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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 H\"older 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 H\"{o}lder 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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