The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations
Gunaseelan Mani, Salma Haque, Arul Joseph Gnanaprakasam, Özgür Ege, Nabil Mlaiki
Abstract
In this paper, we introduce the concept of bicomplex-valued controlled metric spaces and prove fixed point theorems. Our results mainly focus on generalizing and expanding some recently established results. Finally, we explain an application of our main result to a certain type of fractional differential equation.
Topics & Concepts
MathematicsMetric (unit)Focus (optics)Metric spaceDifferential (mechanical device)Point (geometry)Type (biology)Differential equationFixed-point theoremPure mathematicsApplied mathematicsMathematical analysisAlgebra over a fieldPhysicsEngineeringGeometryBiologyThermodynamicsOpticsEcologyOperations managementFixed Point Theorems AnalysisAdvanced Differential Geometry Research