ON THE FINITE MELLIN TRANSFORM IN QUANTUM CALCULUS AND APPLICATION

作     者：Bochra NEFZI Kamel BRAHIM Ahmed FITOUHI 

作者机构：Faculty of Sciences of Tunis University of Tunis El Manar 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2018年第38卷第4期

页      面：1393-1410页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：q-Mellin transform finite Mellin transform fractional q-integral fractionalq-differential equation 

摘      要：The aim of the present paper is to introduce and study a new type of q-Mellin transform [11], that will be called q-finite Mellin transform. In particular, we prove for this new transform an inversion formula and q-convolution product. The application of this transform is also earlier proposed in solving procedure for a new equation with a new fractional differential operator of a variational type.