Geodesic
On the existence and uniqueness of a positive solution to a boundary-value problem for a nonlinear fractional-order functional differential equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 3-7

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In this paper, we consider a boundary-value problem for one nonlinear functional differential equation of fractional order. Using special topological means, we prove the existence of a unique positive solution to the problem considered.
Mots-clés : positive solution
Keywords: boundary-value problem, cone, Green's function. 
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     author = {G. \`E. Abduragimov},
     title = {On the existence and uniqueness of a positive solution to a boundary-value problem for a nonlinear fractional-order 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 = {194},
     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/INTO_2021_194_a0/}
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G. È. Abduragimov. On the existence and uniqueness of a positive solution to a boundary-value problem for a nonlinear fractional-order functional differential equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 3-7. http://geodesic.mathdoc.fr/item/INTO_2021_194_a0/