A Tempered Gronwall Inequality and Its Application in Tempered Fractional Order System. Issue 4 (April 2021)

• Record Type: Journal Article
• Authors: Tang, Yurong; Ma, Nuri
• Is Part Of: Journal of physics. Volume 1865:Issue 4(2021)
• Publication Date: 2021-04
• Subjects: Gronwall inequality -- tempered -- fractional order -- system; Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/1865/4/042090
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: Gronwall inequalities are widely used in analytical science, especially in ordinary or fractional differential systems. In this paper, a tempered Gronwall inequality is proposed and applied to tempered fractional system. By the tempered Gronwall inequality, dependences of the solution of tempered fractional systems on initial value, fractional order and tempered parameter are obtained. Finally, a new tempered fractional chaotic system is proposed to show the validity of the dependences.