Approximate controllability of fractional evolution inclusions with damping

Xuemei Li, Xinge Liu and Meilan Tang

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

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.

Keywords: Approximate controllability; Fractional evolution inclusions; Regularized resolvent family; Fixed point theorem (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077921004276
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004276

DOI: 10.1016/j.chaos.2021.111073

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().