Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem

Authors

Naseif Jasim AL-Jawari, Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Follow

Abstract

In this paper, a fixed point theorem of nonexpansive mapping is established to study the existence and sufficient conditions for the controllability of nonlinear fractional control systems in reflexive Banach spaces. The result so obtained have been modified and developed in arbitrary space having Opial’s condition by using fixed point theorem deals with nonexpansive mapping defined on a set has normal structure. An application is provided to show the effectiveness of the obtained result.

Keywords

Controllability, Fixed point, Fractional control system, Normal structure, Opial’s condition.

Article Type

Article

How to Cite this Article

AL-Jawari, Naseif Jasim (2020) "Existence And Controllability Results For Fractional Control Systems In Reflexive Banach Spaces Using Fixed Point Theorem," Baghdad Science Journal: Vol. 17: Iss. 4, Article 18.
DOI: https://doi.org/10.21123/bsj.2020.17.4.1283