Exact Solution of Two-Dimensional Fractional Partial Differential Equations

Abstract

In this study, we examine adapting and using the Sumudu decomposition method (SDM) as a way to find approximate solutions to two-dimensional fractional partial differential equations and propose a numerical algorithm for solving fractional Riccati equation. This method is a combination of the Sumudu transform method and decomposition method. The fractional derivative is described in the Caputo sense. The results obtained show that the approach is easy to implement and accurate when applied to various fractional differential equations.

Keywords

• fractional differential equations
• fractional generalized biologic population
• Sumudu transform
• Adomian decomposition method
• Caputo fractional derivative