This article is cited in 2 papers

The Samarskii Problem for the Fractal Diffusion Equation

Z. A. Nakhusheva

Scientific Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Centre of the Russian Academy of Sciences, Nalchik

Abstract: We prove the existence and uniqueness of the solution of the Samarskii problem in a modified setting for a loaded differential fractal diffusion equation and propose a constructive scheme for the equivalent reduction of this nonlocal boundary-value problem to the corresponding local problem.

Keywords: fractal diffusion equation, Samarskii problem for the diffusion equation, Riemann–Liouville differential operator, Euler gamma function.

UDC: 517.95

Received: 23.04.2013
Revised: 10.07.2013

DOI: 10.4213/mzm10457

 English version: Mathematical Notes, 2014, 95:6, 815–819

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