Stability Results for a Class of Fractional Itô–Doob Stochastic Integral Equations

IF 1.7 4区工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Complexity Pub Date : 2024-04-23 DOI:10.1155/2024/6784122

Omar Kahouli, Ali Aloui, Lassaad Mchiri, Abdellatif Ben Makhlouf

引用次数: 0

Abstract

In this paper, we study the Hyers–Ulam stability of Hadamard fractional Itô–Doob stochastic integral equations by using the Banach fixed point method and some mathematical inequalities. Finally, we exhibit three theoretical examples to apply our theory.

查看原文本刊更多论文

一类分数 Itô-Doob 随机积分方程的稳定性结果

本文利用巴拿赫定点法和一些数学不等式研究了 Hadamard 分式 Itô-Doob 随机积分方程的 Hyers-Ulam 稳定性。最后，我们列举了三个理论实例来应用我们的理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Complexity 综合性期刊-数学跨学科应用

CiteScore

5.80

自引率

4.30%

发文量

595

审稿时长

>12 weeks

期刊介绍： Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.