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

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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… Click to show full 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: leibniz rule; derivatives related; inequalities involving; fractional derivatives; related leibniz

Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2018

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