This article is cited in 4 papers

Mathematics

The Dirichlet problem for the generalized Laplace equation with fractional derivative

O. Kh. Masaeva

Institute of Applied Mathematics and Automation of Kabardino-Balkar Scientific Center of RAS (IAMA KBSC RAS), Nalchik, Russia

Abstract: In the paper the Dirichlet problem for the generalized Laplace equation with fractional Riemann — Liouville derivative with respect to one of the two independent variables in the upper half-plane is investigated. The representation of the solution is found by the method of integral transformation with the Wright function in the core and the uniqueness theorem for the solution of the problem is proved by the method abc.

Keywords: Riemann — Liouville fractional derivative, Wright function, generalized Laplace equation with fractional derivative, Dirichlet boundary value problem.

Received: 09.10.2017
Revised: 19.10.2017

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