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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Abstract 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.
AbstractList 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.
We deal with some impulsive Caputo-Fabrizio fractional differential equations in -metric spaces. We make use of -Geraghty-type contraction. An illustrative example is the subject of the last section.
We deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of α-ϕ-Geraghty-type contraction. An illustrative example is the subject of the last section.
We deal with some impulsive Caputo-Fabrizio fractional differential equations in bb-metric spaces. We make use of α-ϕ\alpha \text{-}\phi -Geraghty-type contraction. An illustrative example is the subject of the last section.
Author Benchohra, Mouffak
Abbas, Saïd
Karapınar, Erdal
Lazreg, Jamal Eddine
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  givenname: Jamal Eddine
  surname: Lazreg
  fullname: Lazreg, Jamal Eddine
  email: lazregjamal@yahoo.fr
  organization: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
– sequence: 2
  givenname: Saïd
  surname: Abbas
  fullname: Abbas, Saïd
  email: abbasmsaid@yahoo.fr
  organization: Department of Mathematics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000 Saïda, Algeria
– sequence: 3
  givenname: Mouffak
  surname: Benchohra
  fullname: Benchohra, Mouffak
  email: benchohra@yahoo.com
  organization: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
– sequence: 4
  givenname: Erdal
  surname: Karapınar
  fullname: Karapınar, Erdal
  email: erdalkarapinar@tdmu.edu.vn
  organization: Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan
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Snippet We deal with some impulsive Caputo-Fabrizio fractional differential equations in -metric spaces. We make use of -Geraghty-type contraction. An illustrative...
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...
We deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of α-ϕ-Geraghty-type contraction. An illustrative...
We deal with some impulsive Caputo-Fabrizio fractional differential equations in bb-metric spaces. We make use of α-ϕ\alpha \text{-}\phi -Geraghty-type...
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SubjectTerms 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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Title Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces
URI https://www.degruyter.com/doi/10.1515/math-2021-0040
https://www.proquest.com/docview/2619224626
https://doaj.org/article/7f5b3e84a5fb4cd59b6a382de9b6469e
Volume 19
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