Continuity of solutions of a class of fractional equations
Analysis of PDEs
2016-11-14 v1 Mathematical Physics
Functional Analysis
math.MP
Probability
Spectral Theory
Abstract
In practice many problems related to space/time fractional equations depend on fractional parameters. But these fractional parameters are not known a priori in modelling problems. Hence continuity of the solutions with respect to these parameters is important for modelling purposes. In this paper we will study the continuity of the solutions of a class of equations including the Abel equations of the first and second kind, and time fractional diffusion type equations. We consider continuity with respect to the fractional parameters as well as the initial value.
Keywords
Cite
@article{arxiv.1611.03581,
title = {Continuity of solutions of a class of fractional equations},
author = {Duc Trong Dang and Erkan Nane and Dang Minh Nguyen and Nguyen Huy Tuan},
journal= {arXiv preprint arXiv:1611.03581},
year = {2016}
}
Comments
56 pages, Submitted for publication