{"title":"具有p-Laplacian算子的ψ-Hilfer分数积分边值问题解的唯一性","authors":"A. Alsaedi, M. Alghanmi, B. Ahmad, Boshra Alharbi","doi":"10.1515/dema-2022-0195","DOIUrl":null,"url":null,"abstract":"Abstract In this article, we discuss the existence of a unique solution to a ψ \\psi -Hilfer fractional differential equation involving the p p -Laplacian operator subject to nonlocal ψ \\psi -Riemann-Liouville fractional integral boundary conditions. Banach’s fixed point theorem is the main tool of our study. Examples are given for illustrating the obtained results.","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator\",\"authors\":\"A. Alsaedi, M. Alghanmi, B. Ahmad, Boshra Alharbi\",\"doi\":\"10.1515/dema-2022-0195\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this article, we discuss the existence of a unique solution to a ψ \\\\psi -Hilfer fractional differential equation involving the p p -Laplacian operator subject to nonlocal ψ \\\\psi -Riemann-Liouville fractional integral boundary conditions. Banach’s fixed point theorem is the main tool of our study. Examples are given for illustrating the obtained results.\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/dema-2022-0195\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/dema-2022-0195","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
引用次数: 3
摘要
摘要本文讨论了非局部ψ \psi -Riemann-Liouville分数阶积分边界条件下包含p p - laplace算子的ψ \psi -Hilfer分数阶微分方程的唯一解的存在性。巴拿赫不动点定理是我们研究的主要工具。给出了实例来说明所得结果。
Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator
Abstract In this article, we discuss the existence of a unique solution to a ψ \psi -Hilfer fractional differential equation involving the p p -Laplacian operator subject to nonlocal ψ \psi -Riemann-Liouville fractional integral boundary conditions. Banach’s fixed point theorem is the main tool of our study. Examples are given for illustrating the obtained results.