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Controllability of Second Order Functional Random Differential Equations with Delay

Author

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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
    Department of Mathematics, Cankaya University, Ankara 06790, Turkey
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • Abdelkrim Salim

    (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria)

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.

Suggested Citation

  • Mouffak Benchohra & Fatima Bouazzaoui & Erdal Karapinar & Abdelkrim Salim, 2022. "Controllability of Second Order Functional Random Differential Equations with Delay," Mathematics, MDPI, vol. 10(7), pages 1-16, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1120-:d:784254
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    References listed on IDEAS

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    1. K. Balachandran & J.P. Dauer, 2002. "Controllability of Nonlinear Systems in Banach Spaces: A Survey," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 7-28, October.
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    Cited by:

    1. Abdelhamid Bensalem & Abdelkrim Salim & Mouffak Benchohra & Michal Fečkan, 2023. "Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses," Mathematics, MDPI, vol. 11(7), pages 1-17, March.

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