On Caputo-Hadamard uncertain fractional differential equations

Yiyu Liu, Yuanguo Zhu and Ziqiang Lu

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: The tool of uncertain fractional differential equations (UFDEs) is devoted to describing the behavior of complex systems with memory effects in the uncertain environment. In this paper, we mainly investigate the Caputo-Hadamard UFDEs. First, the definition of Caputo-Hadamard UFDE is proposed and the analytical solution to a linear Caputo-Hadamard UFDE is provided. Then, an existence and uniqueness theorem of solution to Caputo-Hadamard UFDE is studied.

Keywords: Uncertainty theory; Fractional differential equation; Caputo-Hadamard; Existence and uniqueness (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002472

DOI: 10.1016/j.chaos.2021.110894

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