Existence and stability results for non-hybrid single-valued and fully hybrid multi-valued problems with multipoint-multistrip conditions-Reference-Cited by-同舟云学术

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

Published:2022-06-13 Issue:1 Volume:2022 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Rezapour Shahram,Ahmad Bashir,Boutiara Abdellatif,Nonlaopon Kamsing^ORCID,Etemad Sina

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13660-022-02815-y.pdf

Reference40 articles.

1. Podlubny, I.: Fractional Differential Equations. Academic Press, New York (1999)

2. Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Differential Equations. Wiley, New York (1993)

3. Deimling, K.: Multi-Valued Differential Equations. de Gruyter, Berlin (1992)

4. Aubin, J., Cellna, A.: Differential Inclusions: Set-Valued Maps and Viability Theory. Springer, Berlin (1984)

5. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of the Fractional Differential Equations, vol. 204. North-Holland, Amsterdam (2006)