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

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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… Click to show full 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.

Keywords: semilinear nonlocal; equations hilbert; hilbert spaces; differential equations; class semilinear; nonlocal differential

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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