Coupled Fixed Point Theorem for the Generalized Langevin Equation with Four-Point and Strip Conditions
Ahmed Salem, Noorah Mshary
Abstract
By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders. We analyze our problem with four-point and strip conditions. The description of the rigid plate bounded by a Newtonian fluid is provided as an application of our results. The exact solution of this problem and approximate solutions are compared.
Topics & Concepts
UniquenessMathematicsFixed-point theoremLangevin equationPoint (geometry)Newtonian potentialMathematical analysisBounded functionMetric spaceMetric (unit)Space (punctuation)Picard–Lindelöf theoremType (biology)PhysicsStatistical physicsClassical mechanicsGeometryComputer scienceGravitationOperations managementBiologyEconomicsEcologyOperating systemFractional Differential Equations SolutionsFixed Point Theorems AnalysisAdvanced Differential Geometry Research