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A nondivergence parabolic problem with a fractional time derivative. (English) Zbl 1449.35428

The author considers a nonlocal nonlinear parabolic problem with a fractional time derivative. A Krylov-Safonov type result is proved. In particular, a Hölder regularity of solutions is shown. The estimates given in the article remain uniform as the order of the fractional time derivative \(\alpha\to 1\).

MSC:

35R11 Fractional partial differential equations
35K55 Nonlinear parabolic equations
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