This article is cited in 1 paper

Mathematics

On a problem with generalized operators of fractional differentiation for a degenerated inside a domain hyperbolic equation

O. A. Repin^a, S. K. Kumykova<sup>b

a</sup> Dept. of Mathematical Statistics and Econometrics, Samara State University of Economics, Samara, 443090, Russian Federation
^b Dept. of Function Theory and Functional Analysis, Kabardino-Balkarian State University, Nalchik, 360004, Russian Federation

Abstract: In this paper, we consider a problem with Saigo operators of fractional differentiation in a boundary condition on a characteristic part of a boundary. The unique solvability of this problem is proved.

Keywords: integral and derivative of Riemann–Liouville fractional order, integral equations of Fredholm, Gauss hypergeometric function, kernel resolvent.

UDC: 517.956.6

Received: 03.09.2012
Revised: 03.09.2012