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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GOLD
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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, Laplace transform, General proportional derivatives, Evolutionary biology, Matrix Inequalities and Geometric Means, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Fractional Integrals, Differential equation, Green's function for the three-variable Laplace equation, QA1-939, FOS: Mathematics, Biology, General Caputo proportional derivative, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Mittag-Leffler function, Applied Mathematics, General proportional integrals, Fractional calculus, Partial differential equation, Applied mathematics, Fractional Derivatives, Function (biology), Modeling and Simulation, Physical Sciences, Fractional Calculus, Mathematics, Ordinary differential equation, Inverse Laplace transform, Fractional ordinary differential equations, proportional integrals, general Caputo proportional derivative, Fractional derivatives and integrals, general proportional derivatives
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Fields of Science
01 natural sciences, 0101 mathematics
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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OpenCitations Citation Count
52
Source
Advances in Difference Equations
Volume
2020
Issue
1
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Scopus : 90
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