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ON THE FINITE MELLIN TRANSFORM IN QUANTUM CALCULUS AND APPLICATION 被引量:2
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作者 Bochra NEFZI Kamel BRAHIM Ahmed FITOUHI 《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1393-1410,共18页
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-co... 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. 展开更多
关键词 q-Mellin transform finite Mellin transform fractional q-integral fractionalq-differential equation
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