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 195, Pages 25–34
DOI: https://doi.org/10.36535/0233-6723-2021-195-25-34 (Mi into829) 		 
Green's function of an interior boundary-value problem for a fractional ordinary differential equation with constant coefficients

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.36535/0233-6723-2021-195-25-34
Abstract: We consider an interior boundary-value problem for a linear, ordinary differential equation with an operator of fractional, discretely distributed differentiation. The boundary conditions connect the values of the unknown solution at the ends of the interval with the values at interior points. Green's function is constructed and the theorem of the existence and uniqueness of a solution is proved.
Keywords: interior boundary value problem, Green's function, Caputo derivative, fractional ordinary differential equation, operator of discretely distributed differentiation.
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34А08
Language: Russian
Citation: L. Kh. Gadzova, “Green's function of an interior boundary-value problem for a fractional ordinary differential equation with constant coefficients”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195, VINITI, Moscow, 2021, 25–34
Citation in format AMSBIB
\Bibitem{Gad21}
\by L.~Kh.~Gadzova
\paper Green's function of an interior boundary-value problem for a fractional ordinary differential equation with constant coefficients
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 195
\pages 25--34
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into829}
\crossref{https://doi.org/10.36535/0233-6723-2021-195-25-34}
\elib{https://elibrary.ru/item.asp?id=46664806}
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