Geodesic
On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 1, Tome 230 (2023), pp. 3-7.

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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.
Keywords: fractional functional differential equation, boundary-value problem, Green's function
Mots-clés : positive solution 
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     title = {On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation},
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G. È. Abduragimov. On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 1, Tome 230 (2023), pp. 3-7. http://geodesic.mathdoc.fr/item/INTO_2023_230_a0/

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