This article is cited in 9 papers

Mathematics

Initial and boundary value problems for ordinary differential equation of fractional order with delay

M. G. Mazhgikhova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: We obtained the initial and boundary value problems for linear ordinary differential equation of fractional order with delay. The theorems of solution existence and uniqueness are proved for the investigated problems. The solution of the boundary value problem is written out in terms of the Green's function.

Keywords: differential equation of fractional order, differential equation with delay, Green's function.

UDC: 517.91

Received: 09.11.2017
Revised: 20.12.2017

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