Fractional partial differential equations and novel double integral transform

Abstract

We propose in this study a combined expression mainly based on the double transformation of Laplace and Sumudu (DLST), by developing some results associated with this proposed transformation. We can apply this double transformation to certain functions to achieve interesting results which can be used to solve certain classes of fractional partial differential equations (FPDE). The numerical results show that this double transformation can lead to an exact solution of linear FPDEs. Laplace-Sumudu transform; Laplace transform; Sumudu transform; Fractional partial differential equations.

Keywords

• Double Laplace-Sumudu transform
• Sumudu transform
• Fractional partial differential equations