Affiliations: [a] College of Science, Guilin University of Technology, Guilin, Guangxi, P.R. China | [b] Business School, Guilin University of Technology, Guilin, Guangxi, P.R. China
Correspondence:
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Corresponding author. Jianwei Qiu, Business School, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China. E-mail: [email protected].
Note: [1] This work was supported by the National Natural Science Foundation of China (12161028), Guangxi Science and Technology Base Foundation(GuikeAD20159017), Natural Science Foundation of Guangxi Province (2018GXNSFAA281021), the Key Research Institute of Philosophies and Social Sciences in Guangxi Universities(19YB003) and the Foundation of Guilin University of Technology (GUTQDJJ2017062).
Abstract: In this article, we explore the question of existence and finite time stability for fuzzy Hilfer-Katugampola fractional delay differential equations. By using the generalized Gronwall inequality and Schauder’s fixed point theorem, we establish existence of the solution, and the finite time stability for the presented problems. Finally, the effectiveness of the theoretical result is shown through verification and simulations for an example.
Keywords: Finite time stability, fuzzy Hilfer-Katugampola fractional differential equations, delay
