In:
Journal of Computational and Nonlinear Dynamics, ASME International, Vol. 16, No. 7 ( 2021-07-01)
Abstract:
This paper is devoted to estimating the bound of the Lyapunov exponents for the Caputo–Hadamard fractional differential system. First, using the Gronwall inequality, we analyze the continuous dependence of the solution to the Caputo–Hadamard fractional initial value problem (IVP). Then, we define the Lyapunov exponents for the Caputo–Hadamard fractional differential system and estimate their bounds. Besides, numerical examples are displayed which support the theoretical results.
Type of Medium:
Online Resource
ISSN:
1555-1415
,
1555-1423
Language:
English
Publisher:
ASME International
Publication Date:
2021
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