On a new class of fractional partial differential equations
Analysis of PDEs
2016-09-05 v2
Abstract
In this paper, we study a new class of fractional partial differential equations which are obtained by minimizing variational problems in fractional Sobolev spaces. We introduce a notion of fractional gradient which has the potential to extend many classical results in the Sobolev spaces to the nonlocal and fractional setting in a natural way.
Keywords
Cite
@article{arxiv.1403.7942,
title = {On a new class of fractional partial differential equations},
author = {Tien-Tsan Shieh and Daniel Spector},
journal= {arXiv preprint arXiv:1403.7942},
year = {2016}
}
Comments
26 pages, revised from first version