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More properties of the proportional fractional integrals and derivatives of a function with respect to another function
Journal article   Open access  Peer reviewed

More properties of the proportional fractional integrals and derivatives of a function with respect to another function

Fahd Jarad, Thabet Abdeljawad, Saima Rashid and Zakia Hammouch
Advances in difference equations, Vol.2020(1), pp.1-16
19/06/2020
DOI: https://doi.org/10.1186/s13662-020-02767-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the derivatives in the Riemann-Liouville setting and the one in Caputo. In addition, we provide an integration by parts formulas related to the considered operators.
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https://doi.org/10.1186/s13662-020-02767-xView
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