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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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Springer

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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.

Description

Abdeljawad, Thabet/0000-0002-8889-3768; Hammouch, Zakia/0000-0001-7349-6922

Keywords

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

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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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52

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2020

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1

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CrossRef : 7

Scopus : 85

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