Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function
Dynamical Systems
2015-05-27 v1
Abstract
Caputo q-fractional derivatives are introduced and studied. A Caputo -type q-fractional initial value problem is solved and its solution is expressed by means of a new introduced q-Mittag-Leffler function. Some open problems about q-fractional integrals are proposed as well.
Cite
@article{arxiv.1102.1444,
title = {Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function},
author = {Thabet Abdeljawad and Dumitru Baleanu},
journal= {arXiv preprint arXiv:1102.1444},
year = {2015}
}