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A Quantum Generalized Mittag-Leffler Function Via Caputo q-Fractional Equations

Published 8 Feb 2011 in math.DS | (1102.1585v1)

Abstract: Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo.

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