This article is cited in 5 papers

MATHEMATICS. MATHEMATIC MODELING

An estimate for the first eigenvalue of the Dirichlet problem for an ordinary differential equation with fractional derivatives with different origins

Eneyeva L. M.

"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: We study the Dirichlet problem for an ordinary linear differential equation of fractional order. The principal differential part of the equation is the composition of Riemann-Liouville and Caputo fractional derivatives with the different origins. In the paper, we found a lower-bound estimate for the first eigenvalue of the problem.

Keywords: fractional derivative, Riemann-Liouville derivative, Caputo derivative, Dirichlet problem, eigenvalue.

UDC: 517.927

Received: 20.02.2017