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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, 2010, Issue 5(21), Pages 237–243
DOI: https://doi.org/10.14498/vsgtu831 (Mi vsgtu831) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Analysis

Properties of Inversion Operator of the Abel Matrix Equation

R. R. Ismagiliva

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
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DOI: https://doi.org/10.14498/vsgtu831
Abstract: Generalization of integral-differential Riemann–Liouville operator on the matrix order is reviewed and its properties are studied. Theorem of the composition of operators of the matrix of integration and differentiation can be proved. The necessary and sufficient conditions for the unique solvability of the matrix Abel equation in a special class of functions are obtained.
Keywords: fractional calculus, integro-differential operator of Riemann–Liouville, functions of matrices, matrix operator, system of Abel integral equations.
Original article submitted 20/VII/2010
revision submitted – 27/IX/2010
Bibliographic databases:
Document Type: Article
UDC: 517.968.78
MSC: 47G20, 26A33
Language: Russian
Citation: R. R. Ismagiliva, “Properties of Inversion Operator of the Abel Matrix Equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 237–243
Citation in format AMSBIB
\Bibitem{Ism10}
\by R.~R.~Ismagiliva
\paper Properties of Inversion Operator of the Abel Matrix Equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 5(21)
\pages 237--243
\mathnet{http://mi.mathnet.ru/vsgtu831}
\crossref{https://doi.org/10.14498/vsgtu831}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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