Controllability Results for a Class of Piecewise Nonlinear Impulsive Fractional Dynamic Systems

作者：

Highlights：

• A new class of piecewise nonlinear Langevin fractional dynamic equations with non-instantaneous impulses is investigated

• The total controllability is studied

• A new type of control functions is defined

• The linear and nonlinear cases are considered

• The controllability problem is transformed to the existence of a fixed point task

摘要

•A new class of piecewise nonlinear Langevin fractional dynamic equations with non-instantaneous impulses is investigated•The total controllability is studied•A new type of control functions is defined•The linear and nonlinear cases are considered•The controllability problem is transformed to the existence of a fixed point task

论文关键词：Controllability,Fractional Dynamic Systems,Impulses,Piecewise Systems,93B05,34A08,34A37,37E05

论文评审过程：Received 18 May 2022, Revised 15 July 2022, Accepted 3 October 2022, Available online 17 October 2022, Version of Record 17 October 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127625