RUS  ENG
Full version
JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011 Issue 1(22), Pages 93–98 (Mi vsgtu959)

This article is cited 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

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.

UDC: 517.968.78

MSC: 47G20, 26A33

Original article submitted 20/XII/2010
revision submitted – 27/II/2011

DOI: 10.14498/vsgtu959



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024