Abstract
In this paper, we investigate the exact and approximate controllability, finite time stability, and β–Hyers–Ulam–Rassias stability of a fractional order neutral impulsive differential system. The controllability criteria is incorporated with the help of a fixed point approach. The famous generalized Grönwall inequality is used to study the finite time stability and β–Hyers–Ulam–Rassias stability. Finally, the main results are verified with the help of an example.
Funder
National Natural Science Foundation of China
Changzhou Science and Technology Planning Project
Natural Science Foundation of Chongqing
Technology Research Foundation of Chongqing Educational Committee
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis
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