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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu959 https://www.mathnet.ru/eng/vsgtu/v122/p93
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