Local and Nonlocal Boundary Value Problems for Degenerating and Nondegenerating Pseudoparabolic Equations with a Riemann–Liouville Fractional Derivative

Abstract

We study local and nonlocal boundary value problems for degenerating and nondegenerating third-order pseudoparabolic equations of the general form with variable coefficients and with a Riemann–Liouville fractional derivative. For their solutions, we obtain a priori estimates that imply the uniqueness of the solution and its stability with respect to the right-hand side and the initial data.