This article is cited in 5 papers

COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT

The uniqueness of solution of the Dirichlet problem for the equation with fractal Laplace operator in the main part

O. Kh. Masaeva

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, 89-а, Shortanova st.

Abstract: We obtained a sufficient condition of uniqueness of the solution of the Dirichlet problem for the equation with operator of fractional differentiation Riemann-Liouville, corresponding the equation with Laplace operator in the main part by ABC method in the special convex region.

Keywords: Dirichlet problem, equation of fractional order, Riemann-Liouville operator, function of Mittag-Leffler type.

UDC: 517.95

Received: 14.10.2015

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