Controllability of Second Order Functional Random Differential Equations with Delay
Mouffak Benchohra, Fatima Bouazzaoui, Erdal Karapınar, Abdelkrim Salım
Abstract
In this article, we study some existence and controllability results for two classes of second order functional differential equations with delay and random effects. To begin, we employ a random fixed point theorem with a stochastic domain to demonstrate the existence of mild random solutions. Next, we prove that our problems are controllable. Finally, an example is given to validate the theory part.
Topics & Concepts
ControllabilityMathematicsOrder (exchange)Fixed-point theoremDomain (mathematical analysis)Applied mathematicsDifferential equationStochastic differential equationPoint (geometry)Mathematical analysisGeometryFinanceEconomicsNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in Engineering