The uniqueness and iterative properties of solutions for a general Hadamard-type singular fractional turbulent flow model
Xinguang Zhang, Pengtao Xu, Yonghong Wu, Benchawan Wiwatanapataphee
Abstract
In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator. By developing a double monotone iterative technique we firstly establish the uniqueness of positive solutions for the corresponding model. Then we carry out the iterative analysis for the unique solution including the iterative schemes converging to the unique solution, error estimates, convergence rate and entire asymptotic behavior. In addition, we also give an example to illuminate our results.
Topics & Concepts
UniquenessMathematicsHadamard transformApplied mathematicsIterative methodConvergence (economics)Monotone polygonType (biology)Nonlinear systemRate of convergenceFlow (mathematics)Sequence (biology)Mathematical analysisMathematical optimizationComputer scienceGeometryPhysicsEconomicsQuantum mechanicsGeneticsEcologyChannel (broadcasting)Computer networkBiologyEconomic growthNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods