分数阶Bagley-Torvik微分方程的存在唯一性新结果

IF 0.9 4区数学 Q1 Mathematics

Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI:10.18514/mmn.2022.3702

H. Baghani, Michal Feckan, Javad Farokhi-ostad, J. Alzabut

{"title":"分数阶Bagley-Torvik微分方程的存在唯一性新结果","authors":"H. Baghani, Michal Feckan, Javad Farokhi-ostad, J. Alzabut","doi":"10.18514/mmn.2022.3702","DOIUrl":null,"url":null,"abstract":"Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish new existence and uniqueness result for a type of fractional Bagley–Torvik differential equation. Reported result not only generalizes previous results but also adopts different technique. We finish this study by concluding remarks which discuss the preference of our theorem compared to previous results. An example is constructed with specific parameters that requires weaker conditions for the existence of a unique solution. Meanwhile, we construct an iterative sequence that converges to the unique solution and can not be commented via the results of Fazli and Nieto.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New existence and uniqueness result for fractional Bagley-Torvik differential equation\",\"authors\":\"H. Baghani, Michal Feckan, Javad Farokhi-ostad, J. Alzabut\",\"doi\":\"10.18514/mmn.2022.3702\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish new existence and uniqueness result for a type of fractional Bagley–Torvik differential equation. Reported result not only generalizes previous results but also adopts different technique. We finish this study by concluding remarks which discuss the preference of our theorem compared to previous results. An example is constructed with specific parameters that requires weaker conditions for the existence of a unique solution. Meanwhile, we construct an iterative sequence that converges to the unique solution and can not be commented via the results of Fazli and Nieto.\",\"PeriodicalId\":49806,\"journal\":{\"name\":\"Miskolc Mathematical Notes\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Miskolc Mathematical Notes\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.18514/mmn.2022.3702\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18514/mmn.2022.3702","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

受Fazli和Nieto在[开放数学，17(2019)499-512]中的论文的启发，我们建立了一类分数阶Bagley-Torvik微分方程的新的存在唯一性结果。所报道的结果不仅概括了以往的结果，而且采用了不同的技术。我们通过结束语来结束这项研究，这些结束语讨论了我们的定理与以前的结果相比的偏好。用特定的参数构造一个例子，这些参数需要较弱的条件来证明唯一解的存在。同时，我们构造了一个收敛于唯一解的迭代序列，并且不能通过Fazli和Nieto的结果进行注释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New existence and uniqueness result for fractional Bagley-Torvik differential equation

Inspired by the paper of Fazli and Nieto in [Open Math. 17 (2019) 499–512], we establish new existence and uniqueness result for a type of fractional Bagley–Torvik differential equation. Reported result not only generalizes previous results but also adopts different technique. We finish this study by concluding remarks which discuss the preference of our theorem compared to previous results. An example is constructed with specific parameters that requires weaker conditions for the existence of a unique solution. Meanwhile, we construct an iterative sequence that converges to the unique solution and can not be commented via the results of Fazli and Nieto.

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

Miskolc Mathematical Notes Mathematics-Algebra and Number Theory

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.