The New Complex Integral Transform "Complex Sadik Transform" and Its Applications

Abstract

In this work, we present a novel complex transform namely the "Complex Sadik Transform". The propositions of this transformation are investigated. The complex transform is used to convert the core problem to a simple algebraic equation. Then, the answer to this primary problem can be obtained to find the solution to this equation and apply the inverse of the complex Sadik transform. As well, the complex Sadik transform is applied and used to find the solution of linear higher order ordinary differential equations. As well, we present and discuss, some important real life problems such as pharmacokinetics problems, nuclear physics problems, and Beam problems.