A study of symmetric contractions with an application to generalized fractional differential equations
Aftab Hussain, Fahd Jarad, Erdal Karapınar
Abstract
Abstract This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.
Topics & Concepts
MathematicsUniquenessOrdinary differential equationFractional calculusBoundary value problemMathematical analysisContraction mappingContraction (grammar)Partial differential equationDerivative (finance)Fixed-point theoremApplied mathematicsDifferential equationPure mathematicsFinancial economicsInternal medicineEconomicsMedicineFixed Point Theorems AnalysisAdvanced Differential Geometry Research