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

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