论带有莱维跳跃的随机分数微分变分不等式一般系统

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-03 DOI:10.1016/j.cnsns.2024.108373

Lu-Chuan Ceng , X.Z. Huan , Yunshui Liang , Jen-Chih Yao

{"title":"论带有莱维跳跃的随机分数微分变分不等式一般系统","authors":"Lu-Chuan Ceng , X.Z. Huan , Yunshui Liang , Jen-Chih Yao","doi":"10.1016/j.cnsns.2024.108373","DOIUrl":null,"url":null,"abstract":"<div><div>This paper is focused on investigating a stochastic fractional differential variational inequalities general system possessing Lévy jumps (SFDVIGS possessing Lévy jumps), which consists of two systems, i.e., a stochastic variational inequalities general system (SVIGS) and a stochastic fractional differential equations general system (SFDEGS) possessing Lévy jumps. Applying Picard successively iterative technique and the projection method, we derive the unique existence of solutions to SFDVIGS possessing Lévy jumps under certain mild assumptions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On stochastic fractional differential variational inequalities general system with Lévy jumps\",\"authors\":\"Lu-Chuan Ceng , X.Z. Huan , Yunshui Liang , Jen-Chih Yao\",\"doi\":\"10.1016/j.cnsns.2024.108373\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper is focused on investigating a stochastic fractional differential variational inequalities general system possessing Lévy jumps (SFDVIGS possessing Lévy jumps), which consists of two systems, i.e., a stochastic variational inequalities general system (SVIGS) and a stochastic fractional differential equations general system (SFDEGS) possessing Lévy jumps. Applying Picard successively iterative technique and the projection method, we derive the unique existence of solutions to SFDVIGS possessing Lévy jumps under certain mild assumptions.</div></div>\",\"PeriodicalId\":50658,\"journal\":{\"name\":\"Communications in Nonlinear Science and Numerical Simulation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-10-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Nonlinear Science and Numerical Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1007570424005586\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Nonlinear Science and Numerical Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1007570424005586","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

本文主要研究一个具有李维跳跃的随机分数微分变分不等式一般系统（SFDVIGS），它由两个系统组成，即一个随机变分不等式一般系统（SVIGS）和一个具有李维跳跃的随机分数微分方程一般系统（SFDEGS）。应用 Picard 连续迭代技术和投影法，我们推导出在某些温和的假设条件下，具有 Lévy 跳变的 SFDVIGS 解的唯一存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On stochastic fractional differential variational inequalities general system with Lévy jumps

This paper is focused on investigating a stochastic fractional differential variational inequalities general system possessing Lévy jumps (SFDVIGS possessing Lévy jumps), which consists of two systems, i.e., a stochastic variational inequalities general system (SVIGS) and a stochastic fractional differential equations general system (SFDEGS) possessing Lévy jumps. Applying Picard successively iterative technique and the projection method, we derive the unique existence of solutions to SFDVIGS possessing Lévy jumps under certain mild assumptions.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.