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Russian Mathematics

, Volume 63, Issue 2, pp 1–10 | Cite as

Boundary-Value Problems for Loaded Pseudoparabolic Equations of Fractional Order and Difference Methods of Their Solving

  • M. Kh. BeshtokovEmail author
Article
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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.

Key words

boundary-value problems a priori estimate loaded equations equation of pseudoparabolic type differential equation of fractional order Gerasimov-Kaputo fractional derivative 

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© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Institite of applied mathematics and automation KBSC RASNalchikRussia

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