Fixed Point Theorems: Exploring Applications in Fractional Differential Equations for Economic Growth
Afrah Ahmad Noman Abdou
Abstract
The aim of this research is to introduce two new notions, Θ-(Ξ,h)-contraction and rational (α,η)-ψ-interpolative contraction, in the setting of F-metric space and to establish corresponding fixed point theorems. To reinforce understanding and highlight the novelty of our findings, we provide a non-trivial example that not only supports the obtained results but also illuminates the established theory. Finally, we apply our main result to discuss the existence and uniqueness of solutions for a fractional differential equation describing an economic growth model.
Topics & Concepts
Fixed-point theoremMathematicsDifferential equationFixed pointApplied mathematicsFractional calculusDifferential (mechanical device)Mathematical economicsMathematical analysisCalculus (dental)PhysicsMedicineThermodynamicsDentistryFixed Point Theorems AnalysisFractional Differential Equations SolutionsNonlinear Differential Equations Analysis