Natural Transform for Solving Fractional High Order Differential Equations

Abstract

The natural transform ( nt ), a novel global method for solving fractional high-order differential equations (FDEs), is presented in this work. This technique functions as an all-encompassing integral transform that includes both Sumudu and Laplace transforms. Having inclusive fractional solutions for high-order fractional differential equations is the main goal of this work. The Caputo framework is used to express the fractional derivatives. To demonstrate the effectiveness, simplicity, and ease of use of the suggested approach and its applicability to the solution of differential equations in a variety of scientific domains, three problems are resolved.