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JOURNALS // Adyghe International Scientific Journal // Archive

Reports of AIAS, 2021 Volume 21, Issue 4, Pages 10–14 (Mi aman24)

This article is cited in 1 paper

MATHEMATICS

Generalized boundary value problem for a second order differential equation with fractional derivative

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: A generalized boundary value problem for a second-order differential equation with a fractional derivative is solved. An explicit representation of the solution of the problem under study is constructed, a condition for unique solvability is found, and a uniqueness theorem for the solution is proved.

Keywords: fractional order equations, functional, Riemann – Liouville operator, Mittag-Leffler function.

UDC: 517.91

DOI: 10.47928/1726-9946-2021-21-4-10-14



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© Steklov Math. Inst. of RAS, 2024