Approximate controllability of fractional evolution inclusions with damping. (July 2021)

• Record Type: Journal Article
• Authors: Li, Xuemei; Liu, Xinge; Tang, Meilan
• Is Part Of: Chaos, solitons and fractals. Volume 148(2021)
• Publication Date: 2021-07
• Subjects: Approximate controllability -- Fractional evolution inclusions -- Regularized resolvent family -- Fixed point theorem; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111073
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: The approximate controllability of fractional evolution inclusions with damping is studied in this paper. Under a compactness assumption on the ( α, μ ) − regularized resolvent families of operators, some properties of operators associated with the regularized family are given. Next, the existence results of the system are obtained by nonlinear alternative of Leray-Schauder and Covitz and Nadler's fixed point theorem. Furthermore, we obtain a new set of sufficient conditions for the approximate controllability of fractional evolution inclusions. Finally, examples are provided to illustrate the obtained results.