Abstract
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.
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Russian Text © M.Kh. Beshtokov, 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 2, pp. 3–12.
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Beshtokov, M.K. Boundary-Value Problems for Loaded Pseudoparabolic Equations of Fractional Order and Difference Methods of Their Solving. Russ Math. 63, 1–10 (2019). https://doi.org/10.3103/S1066369X19020014
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DOI: https://doi.org/10.3103/S1066369X19020014