Stability Concepts of Riemann-Liouville Fractional-Order Delay Nonlinear Systems
Keyword(s):
Set Up
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First, we set up in an appropriate way the initial value problem for nonlinear delay differential equations with a Riemann-Liouville (RL) fractional derivative. We define stability in time and generalize Mittag-Leffler stability for RL fractional differential equations and we study stability properties by an appropriate modification of the Razumikhin method. Two different types of derivatives of Lyapunov functions are studied: the RL fractional derivative when the argument of the Lyapunov function is any solution of the studied problem and a special type of Dini fractional derivative among the studied problem.
2021 ◽
Vol 1849
(1)
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pp. 012014
2006 ◽
Vol 43
(7-8)
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pp. 854-869
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2004 ◽
Vol 40
(5-6)
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pp. 583-590
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2019 ◽
Vol 348
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pp. 314-327
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