Analytic study for fractional coupled Burger’s equations via Sumudu transform method

[摘要] In this work, we aim to apply a reliable analytic algorithm based on homotopy perturbation Sumudu transform method (HPSTM) to examine the nonlinear time-fractional coupled Burger’s equations. The approximate analytical solution and some numerical examples show the accuracy and efficiency of the proposed method, which is simple and accurate in comparison to the Adomain decomposition method (ADM), homotopy perturbation method (HPM) and generalized differential transform method (GDTM).

[关键词] Fractional coupled Burger’s equation;Caputo fractional derivative;Sumudu transform;Homotopy perturbation method;He’s polynomials