Handling Growth and Decay Problems by the New General Integral Transform

Abstract

The mathematical techniques known as integral transformations are very adaptable and may be used in a multitude of domains including applied sciences, engineering, and mathematics. Numerical calculations and theories involving differential equations have made considerable use of integral transform techniques. Complex functions can be broken down into more manageable functions that can be solved and examined via integral transformations. One of the most prevalent applications of exponential functions involves growth and decay models. Exponential growth and decay show up in a host of natural applications. Almost everything in our world grows and decays. The growth and decay problems arise in the field of chemistry, physics, biology, social science, zoology. The processes of growth and decay are expressed in terms of mathematical models. In this paper, an integral transform called as “New General Integral Transform” is employed for solving growth and decay problems and some applications are given to demonstrate the effectiveness of this transform for growth and decay problems.