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Reports of AIAS, 2021 Volume 21, Issue 2, Pages 9–14 (Mi aman6)

MATHEMATICS

Problem for an ordinary differential equation with a general boundary condition

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: For an ordinary differential equation of fractional order with a general boundary condition, a general representation of the solution of the equation is found, a condition of unique solvability is found, and an explicit representation of the solution is constructed.

Keywords: fractional order equations, functional, Gerasimov-Caputo fractional derivative, Mittag-Leffler function.

UDC: 517.91

DOI: 10.47928/1726-9946-2021-21-2-9-14



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© Steklov Math. Inst. of RAS, 2024