Abstract
We discuss the approximate controllability of nonlinear fractional integro-differential system under the assumptions that the corresponding linear system is approximately controllable. Using the fixed-point technique, fractional calculus and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional integro-differential equations are formulated and proved. The results in this paper are generalization and continuation of the recent results on this issue. An example is provided to show the application of our result.
Highlights
Controllability is one of the fundamental concepts in mathematical control theory, which plays an important role in control systems
The controllability of nonlinear systems represented by evolution equations or inclusions in abstract spaces and qualitative theory of fractional differential equations has been extensively studied by several authors
A pioneering work on the approximate controllability of deterministic and stochastic systems has been reported by Bashirov and Mahmudov [ ], Dauer and Mahmudov [ ] and Mahmudov [ ]
Summary
Controllability is one of the fundamental concepts in mathematical control theory, which plays an important role in control systems. The approximate controllability for various kinds of (fractional) differential equations has generated considerable interest. There exists only a limited number of papers on the approximate controllability of the fractional nonlinear evolution systems.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
