{"title":"模糊数商空间中的两点边值问题","authors":"Zhiyong Xiao, Kun Liu, Xinxin Wang","doi":"10.1109/ICSAI57119.2022.10005423","DOIUrl":null,"url":null,"abstract":"The fuzzy differential equation (FDE) with two-point boundary value (TPBV) based on fuzzy number quotient space (QSFN) is studied. The equivalence between FDE and fuzzy integral equation (FIE) is established by Green’s function and formula of integration by parts. The existence of unique solution of TPBVP is obtained by contraction mapping principle.","PeriodicalId":339547,"journal":{"name":"2022 8th International Conference on Systems and Informatics (ICSAI)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two-Point Boundary Value Problems in the Quotient Space of Fuzzy Number\",\"authors\":\"Zhiyong Xiao, Kun Liu, Xinxin Wang\",\"doi\":\"10.1109/ICSAI57119.2022.10005423\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The fuzzy differential equation (FDE) with two-point boundary value (TPBV) based on fuzzy number quotient space (QSFN) is studied. The equivalence between FDE and fuzzy integral equation (FIE) is established by Green’s function and formula of integration by parts. The existence of unique solution of TPBVP is obtained by contraction mapping principle.\",\"PeriodicalId\":339547,\"journal\":{\"name\":\"2022 8th International Conference on Systems and Informatics (ICSAI)\",\"volume\":\"60 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 8th International Conference on Systems and Informatics (ICSAI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSAI57119.2022.10005423\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 8th International Conference on Systems and Informatics (ICSAI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSAI57119.2022.10005423","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Two-Point Boundary Value Problems in the Quotient Space of Fuzzy Number
The fuzzy differential equation (FDE) with two-point boundary value (TPBV) based on fuzzy number quotient space (QSFN) is studied. The equivalence between FDE and fuzzy integral equation (FIE) is established by Green’s function and formula of integration by parts. The existence of unique solution of TPBVP is obtained by contraction mapping principle.
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