Stability and Stabilization for a Class of Semilinear Fractional Differential Systems. (30th March 2020)

• Record Type: Journal Article
• Authors: Ibrahim, Badawi Hamza Elbadawi; Dong, Qixiang; Zhang, Zhengdi
• Other Names: Leiva Hugo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-03-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/3814902
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This paper considers a class of semilinear fractional-order systems with Caputo derivative. New conditions ensuring asymptotic stability and stabilization of fractional systems with the fractional order between 0 and 2 are proposed. The analysis is based on a property of convolution and asymptotic properties of Mittag-Leffler functions. Some numerical examples are provided to illustrate the feasibility and validity of the proposed approach.