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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 2, Pages 266–282
DOI: https://doi.org/10.33048/smzh.2020.61.203 (Mi smj5980) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Fractional integral inequalities and their applications to degenerate differential equations with the caputo fractional derivative

A. N. Artyushin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (438 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2020.61.203
Abstract: We provide some new integral inequalities with the Caputo fractional derivative and consider degenerate ODEs with the Caputo derivative and a fractional diffusion equation as application. Also, we prove the existence and uniqueness theorems of generalized solutions under certain conditions.
Keywords: fractional derivative, degenerate equation, integral inequality.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41009_Узб_т
The author was supported by the Russian Foundation for Basic Research (Grant 18-51-41009).

Revised: 11.06.2019
Accepted: 25.12.2019
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 2, Pages 208–221
DOI: https://doi.org/10.1134/S0037446620020032
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35R30
Language: Russian
Citation: A. N. Artyushin, “Fractional integral inequalities and their applications to degenerate differential equations with the caputo fractional derivative”, Sibirsk. Mat. Zh., 61:2 (2020), 266–282; Siberian Math. J., 61:2 (2020), 208–221
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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