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arXiv · 1701.01479

Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel

J. D Djida·A. Atangana·I. Area
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Abstract

We prove Hölder regularity results for a class of nonlinear parabolic problem with fractional-time derivative with nonlocal and Mittag-Leffler nonsingular kernel. Existence of weak solutions via approximating solutions is proved. Moreover, the Hölder continuity of viscosity solutions is obtained. We get the similar results as those obtained by Allen (see {\url{https://arxiv.org/abs/1610.10073}})

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J. D Djida, A. Atangana, I. Area. 2017-01-05. Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. https://arxiv.org/abs/1701.01479

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