度量图上的时间分数Airy方程

IF 0.4 Q4 MATHEMATICS

Journal of Siberian Federal University-Mathematics & Physics Pub Date : 2021-06-01 DOI:10.17516/1997-1397-2021-14-3-376-388

Rakhimov Kamoladdin, Sobirov Zarifboy, Jabborov Nasridin

{"title":"度量图上的时间分数Airy方程","authors":"Rakhimov Kamoladdin, Sobirov Zarifboy, Jabborov Nasridin","doi":"10.17516/1997-1397-2021-14-3-376-388","DOIUrl":null,"url":null,"abstract":"Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions of the considered problem were found. The uniqueness theorem is proved using the analogue of Gr¨onwall-Bellman inequality and a-priory estimate","PeriodicalId":43965,"journal":{"name":"Journal of Siberian Federal University-Mathematics & Physics","volume":"24 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Time-fractional Airy Equation on the Metric Graph\",\"authors\":\"Rakhimov Kamoladdin, Sobirov Zarifboy, Jabborov Nasridin\",\"doi\":\"10.17516/1997-1397-2021-14-3-376-388\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions of the considered problem were found. The uniqueness theorem is proved using the analogue of Gr¨onwall-Bellman inequality and a-priory estimate\",\"PeriodicalId\":43965,\"journal\":{\"name\":\"Journal of Siberian Federal University-Mathematics & Physics\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Siberian Federal University-Mathematics & Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17516/1997-1397-2021-14-3-376-388\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Siberian Federal University-Mathematics & Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17516/1997-1397-2021-14-3-376-388","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 2

摘要

研究有限键图上时间分数阶Airy方程的初边值问题。研究了该方程的势的性质。利用这些性质，找到了所考虑问题的解。利用Gr¨onwall-Bellman不等式的类比和先验估计证明了唯一性定理

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

The Time-fractional Airy Equation on the Metric Graph

Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions of the considered problem were found. The uniqueness theorem is proved using the analogue of Gr¨onwall-Bellman inequality and a-priory estimate

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

Journal of Siberian Federal University-Mathematics & Physics MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量