Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 194, Pages 3–7
DOI: https://doi.org/10.36535/0233-6723-2021-194-3-7 (Mi into811) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the existence and uniqueness of a positive solution to a boundary-value problem for a nonlinear fractional-order functional differential equation

G. È. Abduragimov

Daghestan State University, Makhachkala
Full-text PDF (144 kB) Citations (2)
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DOI: https://doi.org/10.36535/0233-6723-2021-194-3-7
Abstract: 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.
Keywords: positive solution, boundary-value problem, cone, Green's function.
Document Type: Article
UDC: 517.927.4
MSC: 34K10
Language: Russian
Citation: 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”, 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, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 194, VINITI, Moscow, 2021, 3–7
Citation in format AMSBIB
\Bibitem{Abd21}
\by G.~\`E.~Abduragimov
\paper On the existence and uniqueness of a positive solution to a boundary-value problem for a nonlinear fractional-order functional differential equation
\inbook 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
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 194
\pages 3--7
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into811}
\crossref{https://doi.org/10.36535/0233-6723-2021-194-3-7}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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