On the stability for implicit uncertain fractional integral equations with fuzzy concept

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-02-01 DOI:10.22111/IJFS.2021.5882

N. Hoa

引用次数: 4

Abstract

This paper aims to establish the existence and uniqueness results for two kinds of implicit uncertain fractional integral equations with the fuzzy concept via the fixed point theorem and successive approximation method. Besides, we also present various Ulam-Hyers stability and Ulam-Hyers-Rassias stability results of two kinds of implicit fuzzy fractional integral equations. Finally, some examples are given to illustrate our main results.

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模糊概念隐式不确定分数阶积分方程的稳定性

本文旨在利用不动点定理和逐次逼近法，建立两类具有模糊概念的隐式不确定分数阶积分方程的存在唯一性结果。此外，我们还给出了两类隐式模糊分数阶积分方程的各种Ulam-Hyers稳定性和Ulam-Hyers- rassias稳定性结果。最后，给出了一些算例来说明我们的主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.