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arXiv · 1811.01244

Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces

Tran Dinh Ke·Nguyen Nhu Thang·Lam Tran Phuong Thuy
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Abstract

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.

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Tran Dinh Ke, Nguyen Nhu Thang, Lam Tran Phuong Thuy. 2018-11-03. Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces. https://arxiv.org/abs/1811.01244

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