A. V. Pskhu, “Solution of a two-dimensional Abel integral equation of the second kind”, News of the Kabardin-Balkar scientific center of RAS, 2016, Issue 6,Pages <nobr>75

This article is cited in 1 paper

COMPUTER SCIENCE. MATHEMATICS

Solution of a two-dimensional Abel integral equation of the second kind

A. V. Pskhu

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а

Abstract: In the article we construct an explicit representation for a solution of a linear two-dimensional Abel type integral equation of the second kind with partial fractional integrals. The solution representation is given in terms of the Wright function.

Keywords: Abel integral equation, Riemann-Liouville fractional integral, Wright function.

UDC: 517.968.22

Received: 26.10.2016