A new formula for investigating delay integro-differential equations using the differential transform method involving a quotient of two functions

Abstract

This paper deals with various new formulas involving a quotient of two or more functions using applicable techniques of the differential transform method (DTM). These newly developed formulas could be helpful for solving delay differential equations and integro-differential equations, which are highly challenging to solve directly. Moreover, a delay differential equation is completely solved using various algorithms in MATLAB incorporating these new formulas.