On the finite Mellin transform in quantum calculus and application |
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Authors: | Bochra NEFZI Kamel BRAHIM Ahmed FITOUHI |
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Affiliation: | Faculty of Sciences of Tunis, University of Tunis El Manar, Tunisia |
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Abstract: | 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. |
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Keywords: | finite Mellin transform 33D60 33D05 33D15 |
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