Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications

2020/12/18 by Huseynov, Ismail T., Ahmadova, Arzu, Mahmudov, Nazim I.
#26A33 #34A08 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2012.11360

Abstract

In recent years, the theory for Leibniz integral rule in the fractional sense has not been able to get substantial development. As an urgent problem to be solved, we study a Leibniz integral rule for Riemann-Liouville and Caputo type differentiation operators with general fractional-order of n-1

Related

• Type of Leibniz Rule on Riemann-Liouville Variable-Order Fractional Integral and Derivative Operator
• Leibniz type rule: Ψ-Hilfer fractional derivative
• On the fractional version of Leibniz rule
• On q-fractional derivatives of Riemann--Liouville and Caputo type
• Comments on various extensions of the Riemann-Liouville fractional derivatives : about the Leibniz and chain rule properties