Solving Linear System of Volterra Integro-Fractional Delay Differential Equations Using Laplace Adomian Decomposition With Modification

Abstract

This study uses for the first time a Laplace Adomian decomposition with a modified technique for solving linear system of Volterra integro-fractional delay differential equations. The fractional part is a Caputo type, and the delay part is a retarded delay time lag. This strategy is essentially based on an elegant combination of the Laplace transform strategy, the series expansion strategy, and the modified Adomian polynomial. This technique computes analytical work using multiple sorts of kernels, which have qualities such as difference kernels and simple degenerate kernels. This method is good for solving the problem like that and getting a good result. These are illustrated by assessing the efficiency and accuracy of the cause technique and solving specific examples.