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

2017/01/05 by Jean‐Daniel Djida, Djida, J. D, Abdon Atangana +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1701.01479

openalex publication_date 2017/01/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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 \urlhttps://arxiv.org/abs/1610.10073)

Citations

• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

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