@article{4beb2d8248014e19a1472c2dc4a9aaaf,
title = "Some Inequalities Involving Fractional q-Derivatives Related to the q-Leibniz Rule",
abstract = "In this paper, we present some inequalities for Riemann–Liouville and Caputo q-fractional derivatives related to the q-Leibniz rule. We used one of the inequalities to prove the maximum principle for a time fractional q-Cauchy differential equation.",
keywords = "Maximum principle, q-Leibniz rule, Riemann–Liouville and Caputo q-fractional derivatives",
author = "M. Al-Towailb and M. Kirane",
note = "Funding Information: This research project was supported by a grant from the Research Center of the Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University. We are grateful to the referees for helpful remarks. Also, the authors want to thank Prof. Predrag Rajkovi{\'c} for the suggestions and comments that helped us to improve this article. Publisher Copyright: {\textcopyright} 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",
year = "2019",
month = nov,
day = "15",
doi = "10.1007/s40840-018-0655-4",
language = "British English",
volume = "42",
pages = "3223--3231",
journal = "Bulletin of the Malaysian Mathematical Sciences Society",
issn = "0126-6705",
publisher = "Springer Singapore",
number = "6",
}