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

• Published in: Open mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 363 - 372
• Main Authors: Lazreg, Jamal Eddine, Abbas, Saïd, Benchohra, Mouffak, Karapınar, Erdal
• Format: Journal Article
• Language: English
• 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

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.