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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2016 Issue 2, Pages 21–24 (Mi izkab180)

MATHEMATICS

A priori estimate of solution of equation with the fractal Laplace operator in the main part

O. Kh. Masaeva

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

Abstract: In this work the author obtained a priori estimate of solution of equation with Riemann-Liouville operator of fractional differentiation, satisfying nonlocal boundary condition, and corresponding in the case of integer values of order of fractional derivatives to equation with the Laplace operator in the main part.

Keywords: nonlocal boundary condition, priori estimate, the Riemann-Liouville operator, ABC method.

UDC: 517.95

Received: 18.02.2016



© Steklov Math. Inst. of RAS, 2026