{"title":"Fractional Differentiation and Integration for Fuzzy Functions on Time Scales","authors":"Mina Shahidi, E. Esmi, L. C. Barros","doi":"10.5540/03.2023.010.01.0056","DOIUrl":null,"url":null,"abstract":". In this paper, we propose a new definition of the fractional derivative and fractional integral for fuzzy functions on time scales. The introduced derivative is a natural extension of the Hukuhara derivative. Furthermore, some properties of the introduced derivative and integral are studied. Some examples are provided to illustrate the obtained results.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"99 s395","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5540/03.2023.010.01.0056","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, we propose a new definition of the fractional derivative and fractional integral for fuzzy functions on time scales. The introduced derivative is a natural extension of the Hukuhara derivative. Furthermore, some properties of the introduced derivative and integral are studied. Some examples are provided to illustrate the obtained results.
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