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

By T. Ke, Nguyen Nhu Thang, Lâm Trần Phương Thủy. Journal of Mathematical Analysis and Applications, 2018

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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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/fb0cb2f0653d229477eae113dda38a605c7da75f