Abstract:
This paper deals with the to boundary value problems for pseudoparabolic equations of fractional order
with the Bessel operator with variable coefficients with non-local boundary conditions of the integral type and
difference methods for their solutions. To solve the considered problems a priori estimates in differential and
difference interpretations are obtained, which means the uniqueness and stability of solutions by initial data
and the right-hand side, as well as the convergence of the solution of the difference problem to the solution of
the corresponding differential problem.
Key words:Non-local boundary value problem, a priori estimate, difference scheme, equation of pseudoparabolic type, differential equation of fractional order, Gerasimov–Caputo fractional derivative.
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