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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017 Number 3(19), Pages 20–24 (Mi vkam209)

MATHEMATICS

A priori estimate of the solution of the analogue of the second boundary-value problem for the generalized third-order equation with short characteristics

A. M. Shkhagapsoev

Institute of Applied Mathematics and Automation KBSC RAS

Abstract: We consider the boundary-value problem for a third-order equation of parabolic type with the fractional derivative of Caputo. By the method of energy inequalities an a priori estimate of the solution of the analogue of the second boundary value problem for an equation with multiple characteristics.

Keywords: A priori estimate of the boundary-value problems, equations with multiple characteristics, method of energy integrals, Caputo Fractional derivative.

UDC: 517.954

MSC: 35M13

Received: 20.09.2017

DOI: 10.18454/2079-6641-2017-19-3-20-24



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