On System of Time-Fractional Partial Differential Equations

Abstract

In this paper, we apply Homotopy Perturbation Transformation Method (HPM) using the Laplace transformation to tackle time-fractional systems of Partial Differential equations. The proposed technique is fully compatible with the complexity of these problems and obtained results are highly encouraging. Numerical results coupled with graphical representations explicitly reveal the complete reliability and efficiency of the suggested algorithm.

Keywords

• Fractional partial differential equations
• homotopy perturbation method
• Laplace transform
• system of PDEs
• HPTM