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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018 Number 3(23), Pages 83–90 (Mi vkam258)

This article is cited in 4 papers

FRACTIONAL CALCULUS AND ITS APPLICATION

The neumann problem for the generalized Laplace equation

O. Kh. Masaeva

Institute of Applied Mathematics and Automation, 360000, Kabardino-Balkarian Republic, Nalchik, st. Shortanova,89a

Abstract: The existence and uniqueness of the solution of the Neumann problem is proved for the generalized Laplace equation with a fractional derivative in the upper half-plane.

Keywords: Neumann problem, Riemann-Liouville operator, integral transformation with Wright function, generalized Laplace equation.

UDC: 517.95

MSC: 35L05

Received: 08.06.2018

DOI: 10.18454/2079-6641-2018-23-3-83-90



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