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.