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On the kinetics of Hadamard-type fractional differential systems

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Abstract

This 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.

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  1. School of Mathematics, Hefei University of Technology, No. 420, Feicui Road, Hefei, 230601, China

    Li Ma

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Ma, L. On the kinetics of Hadamard-type fractional differential systems. Fract Calc Appl Anal 23, 553–570 (2020). https://doi.org/10.1515/fca-2020-0027

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  • DOI: https://doi.org/10.1515/fca-2020-0027

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