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

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

2011-02-08

arxiv.org/abs/1102.1585v1

Mathematics

Dynamical Systems

Scientific paper

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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