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Matematicheskie Zametki, 2014, Volume 95, Issue 6, Pages 878–883
DOI: https://doi.org/10.4213/mzm10457 (Mi mzm10457) 		 
This article is cited in 2 scientific papers (total 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
Full-text PDF (345 kB) Citations (2) English version article
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DOI: https://doi.org/10.4213/mzm10457
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.
Received: 23.04.2013
Revised: 10.07.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 6, Pages 815–819
DOI: https://doi.org/10.1134/S0001434614050265
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Z. A. Nakhusheva, “The Samarskii Problem for the Fractal Diffusion Equation”, Mat. Zametki, 95:6 (2014), 878–883; Math. Notes, 95:6 (2014), 815–819
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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