Some Inequalities Involving Fractional q-Derivatives Related to the q-Leibniz Rule

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. © 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Authors
Al-Towailb M.1 , Kirane M. 2, 3, 4
Journal
Bulletin of the Malaysian Mathematical Sciences Society
Publisher
Springer
Number of issue
6
Language
English
Pages
3223-3231
Status
Published
Link
External link
DOI
10.1007/s40840-018-0655-4
Volume
42
Year
2019
Organizations
  • 1 Department of Natural and Engineering Science, King Saud University, Riyadh, Saudi Arabia
  • 2 LaSIE, Faculté des Sciences et de Technologies, Université de La Rochelle, La Rochelle, 17000, France
  • 3 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
  • 4 RUDN, Moscow, Russian Federation
Keywords
Maximum principle; q-Leibniz rule; Riemann–Liouville and Caputo q-fractional derivatives
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54905/
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