Controllability of Second Order Functional Random Differential Equations with Delay

Mouffak Benchohra, Fatima Bouazzaoui, Erdal Karapinar and Abdelkrim Salim
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Mouffak Benchohra: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
Fatima Bouazzaoui: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
Erdal Karapinar: Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City 820000, Vietnam
Abdelkrim Salim: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria

Mathematics, 2022, vol. 10, issue 7, 1-16

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.

Keywords: random fixed point; functional differential equation; state-dependent delay; cosine and sine family; mild solution; controllability; finite delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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