In this paper, we are interested to study a nonlinear Volterra equation with conformable deriva-
tive. This kind of such equation has various applications, for example physics, mechanical
engineering, heat conduction theory. First, we show that our problem have a mild soltution
which exists locally in time. Then we prove that the convergence of the mild solution when the
parameter tends to zero.
{"title":"On the nonlinear Volterra equation with conformable derivative","authors":"Nguyen Hoang TUAN, Nguyen Minh HAİ, Nguyen Duc PHUONG","doi":"10.31197/atnaa.1287765","DOIUrl":"https://doi.org/10.31197/atnaa.1287765","url":null,"abstract":"In this paper, we are interested to study a nonlinear Volterra equation with conformable deriva-
 tive. This kind of such equation has various applications, for example physics, mechanical
 engineering, heat conduction theory. First, we show that our problem have a mild soltution
 which exists locally in time. Then we prove that the convergence of the mild solution when the
 parameter tends to zero.","PeriodicalId":36619,"journal":{"name":"Advances in the Theory of Nonlinear Analysis and its Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135068142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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