This article is cited in 4 papers

COMPUTER SCIENCE. MATHEMATICS

A priori estimates of solutions of boundary value problems for the generalized third-order equation with multiple characteristics

A. M. Shkhagapsoev

Institute of Applied Mathematics and Automation 360000, КBR, Nalchik, Shortanov street, 89-a

Abstract: Boundary value problems for third-order equation of parabolic type with Caputo fractional derivative are considered. A priori estimates of the solution of the analogue of the first, second and nonlocal boundary value problems for equations with multiple characteristics are obtained by the method of energy inequalities.

Keywords: a priori estimate of the boundary-value problems; equations with multiple characteristics; method of energy integral; fractional derivative according to Caputo.

UDC: 517.954

Received: 03.11.2016