ABSTRACT

This paper analyzes nonlocal boundary value problems for fractional-order pseudo-parabolic equations with the Bessel operator with variable coefficients and difference methods for their solutions. To solve the considered problems, a priori estimates in differential and difference interpretations are obtained, which implies uniqueness and stability of solution 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 corresponding differential problem.

中文翻译：

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利用贝塞尔算子解分数阶伪抛物方程非局部边值问题的差分方法

摘要

本文利用变系数贝塞尔算子和分数差分法求解分数阶伪抛物方程的非局部边值问题。为了解决所考虑的问题，获得了差分和差分解释的先验估计，这暗示了初始数据和右侧解的唯一性和稳定性，以及差分问题解的收敛性。相应的微分问题的解决方案。