The q-fractional analogue for Gronwall-type inequality
Dynamical Systems
2016-09-20 v1 Classical Analysis and ODEs
Abstract
In this article, we utilize \emph{q}--fractional Caputo initial value problems of order to derive a \emph{q}--analogue for Gronwall--type inequality. Some particular cases are derived where \emph{q}--Mittag--Leffler functions and \emph{q}--exponential type functions are used. An example is given to illustrate the validity of the derived inequality.
Keywords
Cite
@article{arxiv.1305.2082,
title = {The q-fractional analogue for Gronwall-type inequality},
author = {Thabet Abdeljawad and Jehad Alzabut},
journal= {arXiv preprint arXiv:1305.2082},
year = {2016}
}