New General Complex Integral Transform on Time Scales

Abstract

Introduction: We begin by defining the New General Complex Integral Transform [13], and then we present a New General Complex Integral Transform on Time Scales . To solve a variety of dynamic equations with beginning values or boundary conditions that are represented by integral equations, integral transform methods are frequently employed. In order to solve dynamic equations, the New General Complex Integral transform on Time Scale is presented in this article.

Objectives: Within the Laplace Transform class, we provide the New General Complex Integral transform on Time Scales in this study. We examine this transform's characteristics. An initial value problem with a dynamic form of the equation is the primary focus of this research.

Methods: Differential equations of any order and the integral of a function can both be solved using the New General Complex Integral Transform on Time Scales. By establishing the convolution theorem, the idea of convolution is examined in further detail.  

Results: This integral transform is used for solving higher order initial value problems and integral equations.