{"title":"一类混合分数阶微分方程边值问题的存在性结果","authors":"Shaista Gul, R. Khan","doi":"10.7153/dea-2022-14-19","DOIUrl":null,"url":null,"abstract":". In this paper, we study a system of nonlinear boundary value problems (BVPs) con- sisting of more general class of sequential hybrid fractional equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear func- tions involved depend explicitly on the fractional derivatives. We study necessary conditions required for existence of solutions to the suggested system of BVPs under the Caratheodory con- ditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence results for a system of boundary value problems for hybrid fractional differential equations\",\"authors\":\"Shaista Gul, R. Khan\",\"doi\":\"10.7153/dea-2022-14-19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we study a system of nonlinear boundary value problems (BVPs) con- sisting of more general class of sequential hybrid fractional equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear func- tions involved depend explicitly on the fractional derivatives. We study necessary conditions required for existence of solutions to the suggested system of BVPs under the Caratheodory con- ditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.\",\"PeriodicalId\":179999,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/dea-2022-14-19\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2022-14-19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence results for a system of boundary value problems for hybrid fractional differential equations
. In this paper, we study a system of nonlinear boundary value problems (BVPs) con- sisting of more general class of sequential hybrid fractional equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear func- tions involved depend explicitly on the fractional derivatives. We study necessary conditions required for existence of solutions to the suggested system of BVPs under the Caratheodory con- ditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis.