Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

Abstract In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality involved in a ψ-Riemann–Liouvill...

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Bibliographic Details
Main Authors: Kui Liu, JinRong Wang, Donal O’Regan
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Advances in Difference Equations
Subjects:
ψ-Hilfer fractional-order delay differential equations
Solutions
Existence
Stability
Online Access:http://link.springer.com/article/10.1186/s13662-019-1997-4

Internet

http://link.springer.com/article/10.1186/s13662-019-1997-4

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