This article is cited in 1 paper

MATHEMATICS

Inner boundary value problem for fractional diffusion equation

F. M. Losanova

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper, we prove the existence and uniqueness theorem for a nonlocal boundary value problem for the fractional diffusion equation with boundary conditions presented in the form of linear combinations.

Keywords: fractional diffusion equation, Caputo operator, inner boundary value problem, Green's function, local displacement.

UDC: 517.9

DOI: 10.47928/1726-9946-2020-20-3-14-18

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