Generalized Laplace-Fractional Mellin Transform and Operators

摘要

The theory of integral transforms is presented a direct and systematic technique for the presentation of classical and distribution theory. The main view of our work is the generalization of Laplace-Fractional Mellin transform to distribution of compact support using kernel method. Definition of Distributional Generalized Laplace fractional Mellin Transform (LMrT) is given. Some operators and properties for the Generalized Laplace fractional Mellin transform are proved.