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Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control

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  • Kaihong Zhao
  • Abdellatif Ben Makhlouf

Abstract

Fractional Langevin system has great advantages in describing the random motion of Brownian particles in complex viscous fluid. This manuscript deals with a delayed nonlinear fractional Langevin system with nonsingular exponential kernel. Based on the fixed point theory, some sufficient criteria for the existence and uniqueness of solution are established. We also prove that this system is UH- and UHR-stable attributed to the nonlinear analysis and inequality techniques. As applications, we provide some examples and simulations to illustrate the availability of main findings.

Suggested Citation

  • Kaihong Zhao & Abdellatif Ben Makhlouf, 2022. "Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-16, November.
    • Handle: RePEc:hin:jnddns:9169185
    DOI: 10.1155/2022/9169185
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    Cited by:

    1. Suleiman Saleh & Chang-Hyun Sohn, 2024. "Power Extraction Performance by a Hybrid Non-Sinusoidal Pitching Motion of an Oscillating Energy Harvester," Energies, MDPI, vol. 17(11), pages 1-17, May.

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