https://doi.org/10.1140/epjs/s11734-022-00486-w
Regular Article
Comparison theorems of tempered fractional differential equations
1
Department of Mathematics, College of Mathematics and Informatics, South China Agricultural University, 510642, Guangzhou, People’s Republic of China
2
School of Mathematical Sciences, Anhui University, 230601, Hefei, People’s Republic of China
3
Institute of Applied Mathematics, Zhejiang University of Finance and Economics, 310018, Hangzhou, People’s Republic of China
4
School of Mathematics and Physics, China University of Geosciences, 430074, Wuhan, People’s Republic of China
Received:
15
October
2021
Accepted:
16
February
2022
Published online:
4
March
2022
In this paper, we study the first comparison theorem and the second comparison theorem of Caputo (and Riemann–Liouville) tempered fractional differential equations with order 
. The detailed proof process is given. At the same time, continuous dependence of the solutions of the equation on the parameter is analyzed, which is used in the previous process of proof. In addition, we give two examples to support the theoretical analysis.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022
