Abstract Differential Equations and Caputo Fractional Derivative
Analysis of PDEs
2021-07-28 v1
Abstract
In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order , and discuss the continuity of the respective solutions regarding the parameter . I also present a study about the continuity of the Mittag-Leffler families of operators (for ), induced by sectorial operators.
Cite
@article{arxiv.2107.12528,
title = {Abstract Differential Equations and Caputo Fractional Derivative},
author = {Paulo M. Carvalho-Neto},
journal= {arXiv preprint arXiv:2107.12528},
year = {2021}
}