This article is cited in 4 papers

MATHEMATICS

Neumann problem for ordinary differential equation of fractional order with delay argument

M. G. Mazhgikhova

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а

Abstract: The solution of the Neumann problem for differential equation of fractional order with delay argument has been studied. Green's function of this is constructed. The theorem of existence and uniqueness of solution of the problem is proved. A condition for unique solvability has been found.

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

UDC: 517.91

Received: 18.02.2016