Some uncertain differential mean value theorems and stability analysis

Article type: Research Article

Authors: Chen, Wei^{; *} | Li, Dandan

Affiliations: School of Information, Capital University of Economics and Business, Beijing, China

Correspondence: [*] Corresponding author. Wei Chen, School of Information, Capital University of Economics and Business, Beijing, China. E-mail: chenwei@cueb.edu.cn.

Abstract: This paper discusses differential mean value theorems based on uncertainty differential equation. Firstly, we propose some uncertain differential mean value theorems driven by canonical process, in which finite interval and infinite interval cases are considered respectively. Then the stability for uncertain differential mean value theorem is discussed under the Lipschitz conditions. Finally, some examples are given.

Keywords: Mean value theorems, uncertain differential equation, canonical process, stability

DOI: 10.3233/JIFS-171399

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 4, pp. 2343-2350, 2018