Impulsive Caputo-Fabrizio fractional differential equations in<i>b</i>-metric spaces
Jamal Eddine Lazreg, Saı̈d Abbas, Mouffak Benchohra, Erdal Karapınar
Abstract
Abstract We deal with some impulsive Caputo-Fabrizio fractional differential equations in <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi>b</m:mi></m:math> b -metric spaces. We make use of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi>α</m:mi><m:mtext>-</m:mtext><m:mi>ϕ</m:mi></m:math> \alpha \text{-}\phi -Geraghty-type contraction. An illustrative example is the subject of the last section.
Topics & Concepts
MathematicsMetric spaceMetric (unit)Contraction (grammar)Number theoryFractional calculusDifferential equationPure mathematicsDiscrete mathematicsAlgebra over a fieldMathematical analysisMedicineOperations managementEconomicsInternal medicineNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis