Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces
https://doi.org/10.1016/j.jmaa.2019.123655Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is a general model for some anomalous diffusion equations. By using the theory of integral equations with completely positive kernel together with local estimates, some existence, regularity and stability results are established. An application to nonlocal partial differential equations is shown to demonstrate our abstract results.
Tags: nonlocal differential equation; weak solution; mild solution; regularity; asymptotic stability
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