A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

By Thabet Abdeljawad, Betül Benli, Dumitru Băleanu. 2012

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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 (1995).

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/27ccc30ca31a23063548db39d35e3763ef6fccae