An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System

dc.contributor.author	Li, Changpin
dc.contributor.author	Yin, Chuntao
dc.date.accessioned	2022-02-06T05:45:55Z
dc.date.available	2022-02-06T05:45:55Z
dc.date.copyright	5/18/2021 12:00:00 AM
dc.date.issued	2021
dc.identifier.issn	1555-1415
dc.identifier.other	cnd_016_07_071002.pdf
dc.identifier.uri	http://yetl.yabesh.ir/yetl1/handle/yetl/4278708
dc.description.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.
dc.publisher	The American Society of Mechanical Engineers (ASME)
dc.title	An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System
dc.type	Journal Paper
dc.journal.volume	16
dc.journal.issue	7
dc.journal.title	Journal of Computational and Nonlinear Dynamics
dc.identifier.doi	10.1115/1.4051024
dc.journal.fristpage	071002-1
dc.journal.lastpage	071002-8
dc.page	8
dc.tree	Journal of Computational and Nonlinear Dynamics:;2021:;volume( 016 ):;issue: 007
dc.contenttype	Fulltext