文章基本信息

标题：Application of some new contractions for existence and uniqueness of differential equations involving Caputo–Fabrizio derivative
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作者：Hojjat Afshari ; Hossein Hosseinpour ; H. R. Marasi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03476-9
出版社：Hindawi Publishing Corporation
摘要：In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which involves nonsingular kernel. First we apply α-ℓ-contraction and α-type F-contraction mappings to study the existence and uniqueness of solutions for such problems. Finally, we use some contraction mappings in complete $\mathfrak{F}$ -metric spaces for this purpose.
关键词：Caputo–Fabrizio fractional derivative ; $\mathfrak{F}$ -metric space ; α ;ℓ -contraction mapping ; Fixed point