{"title":"半线上具有二维核的谐振分数阶微分方程","authors":"E. K. Ojo, S. A. Iyase, T. Anake","doi":"10.22436/jmcs.032.02.03","DOIUrl":null,"url":null,"abstract":"This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":" ","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Resonant fractional order differential equation with two-dimensional kernel on the half-line\",\"authors\":\"E. K. Ojo, S. A. Iyase, T. Anake\",\"doi\":\"10.22436/jmcs.032.02.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.\",\"PeriodicalId\":45497,\"journal\":{\"name\":\"Journal of Mathematics and Computer Science-JMCS\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2023-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics and Computer Science-JMCS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22436/jmcs.032.02.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Computer Science-JMCS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jmcs.032.02.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Resonant fractional order differential equation with two-dimensional kernel on the half-line
This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.
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