Stability and Controllability Study for Mixed Integral Fractional Delay Dynamic Systems Endowed with Impulsive Effects on Time Scales
Hasanen A. Hammad, Manuel De la Sen
Abstract
In this article, we investigate a novel class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. Also, fixed-point techniques are applied to study the existence and uniqueness of a solution to the considered systems. Furthermore, sufficient conditions for Ulam–Hyers stability and controllability of the considered systems are established. It turns out that controllability is a very relevant property in dynamic systems and also in differential equations since, if controllability holds, then the solution of a system of differential equations also holds. Finally, an illustrative example of the obtained results is provided.
Topics & Concepts
ControllabilityUniquenessMathematicsStability (learning theory)Control theory (sociology)Applied mathematicsClass (philosophy)Differential (mechanical device)Property (philosophy)Differential equationMathematical analysisComputer scienceControl (management)PhysicsMachine learningEpistemologyPhilosophyThermodynamicsArtificial intelligenceNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Boundary Problems