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Existence and stability results for non-hybrid single-valued and fully hybrid multi-valued problems with multipoint-multistrip conditions.

Authors :
Rezapour, Shahram
Ahmad, Bashir
Boutiara, Abdellatif
Nonlaopon, Kamsing
Etemad, Sina
Source :
Journal of Inequalities & Applications. 6/13/2022, Vol. 2022 Issue 1, p1-35. 35p.
Publication Year :
2022

Abstract

In this paper, we study a new class of non-hybrid single-valued fractional boundary value problems equipped with integro-non-hybrid-multiterm-multipoint-multistrip conditions and a fully hybrid integro-multi-valued fractional boundary value problem by some new methods including the Kuratowski measures based on Sadovskii's theorem, Krasnoselskii–Zabreiko criterion, and Dhage's technique. We generalize the Gronwall inequality in relation to a non-hybrid single-valued fractional boundary value problem, and then we investigate the stability notions in two versions. To examine the correctness of the results, we provide some examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2022
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
157414452
Full Text :
https://doi.org/10.1186/s13660-022-02815-y