Exploration of novel iterative solution of nonlinear partial fractional differential equations with mixed derivatives via Adomian multi Sumudu transform

Abstract

In this paper, the Presented work is followed by Sumudu transform instead of Laplace transform within the novelty of a new transformation called the Sumudu Transform. A novel iterative approach is proposed for a dynamic nonlinear partial fractional differential equation with mixed derivatives. This type of nonlinear partial differential cannot be managed as an analytical method. The proposed method is based on the Adomian multi-Sumudu transform, which solves intricate equations and we conform to the applicability of the proposed methodology via numerical examples. Also, the stability, convergence, and uniqueness of particular problems are discussed.