Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays

Xue Wang, Danfeng Luo and Quanxin Zhu

Chaos, Solitons & Fractals, 2022, vol. 156, issue C

Abstract: This paper is concerned with the Ulam-Hyers stability (UHs) of Caputo type fuzzy fractional differential equations (FFDEs) with time-delays. By applying Schauder’s fixed point theorem and a hypothetical condition, we explore the existence of the solutions. In addition, by using Banach contraction principle, we show the uniqueness of the solution of the system. What is more, we consider the UHs with aid of generalized Gro¨nwall inequality. Finally, an example with numerical simulation is provided to visualize the theoretical results.

Keywords: Fractional calculus; Fuzzy differential equations; Existence; Uniqueness; Ulam-Hyers stability (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000339

DOI: 10.1016/j.chaos.2022.111822

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