This article is cited in 1 paper

MATHEMATICS. MATHEMATIC MODELING

Cauchy problem for ordinary differential equation with Riemann-Liouville operator with delay

M. G. Mazhgikhova

"Federal scientific center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", Institute of Applied Mathematics and Automation, 360004, KBR, Nalchik, Shortanov St., 89-a

Abstract: Cauchy problem for differential equations of fractional order with delay had been studied. The theorem of existence and uniqueness of solution of the problem is proved.

Keywords: Cauchy problem, the differential equation of fractional order, Riemann-Liouville operator, differential equation with delay.

UDC: 517.91

Received: 20.02.2017