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JOURNALS // Adyghe International Scientific Journal // Archive

Reports of AIAS, 2021 Volume 21, Issue 3, Pages 16–20 (Mi aman10)

MATHEMATICS

Cauchy problem for an ordinary fractional differential equation with variable delay

M. G. Mazhgikhova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: For a fractional differential equation with variable delay, a solution to the initial problem is obtained by the method of steps. The existence and uniqueness theorem of the solution is proved.

Keywords: fractional differential equation, differential equation with variable delay, method of steps.

UDC: 517.91

DOI: 10.47928/1726-9946-2021-21-3-16-20



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© Steklov Math. Inst. of RAS, 2025