Nonlinear impulsive problems for uncertain fractional differential equations

Ziqiang Lu and Yuanguo Zhu

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: This paper deals with the impulsive problem for uncertain fractional dynamical system. Firstly, the concept of uncertain fractional impulsive problem involving the Caputo derivative is introduced and the analytic solutions to several linear uncertain fractional impulsive problems are derived with the help of the Mittag-Leffler functions. Then the existence and uniqueness theorems are developed via the Kuratowski measure of noncompactness and fixed point theorems, respectively. Finally, an illustrative example is provided to explain our main results.

Keywords: Uncertainty theory; Caputo fractional derivative; Uncertain fractional impulsive problem; Existence and uniqueness (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001680

DOI: 10.1016/j.chaos.2022.111958

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