Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions. (1st December 2020)

• Record Type: Journal Article
• Authors: Chen, Xingru; Gu, Haibo; Sun, Yu
• Other Names: Atangana Abdon Guest Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-12-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/3142801
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice.