Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces

We deal with some impulsive Caputo-Fabrizio fractional differential equations in b b -metric spaces. We make use of α - ϕ \alpha \text{-}\phi -Geraghty-type contraction. An illustrative example is the subject of the last section.

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 363 - 372
Main Authors Lazreg, Jamal Eddine, Abbas, Saïd, Benchohra, Mouffak, Karapınar, Erdal
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 21.05.2021
De Gruyter Poland
Subjects
47H10
54H25
b-metric space
Caputo-Fabrizio fractional derivative
Caputo-Fabrizio integral of fractional order
Differential equations
fixed point
fractional differential equation
instantaneous impulse
Mathematical analysis
Metric space
α-ϕ-Geraghty contraction
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Summary:We deal with some impulsive Caputo-Fabrizio fractional differential equations in b b -metric spaces. We make use of α - ϕ \alpha \text{-}\phi -Geraghty-type contraction. An illustrative example is the subject of the last section.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0040