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

M. Al-Towailb, M. Kirane

Research output: Contribution to journalArticlepeer-review

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.

Original languageBritish English
Pages (from-to)3223-3231
Number of pages9
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume42
Issue number6
DOIs
StatePublished - 15 Nov 2019

Keywords

  • Maximum principle
  • q-Leibniz rule
  • Riemann–Liouville and Caputo q-fractional derivatives

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