Well-posedness and stability for fuzzy fractional differential equations

Xuping Zhang; Yanli Xi; Donal O’regan

doi:10.15388/namc.2022.27.28096

Well-posedness and stability for fuzzy fractional differential equations

Xuping Zhang
, Yanli Xi
, Donal O’regan

Mathematics

Northwest Normal University China

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this article, we consider the existence and uniqueness of solutions for a class of initial value problems of fuzzy Caputo–Katugampola fractional differential equations and the stability of the corresponding fuzzy fractional differential equations. The discussions are based on the hyperbolic function, the Banach fixed point theorem and an inequality property. Two examples are given to illustrate the feasibility of our theoretical results.

Original language	English
Pages (from-to)	980-993
Number of pages	14
Journal	Nonlinear Analysis: Modelling and Control
Volume	27
Issue number	5
DOIs	https://doi.org/10.15388/namc.2022.27.28096
Publication status	Published - 1 Sep 2022

Keywords

Banach fixed point theorem
fuzzy fractional differential equations
hyperbolic function

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10.15388/namc.2022.27.28096

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AU - O’regan, Donal

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AB - In this article, we consider the existence and uniqueness of solutions for a class of initial value problems of fuzzy Caputo–Katugampola fractional differential equations and the stability of the corresponding fuzzy fractional differential equations. The discussions are based on the hyperbolic function, the Banach fixed point theorem and an inequality property. Two examples are given to illustrate the feasibility of our theoretical results.

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KW - fuzzy fractional differential equations

KW - hyperbolic function

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Well-posedness and stability for fuzzy fractional differential equations

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Keywords

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