A generalization of the concept of <Emphasis Type="Italic">q</Emphasis>-fractional integrals |
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| Authors: | Predrag M Rajković Sladjana D Marinković Miomir S Stanković |
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| Institution: | (1) Centre for Mathematical Sciences (CMS), Arunapuram P.O., Pala, 686574 Pala Campus, India;(2) 34 Panchi Batti Chauraha, Jodhpur, 342 011, Ratananda, India;(3) United Nations Vienna International Centre Space Application Programme, 1400 Wien, Austria; |
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| Abstract: | In this paper, we consider the fractional q-integral with variable lower limit of integration. We prove the semigroup property of these integrals, and a formula of Leibniz
type. Finally, we evaluate fractional q-integrals of some functions. The consideration of q-exponential function in that sense leads to q-analogs of Mittag-Leffler function. |
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| Keywords: | basic hypergeometric functions q-integral q-derivative fractional integrals Mittag-Leffler function |
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