{"title":"具有ψ-Hilfer分数阶导数的非线性Volterra-Fredholm积分微分方程的周期解","authors":"S. Bouriah, D. Foukrach, M. Benchohra, Yong Zhou","doi":"10.7153/dea-2022-14-31","DOIUrl":null,"url":null,"abstract":". In this research paper, we present some results about the existence and uniqueness of periodic solutions for a great nonlinear class of Volterra-Fredholm integro-differential equations equipped with fractional integral conditions, involving ψ -Hilfer fractional operator. This inves- tigation is carried out by means of the coincidence degree theory of Mawhin. A typical example is also presented.","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\":\"On the periodic solutions for nonlinear Volterra-Fredholm integro-differential equations with ψ-Hilfer fractional derivative\",\"authors\":\"S. Bouriah, D. Foukrach, M. Benchohra, Yong Zhou\",\"doi\":\"10.7153/dea-2022-14-31\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this research paper, we present some results about the existence and uniqueness of periodic solutions for a great nonlinear class of Volterra-Fredholm integro-differential equations equipped with fractional integral conditions, involving ψ -Hilfer fractional operator. This inves- tigation is carried out by means of the coincidence degree theory of Mawhin. A typical example is also presented.\",\"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-2022-14-31\",\"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-2022-14-31","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the periodic solutions for nonlinear Volterra-Fredholm integro-differential equations with ψ-Hilfer fractional derivative
. In this research paper, we present some results about the existence and uniqueness of periodic solutions for a great nonlinear class of Volterra-Fredholm integro-differential equations equipped with fractional integral conditions, involving ψ -Hilfer fractional operator. This inves- tigation is carried out by means of the coincidence degree theory of Mawhin. A typical example is also presented.