Homotopy-Sumudu transforms for solving system of fractional partial differential equations

Abstract

Abstract In this paper, we investigate the Sumudu transforms and homotopy analysis method (S-HAM) for solving a system of fractional partial differential equations. A general framework for solving such a kind of problems is presented. The method can also be utilized to solve systems of fractional equations of unequal orders. The algorithm is reliable and robust. Existence and convergence results concerning the proposed solution are given. Numerical examples are introduced to demonstrate the efficiency and accuracy of the algorithm.

Keywords

• Fractional system of PDEs
• Coupled Burger’s equation
• Sumudu transform
• Fractional calculus
• Homotopy analysis method