On the kinetics of Hadamard-type fractional differential systems
2020 ◽
Vol 23
(2)
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pp. 553-570
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Keyword(s):
AbstractThis paper is devoted to the investigation of the kinetics of Hadamard-type fractional differential systems (HTFDSs) in two aspects. On one hand, the nonexistence of non-trivial periodic solutions for general HTFDSs, which are considered in some functional spaces, is proved and the corresponding eigenfunction of Hadamard-type fractional differential operator is also discussed. On the other hand, by the generalized Gronwall-type inequality, we estimate the bound of the Lyapunov exponents for HTFDSs. In addition, numerical simulations are addressed to verify the obtained theoretical results.
2011 ◽
Vol 62
(3)
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pp. 1451-1459
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2007 ◽
Vol 17
(11)
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pp. 3965-3983
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