We prove two maximal regularity results in spaces of continuous and Hölder continuous functions, for a linear Cauchy-Dirichlet problem with a fractional time derivative Dαt. This derivative is intended in the sense of Caputo and αis taken in (0, 2). In case α =1, we obtain maximal regularity results for parabolic problems already known in mathematical literature.
Guidetti, D. (2019). On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 476(2), 637-664 [10.1016/j.jmaa.2019.04.004].
On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative
Guidetti, D.
2019
Abstract
We prove two maximal regularity results in spaces of continuous and Hölder continuous functions, for a linear Cauchy-Dirichlet problem with a fractional time derivative Dαt. This derivative is intended in the sense of Caputo and αis taken in (0, 2). In case α =1, we obtain maximal regularity results for parabolic problems already known in mathematical literature.File in questo prodotto:
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