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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{INTO_2023_230_a0,
     author = {G. \`E. Abduragimov},
     title = {On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--7},
     publisher = {mathdoc},
     volume = {230},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_230_a0/}
}
TY  - JOUR
AU  - G. È. Abduragimov
TI  - On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2023
SP  - 3
EP  - 7
VL  - 230
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2023_230_a0/
LA  - ru
ID  - INTO_2023_230_a0
ER  - 
%0 Journal Article
%A G. È. Abduragimov
%T On the existence and uniqueness of a positive solution to a boundary-value problem for one nonlinear fractional functional differential equation
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2023
%P 3-7
%V 230
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2023_230_a0/
%G ru
%F INTO_2023_230_a0
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/