On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation
- Authors: Abduragimov G.E.1
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Affiliations:
- Дагестанский государственный университет
- Issue: Vol 230 (2023)
- Pages: 3-7
- Section: Articles
- URL: https://ogarev-online.ru/2782-4438/article/view/261966
- DOI: https://doi.org/10.36535/0233-6723-2023-230-3-7
- ID: 261966
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Abstract
In this paper, using the Krasnoselsky fixed-point theorem, we establish sufficient conditions for the existence of a positive solution to the boundary-value problem for one nonlinear fractional functional differential equation. To prove the uniqueness of a positive solution, we use the Banach fixed-point theorem. The results presented continue the author’s research on this topic.
About the authors
G. E. Abduragimov
Дагестанский государственный университет
Author for correspondence.
Email: gusen_e@mail.ru
Russian Federation, Махачкала
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