Approximate Controllability for Mixed Type Non-autonomous Fractional Differential Equations

被引：0
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作者：
Bo Zhu
Baoyan Han
机构：
[1] Shandong University of Finance and Economics,School of Statistics and Mathematics
[2] Shandong University of Art and Design,Common Course Teaching Department
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Mixed type non-autonomous fractional differential equations; Approximate controllability; resolvent; Mild solution; 34G20; 34K35; 93C10;
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摘要：
In this paper, we discuss the approximate controllability for mixed type non-autonomous fractional differential equations. By using the Schauder fixed point theorem and two parameters β-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta -$$\end{document}resolvent family, we prove the approximate controllability of the control system. Last of all, the application of our main results is given.
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