一类分数边值问题的格林函数的排序和lyapunov型不等式

Fractional Differential Calculus Pub Date : 1900-01-01 DOI:10.7153/FDC-2019-09-08

J. Jonnalagadda

{"title":"一类分数边值问题的格林函数的排序和lyapunov型不等式","authors":"J. Jonnalagadda","doi":"10.7153/FDC-2019-09-08","DOIUrl":null,"url":null,"abstract":"In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition. We construct the corresponding Green’s function and deduce its ordering property. Then, we obtain a Lyapunov-type inequality using the properties of the Green’s function, and illustrate a few of its applications. Mathematics subject classification (2010): 34A08, 39A10, 39A12, 34B15.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"125 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems\",\"authors\":\"J. Jonnalagadda\",\"doi\":\"10.7153/FDC-2019-09-08\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition. We construct the corresponding Green’s function and deduce its ordering property. Then, we obtain a Lyapunov-type inequality using the properties of the Green’s function, and illustrate a few of its applications. Mathematics subject classification (2010): 34A08, 39A10, 39A12, 34B15.\",\"PeriodicalId\":135809,\"journal\":{\"name\":\"Fractional Differential Calculus\",\"volume\":\"125 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fractional Differential Calculus\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/FDC-2019-09-08\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fractional Differential Calculus","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/FDC-2019-09-08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 11

摘要

本文考虑一类涉及分数阶差分边界条件的两点Riemann-Liouville型nabla分数阶边值问题。构造了相应的格林函数，并推导了其序性。然后，我们利用格林函数的性质得到了一个李雅普诺夫不等式，并举例说明了它的一些应用。数学学科分类(2010):34A08, 39A10, 39A12, 34B15。

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

An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition. We construct the corresponding Green’s function and deduce its ordering property. Then, we obtain a Lyapunov-type inequality using the properties of the Green’s function, and illustrate a few of its applications. Mathematics subject classification (2010): 34A08, 39A10, 39A12, 34B15.

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

Fractional Differential Calculus

CiteScore

1.30

自引率

0.00%

发文量