Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel
Analysis of PDEs
2017-01-09 v1
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}})
Keywords
Cite
@article{arxiv.1701.01479,
title = {Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel},
author = {J. D Djida and A. Atangana and I. Area},
journal= {arXiv preprint arXiv:1701.01479},
year = {2017}
}
Comments
20 pages