On Hilfer generalized proportional fractional derivative

On Hilfer generalized proportional fractional derivative

Abstract Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional derivative. Some important properties of the p...

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Bibliographic Details
Main Authors: Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut, Wachirapong Jirakitpuwapat
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Advances in Difference Equations
Subjects:
Existence
Proportional fractional derivative
Fixed point theorems
Nonlocal condition
Volterra integral equation
Online Access:http://link.springer.com/article/10.1186/s13662-020-02792-w

Internet

http://link.springer.com/article/10.1186/s13662-020-02792-w

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