(2010-6217) Solvability of fuzzy fractional stochastic Pantograph differential system

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-08-13 DOI:10.22111/IJFS.2021.6280

J. Priyadharsini, P. Balasubramaniam

引用次数: 4

Abstract

In this paper, a new type of equation namely fuzzy fractional stochastic Pantograph delay differential system (FSPDDS) is proposed. In our previous work, a first extension of fuzzy stochastic differential system into fuzzy fractional stochasticdifferential system by using Granular differentiability has been established. Here we study the existence and uniqueness results for the fuzzy FSPDDS which are obtained by using generalized Granular differentiability and contraction principlewith weaker conditions. This kind of equation is used in many real world problems. Finally, we provide two numerical examples for the effectiveness of the theoretical results.

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(2010-6217)模糊分数阶随机受电弓微分系统的可解性

本文提出了一类新的方程，即模糊分数阶随机受电弓延迟微分系统。在我们之前的工作中，我们首次利用颗粒可微性将模糊随机微分系统推广为模糊分数阶随机微分系统。本文研究了在较弱条件下利用广义颗粒可微性和收缩原理得到的模糊FSPDDS的存在唯一性结果。这种方程用于许多现实问题中。最后，通过两个数值算例验证了理论结果的有效性。

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 Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.