Stability analysis of linear fractional neutral delay differential equations (Q6592870)

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scientific article; zbMATH DE number 7901432
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Stability analysis of linear fractional neutral delay differential equations
scientific article; zbMATH DE number 7901432

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    Stability analysis of linear fractional neutral delay differential equations (English)
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    26 August 2024
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    A linear fractional neutral delay differential equations with Caputo fractional derivative and a constant delay is studied. The analytical stability region and the asymptotic stability of the given problem is investigated. Boundary locus techniques is applied to characterize stability regions of the problem. Sufficient conditions for exponential boundedness of the solutions are obtained. The asymptotic property and the decay rate are studied.
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    fractional neutral delay differential equation
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    Caputo fractional derivative
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    stability region
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    asymptotic behavior
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