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Existence and Ulam–Hyers–Mittag-Leffler stability results of Ψ-Hilfer nonlocal Cauchy problem.

Authors :
Almalahi, Mohammed A.
Abdo, Mohammed S.
Panchal, Satish K.
Source :
Rendiconti del Circolo Matematico di Palermo (Series 2); Apr2021, Vol. 70 Issue 1, p57-77, 21p
Publication Year :
2021

Abstract

The main aim of this article is to investigate some new sufficient conditions of the existence and uniqueness results of ψ -Hilfer fractional functional differential equations with nonlocal condition and finite delay. Further, Ulam–Hyers–Mittag-Leffler stability of solutions to a proposed problem is discussed. Krasnoselskii fixed point theorem, Picard operator method and Gronwall's inequality lemma are the main tools of our analysis. An illustrative example is provided in support of the results obtained. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0009725X
Volume :
70
Issue :
1
Database :
Complementary Index
Journal :
Rendiconti del Circolo Matematico di Palermo (Series 2)
Publication Type :
Academic Journal
Accession number :
149418986
Full Text :
https://doi.org/10.1007/s12215-020-00484-8