Boundary-Value Problems for Loaded Pseudoparabolic Equations of Fractional Order and Difference Methods of Their Solving
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The paper is devoted to local and nonlocal boundary-value problems for a loaded differential equation with variable coefficients and the Gerasimov-Kaputo fractional derivative. To solve the considered problems we obtain a priori estimates in differential and difference interpretations, from which follow the uniqueness and stability of solution with respect to initial data and the right-hand side, as well as convergence of a solution to the difference problem to a solution of the differential problem.
Key wordsboundary-value problems a priori estimate loaded equations equation of pseudoparabolic type differential equation of fractional order Gerasimov-Kaputo fractional derivative
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