Stability and Existence of Solutions for a Tripled Problem of Fractional Hybrid Delay Differential Equations
Hasanen A. Hammad, Rashwan A. Rashwan, Ahmed Nafea, Mohammad Esmael Samei, Manuel De la Sen
Abstract
The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which support the existence of at least one solution to our system by applying hybrid fixed point theory. Similar types of stability analysis are presented, including Ulam–Hyers, generalized Ulam–Hyers, Ulam–Hyers–Rassias, and generalized Ulam–Hyers–Rassias. The necessary stipulations for obtaining the solution to our proposed problem are established. Finally, we provide a non-trivial illustrative example to support and enhance our analysis.
Topics & Concepts
MathematicsStability (learning theory)Fixed pointFixed-point theoremApplied mathematicsDifferential equationPoint (geometry)Symmetry (geometry)Differential (mechanical device)Mathematical analysisComputer sciencePhysicsThermodynamicsMachine learningGeometryFractional Differential Equations SolutionsFunctional Equations Stability ResultsNonlinear Differential Equations Analysis