ON THE FINITE MELLIN TRANSFORM IN QUANTUM CALCULUS AND APPLICATION  

作　　者：Bochra NEFZI Kamel BRAHIM Ahmed FITOUHI 

机构地区：[1]Faculty of Sciences of Tunis, University of Tunis El Manar

出　　处：《Acta Mathematica Scientia》2018年第4期1393-1410,共18页数学物理学报（B辑英文版）

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.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.

关 键 词：q-Mellin transform finite Mellin transform fractional q-integral fractionalq-differential equation 

分 类 号：O172[理学—数学]