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. 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.

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