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Title
Existence and stability results for non-hybrid single-valued and fully hybrid multi-valued problems with multipoint-multistrip conditions
Type of Research Article
Keywords
Fully hybrid equation; Gronwall inequality; Stability; Multi-strip; Multi-valued boundary problem; Condensing map
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.
Researchers Shahram Rezapour (First Researcher)، Bashir Ahmad (Second Researcher)، Abdellatif Boutiara (Third Researcher)، Kamsing Nonlaopon (Fourth Researcher)، Sina Etemad (Fifth Researcher)