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2 results on '"α-ϕ-geraghty contraction"'

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

Author

Lazreg Jamal Eddine, Abbas Saïd, Benchohra Mouffak, and Karapınar Erdal

Subjects
fractional differential equation, caputo-fabrizio integral of fractional order, caputo-fabrizio fractional derivative, instantaneous impulse, b-metric space, α-ϕ-geraghty contraction, fixed point, 47h10, 54h25, Mathematics, QA1-939
Abstract

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.

Published
2021
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2. Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces

Author

Saïd Abbas, Erdal Karapınar, Jamal Eddine Lazreg, and Mouffak Benchohra

Subjects
Pure mathematics, b-metric space, instantaneous impulse, α-ϕ-geraghty contraction, General Mathematics, 010102 general mathematics, Fixed point, 01 natural sciences, caputo-fabrizio fractional derivative, 010101 applied mathematics, Metric space, 54h25, fixed point, fractional differential equation, QA1-939, caputo-fabrizio integral of fractional order, 0101 mathematics, Fractional differential, 47h10, Mathematics
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.

Published
2021

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