A Quantum Generalized Mittag-Leffler Function Via Caputo q-Fractional Equations
Dynamical Systems
2011-02-09 v1
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.
Cite
@article{arxiv.1102.1585,
title = {A Quantum Generalized Mittag-Leffler Function Via Caputo q-Fractional Equations},
author = {Thabet Abdeljawad and Betül Benli},
journal= {arXiv preprint arXiv:1102.1585},
year = {2011}
}