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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 1(22), Pages 93–98
DOI: https://doi.org/10.14498/vsgtu959
(Mi vsgtu959)
 

This article is cited in 1 scientific paper (total in 1 paper)

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

The solution of the full matrix analogue of the generalized Abel equation with constant coefficients

R. R. Ismagiliva

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
Full-text PDF (515 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The system of generalized integral Abel equations in the matrix form with constant coefficients on the segment. Was considered at the terms of the integral Riemann–Liouville operators of matrix order. It's reduction to the system of singular integral equations was founded. Solution of this system was found for the case of the commutative matrices of the simple structure in the explicit form.
Keywords: fractional calculus, functions of matrix argument, integro-differential operators matrix order, system of generalized Abel integral equation.
Original article submitted 20/XII/2010
revision submitted – 27/II/2011
Bibliographic databases:
Document Type: Article
UDC: 517.968.78
MSC: 47G20, 26A33
Language: Russian
Citation: R. R. Ismagiliva, “The solution of the full matrix analogue of the generalized Abel equation with constant coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 93–98
Citation in format AMSBIB
\Bibitem{Ism11}
\by R.~R.~Ismagiliva
\paper The solution of the full matrix analogue of the generalized Abel equation with constant coefficients
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 93--98
\mathnet{http://mi.mathnet.ru/vsgtu959}
\crossref{https://doi.org/10.14498/vsgtu959}
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  • https://www.mathnet.ru/eng/vsgtu/v122/p93
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:629
    Full-text PDF :236
    References:120
    First page:1
     
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