Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control
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...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/9169185 |
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| _version_ | 1832549713655627776 |
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| author | Kaihong Zhao |
| author_facet | Kaihong Zhao |
| author_sort | Kaihong Zhao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-534e04832ee64e70abc6496b540429f3 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-534e04832ee64e70abc6496b540429f32025-02-03T06:08:44ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/9169185Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay ControlKaihong Zhao0Department of MathematicsFractional 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.http://dx.doi.org/10.1155/2022/9169185 |
| spellingShingle | Kaihong Zhao Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control Discrete Dynamics in Nature and Society |
| title | Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control |
| title_full | Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control |
| title_fullStr | Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control |
| title_full_unstemmed | Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control |
| title_short | Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control |
| title_sort | stability of a nonlinear fractional langevin system with nonsingular exponential kernel and delay control |
| url | http://dx.doi.org/10.1155/2022/9169185 |
| work_keys_str_mv | AT kaihongzhao stabilityofanonlinearfractionallangevinsystemwithnonsingularexponentialkernelanddelaycontrol |