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Matematicheskie Zametki, 2022, Volume 112, Issue 2, Pages 218–226
DOI: https://doi.org/10.4213/mzm13184 (Mi mzm13184) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative

B. Yu. Irgashevab

a Namangan Engineering – Building Institute
b Romanovskii Mathematical Institute, Academy of Sciences of the Republic of Uzbekistan
Full-text PDF (476 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13184
Abstract: A problem for an equation of high even order involving a Caputo fractional derivative in a rectangular domain with conjugation conditions is studied. A criterion for the uniqueness of the solution is given. The solution is constructed in the form of a Fourier series in eigenfunctions of a one-dimensional problem.
Keywords: even-order equation, Caputo fractional derivative, discontinuous coefficient, conjugation conditions, eigenvalue, eigenfunction, Fourier series.
Received: 15.06.2021
Revised: 08.02.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 2, Pages 215–222
DOI: https://doi.org/10.1134/S0001434622070252
Bibliographic databases:
Document Type: Article
UDC: 517.954+517.927.25+517.589
Language: Russian
Citation: B. Yu. Irgashev, “On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative”, Mat. Zametki, 112:2 (2022), 218–226; Math. Notes, 112:2 (2022), 215–222
Citation in format AMSBIB
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\by B.~Yu.~Irgashev
\paper On a Problem with Conjugation Conditions for an Equation of Even Order Involving a Caputo Fractional Derivative
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 2
\pages 218--226
\mathnet{http://mi.mathnet.ru/mzm13184}
\crossref{https://doi.org/10.4213/mzm13184}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4399843}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 2
\pages 215--222
\crossref{https://doi.org/10.1134/S0001434622070252}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136635625}
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  • https://doi.org/10.4213/mzm13184
  • https://www.mathnet.ru/eng/mzm/v112/i2/p218
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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