Some Results on the Generalized Mellin Transforms and Applications

Authors : Ezgi ERDOĞAN, Selcan KOCABAŞ, Nese DERNEK

Pages : 175-181

View : 15 | Download : 11

Publication Date : 2019-04-15

Article Type : Research Paper

Abstract :This paper discusses the generalized Mellin transforms and their properties with examples and applications to integral and partial differential equations. Several simple lemmas and theorems dealing with general properties of the generalized Mellin transform are proved. The main focus of this paper is to develop the method of the generalized Mellin transform to solve partial differential equations and integral equations in applied mathematics.
Keywords : Fourier transforms, Mellin transforms, generalized Mellin transforms, integral, partial differential equations