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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2019 Volume 106, Issue 6, Pages 860–865 (Mi mzm12209)
This article is cited in 7 papers

Nonlocal Boundary-Value Problem for a Linear Ordinary Differential Equation with Fractional Discretely Distributed Differentiation Operator

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: A nonlocal boundary-value problem for a linear ordinary differential equation with fractional discretely distributed differentiation operator is considered. The existence and uniqueness theorem for the solution of this problem is proved.

Keywords: Caputo derivative, boundary-value problem, fractional derivative, ordinary differential equation of fractional order, discretely distributed differentiation operator.

UDC: 517.911

Received: 02.10.2018
Revised: 29.01.2019

DOI: 10.4213/mzm12209


 English version: Mathematical Notes, 2019, 106:6, 904–908

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© Steklov Math. Inst. of RAS, 2024