Approximate controllability of fractional delay evolution inclusions with noncompact semigroups. (3rd March 2020)

• Record Type: Journal Article
• Authors: Xiang, Qiao-Min; Zhu, Peng-Xian
• Is Part Of: Optimization. Volume 69:Number 3(2020)
• Page Start: 553
• Page End: 574
• Publication Date: 2020-03-03
• Subjects: Approximate controllability -- fractional evolution inclusion -- delay -- nonlocal condition; Primary 35R11 -- Secondary 34K09 -- 34K35; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1625350
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: This paper is devoted to investigate the control systems governed by nonlinear fractional delay evolution inclusions (FDEIs) with noncompact semigroups. Under suitable assumptions, sufficient conditions for approximate controllability of FDEIs are established. The approximate controllability results are further extended to FDEIs with nonlocal conditions, where the compactness or Lipschitz continuity on the nonlocal functions is not required. Finally, two examples are given to illustrate the effectiveness of our conclusions.