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

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,...

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Bibliographic Details
Main Authors: Fahd Jarad, Thabet Abdeljawad, Saima Rashid, Zakia Hammouch
Format: Article
Language:English
Published: SpringerOpen 2020-06-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-02767-x