Abstract
This article demonstrates the existence as well as the approximate controllability of semilinear fractional control systems governed by the μ∈(1,2)-order Riemann-Liouville fractional evolution equation with weighted time delay. Firstly, properties of the cosine family and the corresponding sine family are proved. Then an existence result is achieved for the concerned problem by utilizing fixed point theorem approach. The approximate controllability is also studied under essential conditions. Finally, we propose an example of the obtained abstract result.
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.
