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

2011/02/08 by Thabet Abdeljawad, Abdeljawad, Thabet, Betül Benli +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1102.1585

arxiv created 2011/02/08 · arxiv updated 2011/02/09

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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