Dualities between ''Kamal & Mahgoub Integral Transforms'' and ''Some Famous Integral Transforms''

Abstract

Abdelilah Kamal and Mohand Mahgoub recently introduced new integral transforms separately by the names the “Kamal transform” and “Mahgoub transform” to facilitate the solution of differential and integral equations. However, in this paper, these newly introduced integral transforms will closely be studied in relation to the some existing famous integral transforms defined in the time domain. The study will also try to establish the duality relations existing between these new integral transforms and in particular, the Laplace, Sumudu, Elzaki and Aboodh integral transforms. Further, supporting illustrations obtained from some test functions as examples are will be presented.