Existence and stability of solutions of ψ-Hilfer fractional functional differential inclusions with non-instantaneous impulses

Existence and stability of solutions of ψ-Hilfer fractional functional differential inclusions with non-instantaneous impulses

In this paper, we prove two existence results of solutions for an ψ-Hilfer fractional non-instantaneous impulsive differential inclusion in the presence of delay in an infinite dimensional Banah spaces. Then, by using the multivalued weakly Picard operator theory, we study the stability of solutions...

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Bibliographic Details
Main Authors: A.G. Ibrahim, A.A. Elmandouh
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
non-instantaneous impulsive differential inclusion
ψ−hilfer fractional derivative
ulam-hyers-rassias stability
muktivalued weakly picard operators
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021628?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021628?viewType=HTML

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