L. Kh. Gadzova, “A nonlocal boundary value problem for an ordinary differential equation with discretely distributed differentiation operator”, News of the Kabardin-Balkar scientific center of RAS, 2017, Issue 1,Pages <nobr>12

MATHEMATICS. MATHEMATIC MODELING

A nonlocal boundary value problem for an ordinary differential equation with discretely distributed differentiation operator

L. Kh. Gadzova

"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: The theorem of existence and uniqueness of the solution of ordinary differential equations of fractional order with constant coefficients is proved.

Keywords: boundary value problem, operator of fractional differentiation, Riemann-Liouville operator, Caputo operator.

UDC: 517.91

Received: 20.02.2017