More properties of the proportional fractional integrals and derivatives of a function with respect to another function
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Date
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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Citation
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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Q1
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Volume
2020
Issue
1