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

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.

Keywords

• 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