Stability Solution of Fractional Randomly System

Eman Ahmad; Sameh

doi:https://doi.org/10.54216/PAMDA.040203

Full Length Article

Volume 4 • Issue 2 • PP: 23-36 • 2024

Stability Solution of Fractional Randomly System

Eman Ahmad Hussen ^1*

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,

Sameh ALargeh ²

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¹PhD Student, Homs University, College of Science, Homs, Syria

²Faculty Member, Homs University, Faculty of Science, Homs, Syria

* Corresponding Author.

DOI https://doi.org/10.54216/PAMDA.040203

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Received: September 14, 2024 Revised: November 18, 2024 Accepted: December 31, 2024

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Abstract

In this paper, we study stability Solution of Fractional Randomly System. Two methods are provided to check the stability of such system in mean sense. The first method is based on integral inequalities. The second method is based on Lyapunov function. Stable in mean sense, asymptotically stable in mean sense are shown by using generalized Gromwell inequality. Stable in mean sense, asymptotically stable in mean sense, Mittag-Leffler stable in mean sense are shown by using generalized Lyapunov method.

Keywords

Randomly Parameters Norm expected value Lyapunov function Integral inequalities Stable Mean sense Laplace transform Fractional derivative

References

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Hussen, Eman Ahmad, ALargeh, Sameh. "Stability Solution of Fractional Randomly System." Prospects for Applied Mathematics and Data Analysis, vol. Volume 4, no. Issue 2, 2024, pp. 23-36. DOI: https://doi.org/10.54216/PAMDA.040203

Hussen, E., ALargeh, S. (2024). Stability Solution of Fractional Randomly System. Prospects for Applied Mathematics and Data Analysis, Volume 4(Issue 2), 23-36. DOI: https://doi.org/10.54216/PAMDA.040203

Hussen, Eman Ahmad, ALargeh, Sameh. "Stability Solution of Fractional Randomly System." Prospects for Applied Mathematics and Data Analysis Volume 4, no. Issue 2 (2024): 23-36. DOI: https://doi.org/10.54216/PAMDA.040203

Hussen, E., ALargeh, S. (2024) 'Stability Solution of Fractional Randomly System', Prospects for Applied Mathematics and Data Analysis, Volume 4(Issue 2), pp. 23-36. DOI: https://doi.org/10.54216/PAMDA.040203

Hussen E, ALargeh S. Stability Solution of Fractional Randomly System. Prospects for Applied Mathematics and Data Analysis. 2024;Volume 4(Issue 2):23-36. DOI: https://doi.org/10.54216/PAMDA.040203

E. Hussen, S. ALargeh, "Stability Solution of Fractional Randomly System," Prospects for Applied Mathematics and Data Analysis, vol. Volume 4, no. Issue 2, pp. 23-36, 2024. DOI: https://doi.org/10.54216/PAMDA.040203

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