This article is cited in 3 papers

MATHEMATICS

A priori estimate for an equation with fractional derivatives with different origins

Liana M. Èneeva

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89 A, Russia

Abstract: We consider an ordinary differential equation of fractional order with the composition of leftand right-sided fractional derivatives, and with variable potential. The considered equation is a model equation of motion in fractal media. We prove an a priori estimate for solutions of a mixed two-point boundary value problem for the equation under study.

Keywords: Riemann-Liouville fractional derivative, Caputo fractional derivative, boundary value problem, a priori estimate.

UDC: 517.927

MSC: 26A33

DOI: 10.26117/2079-6641-2019-29-4-41-47

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