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

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2020

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Abstract

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. © 2020, The Author(s).

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General Caputo Proportional Derivative, General Proportional Derivatives, General Proportional Integrals

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Jarad, Fahd...et al. (2020). "More properties of the proportional fractional integrals and derivatives of a function with respect to another function", Advances in Difference Equations, Vol. 2020, No. 1.

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Advances in Difference Equations

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2020

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1

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