Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings
Hasanen A. Hammad, Praveen Agarwal, Shaher Momani, Fahad Alsharari
Abstract
The intent of this manuscript is to present new rational symmetric ϖ−ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.
Topics & Concepts
StipulationMathematicsContraction (grammar)Pure mathematicsOrder (exchange)Metric spaceMathematical analysisLawFinanceEconomicsPolitical scienceInternal medicineMedicineFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisAdvanced Differential Geometry Research