EXACT CONTROLLABILITY OF FRACTIONAL IMPULSIVE SYSTEM

Vishant Shah     (Department of Mathematics, Marwadi University, Rajkot-360003, Gujarat, India)
Neetu Sharma     (Department of Applied Mathematics, Faculty of Technology & Engineering, M. S. University of Baroda, Vadodara, India)
Gargi Trivedi     (Department of Applied Mathematics, Faculty of Technology & Engineering, M. S. University of Baroda, Vadodara, India)
Jaita Sharma     (Department of Applied Mathematics, Faculty of Technology & Engineering, M. S. University of Baroda, Vadodara, India)
Vimalkumar Vaghela     (Government Engineering College, Gandhinagar, Gujarat, India)

Abstract


This paper discusses the exact controllability of linear and nonlinear impulsive Caputo fractional systems. The exact controllability of a linear impulsive system is studied using the concept of generators and functional analysis. In contrast, the controllability of a nonlinear system is discussed using nonlinear functional analysis. An example is provided in the paper to support the results.


Keywords


Fractional system, Exact controllability, Functional analysis, Fixed-point theorem

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References


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DOI: http://dx.doi.org/10.15826/umj.2025.2.015

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