Abstract

The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving existence and uniqueness of the solutions in the abstract setting of Hilbert spaces.

中文翻译：

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时间分数伪抛物线方程的正反问题

摘要

本文的目的是建立具有自伴随算子的时间分数伪抛物线方程的正问题和反问题的可解性结果。我们对证明希尔伯特空间抽象设置中解的存在性和唯一性特别感兴趣。