Email this article Numerical Analysis of Initial-Boundary Value Problem for a Sobolev-Type Equation with a Fractional-Order Time Derivative
- Authors: Beshtokov M.K.1
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Affiliations:
- Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences
- Issue: Vol 59, No 2 (2019)
- Pages: 175-192
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180380
- DOI: https://doi.org/10.1134/S0965542519020052
- ID: 180380
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Abstract
The paper is concerned with initial-boundary value problems for a Sobolev-type equation with a Gerasimov–Caputo fractional derivative with memory effect. A priori estimates of the solutions are obtained in the differential and difference forms, which imply their uniqueness and stability with respect to the initial data and the right-hand side, as well as the convergence of the solution of the difference problem to the solution of the differential problem.
About the authors
M. Kh. Beshtokov
Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center,Russian Academy of Sciences
Author for correspondence.
Email: beshtokov-murat@yandex.ru
Russian Federation, Nalchik, Kabardino-Balkarian Republic, 360004
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