具有两种不同阶数的积分边界问题的上解和下解（左（p，右））--分数差分

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-14 DOI:10.1186/s13660-024-03185-3

Mouataz Billah Mesmouli, Farah M. Al-Askar, Wael W. Mohammed

{"title":"具有两种不同阶数的积分边界问题的上解和下解（左（p，右））--分数差分","authors":"Mouataz Billah Mesmouli, Farah M. Al-Askar, Wael W. Mohammed","doi":"10.1186/s13660-024-03185-3","DOIUrl":null,"url":null,"abstract":"In this paper, a $\\left ( p,q\\right ) $ -fractional nonlinear difference equation of different orders is considered and discussed. With the help of $\\left ( p,q\\right ) $ -calculus for integrals and derivatives properties, we convert the main integral boundary value problem (IBVP) to an equivalent solution in the form of an integral equation, we use the upper–lower solution technique to prove the existence of positive solutions. We present an example of the IBVP to apply and demonstrate the results of our method.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Upper and lower solutions for an integral boundary problem with two different orders \\\$\\\\left ( p,q\\\\right ) \\\$-fractional difference\",\"authors\":\"Mouataz Billah Mesmouli, Farah M. Al-Askar, Wael W. Mohammed\",\"doi\":\"10.1186/s13660-024-03185-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a $\\\\left ( p,q\\\\right ) $ -fractional nonlinear difference equation of different orders is considered and discussed. With the help of $\\\\left ( p,q\\\\right ) $ -calculus for integrals and derivatives properties, we convert the main integral boundary value problem (IBVP) to an equivalent solution in the form of an integral equation, we use the upper–lower solution technique to prove the existence of positive solutions. We present an example of the IBVP to apply and demonstrate the results of our method.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1186/s13660-024-03185-3\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1186/s13660-024-03185-3","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

本文考虑并讨论了不同阶的 $\left ( p,q\right ) $ 分数非线性差分方程。借助 $\left ( p,q\right ) $ -微积分的积分和导数性质，我们将主积分边界值问题（IBVP）转换为积分方程形式的等价解，并利用上-下解技术证明正解的存在性。我们给出了一个 IBVP 的应用实例，并演示了我们方法的结果。

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

Upper and lower solutions for an integral boundary problem with two different orders $\left ( p,q\right ) $-fractional difference

In this paper, a $\left ( p,q\right ) $ -fractional nonlinear difference equation of different orders is considered and discussed. With the help of $\left ( p,q\right ) $ -calculus for integrals and derivatives properties, we convert the main integral boundary value problem (IBVP) to an equivalent solution in the form of an integral equation, we use the upper–lower solution technique to prove the existence of positive solutions. We present an example of the IBVP to apply and demonstrate the results of our method.

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.