Asymptotic behavior of fractional-order nonlinear systems with two different derivatives
Liping Chen, Min Xue, António Lopes, Ranchao Wu, YangQuan Chen
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Source: Crossref
Published: May 15, 2023
DOI: 10.1007/s10665-023-10272-9
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Abstract This paper addresses the asymptotic behavior of systems described by nonlinear differential equations with two fractional derivatives. Using the Mittag–Leffler function, the Laplace transform, and the generalized Gronwall inequality, a sufficient asymptotic stability condition is derived for such systems. Numerical examples illustrate the theoretical results.
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