Initial Value Problems with Generalized Fractional Derivatives and Their Solutions via Generalized Laplace Decomposition Method

Abstract

In this article, we use the$\mathcal{p}$-Laplace decomposition method to find the solution to the initial value problems that involve generalized fractional derivatives. The$\mathcal{p}$-Laplace decomposition method is used to get approximate series solutions. The Adomian decomposition is improved with the assistance of the$\mathcal{p}$-Laplace transform to examine the solutions of the given examples to demonstrate the precision of the current technique.