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
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.