AUTHOR=Wang Haihua , Ku Junhua 

TITLE=Controllability of Hilfer fractional Langevin evolution equations

JOURNAL=Frontiers in Applied Mathematics and Statistics

VOLUME=Volume 9 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/applied-mathematics-and-statistics/articles/10.3389/fams.2023.1191661

DOI=10.3389/fams.2023.1191661

ISSN=2297-4687

ABSTRACT=In this paper, by using the $(\alpha,\beta)$ resolvent operator and three different fixed point theorems, we discuss the control problem for a class of Hilfer fractional Langevin evolution equations. The existence of mild solutions is proved. Finally, an example is also discussed to
illustrated our results.