Fixed Point and Stability Analysis of a Tripled System of Nonlinear Fractional Differential Equations with n-Nonlinear Terms
Mohamed S. Algolam, Osman Osman, Arshad Ali, Alaa Mustafa, Khaled Aldwoah, Amer Alsulami
Abstract
This research article investigates a tripled system of nonlinear fractional differential equations with n terms. The study explores this novel class of differential equations to establish existence and stability results. Utilizing Schaefer’s and Banach’s fixed point theorems, we derive sufficient conditions for the existence of at least one solution, as well as a unique solution. Furthermore, we apply Hyers–Ulam stability analysis to establish criteria for the stability of the system. To demonstrate the applicability of the main results, a detailed example is provided.
Topics & Concepts
Nonlinear systemStability (learning theory)MathematicsMathematical analysisFixed-point theoremDifferential equationFixed pointApplied mathematicsPhysicsComputer scienceMachine learningQuantum mechanicsDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems