Existence, Uniqueness and Approximate Controllability of Impulsive Fractional Nonlinear Control System with Nonsingular Kernel

Fadhil Abbas  Naji; Iftichar  Al-sharaa

doi:10.24996/ijs.2022.63.9.25

Existence, Uniqueness and Approximate Controllability of Impulsive Fractional Nonlinear Control System with Nonsingular Kernel

Authors

Fadhil Abbas Naji Department of mathematics, College of Education for Pure Sciences, University of Babylon, Babel, Iraq https://orcid.org/0000-0002-4049-0898
Iftichar Al-sharaa Department of mathematics, College of Education for Pure Sciences, University of Babylon, Babel, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.9.25

Keywords:

Approximate controllability, Fractional derivative, Control system, Nonsingular kernel, Banach fixed point theorem

Abstract

The main aim of this work is to investigate the existence and approximate controllability of mild solutions of impulsive fractional nonlinear control system with a nonsingular kernel in infinite dimensional space. Firstly, we set sufficient conditions to demonstrate the existence and uniqueness of the mild solution of the control system using the Banach fixed point theorem. Further, we prove the approximate controllability of the control system using the sequence method.

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Published

2022-09-30

Issue

Vol 63 No 9 (2022)

Section

Mathematics

How to Cite

Existence, Uniqueness and Approximate Controllability of Impulsive Fractional Nonlinear Control System with Nonsingular Kernel. (2022). Iraqi Journal of Science, 63(9), 3931-3946. https://doi.org/10.24996/ijs.2022.63.9.25