mathematics
Year Published: 2017

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