Affiliations: [a] School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P.R. China | [b] Department of Public Basic Courses, Nanjing Vocational University of Industry Technology, Nanjing, Jiangsu, P.R. China
Correspondence:
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Corresponding author. Yuanguo Zhu, School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, P.R. China. E-mail: [email protected].
Abstract: Uncertain fractional differential equation driven by Liu process plays an important role in describing uncertain dynamic systems. This paper investigates the continuous dependence of solution on the parameters and initial values, respectively, for uncertain fractional differential equations involving the Caputo fractional derivative in measure sense. Several continuous dependence theorems are obtained based on uncertainty theory by employing the generalized Gronwall inequality, in which the coefficients of uncertain fractional differential equation are required to satisfy the Lipschitz conditions. Several illustrative examples are provided to verify the validity of the obtained results.
