Generalization of complex Al-Tememe transformation and its applications

Abstract

The increasing need for integral transforms to solve the problems of applications in many scientific fields has led to the relentless pursuit of suggesting new integral transforms. An innovative generalization of the Complex Al-Tememe integral transformation is introduced and discussed thoroughly in this work, where the properties of the proposed transformation and its inverse are exposed by utilizing it in some fundamental functions and the efficiency of the generalized Complex Al-Teme integral transform is demonstrated by using it in solving Euler and multiplication ordinary differential equations with variable coefficients.