G. A. M. Nchama, L. D. L. Alfonso, A. L. Mecías, M. R. Ricard
{"title":"Properties of the Caputo-Fabrizio Fractional Derivative,","authors":"G. A. M. Nchama, L. D. L. Alfonso, A. L. Mecías, M. R. Ricard","doi":"10.18576/amis/140503","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate some properties related CaputoFabrizio fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator. Using the method of Laplace transform, we found explicit solutions of some differential equations containing the Caputo-Fabrizio fractional derivative. Different types of inequalities generated by using the Caputo-Fabrizio derivative are also presented.","PeriodicalId":49266,"journal":{"name":"Applied Mathematics & Information Sciences","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics & Information Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18576/amis/140503","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, we investigate some properties related CaputoFabrizio fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator. Using the method of Laplace transform, we found explicit solutions of some differential equations containing the Caputo-Fabrizio fractional derivative. Different types of inequalities generated by using the Caputo-Fabrizio derivative are also presented.