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Asymptotical stability analysis of conformable fractional systems.

Authors :
Qi, Yongfang
Wang, Xuhuan
Source :
Journal of Taibah University for Science; Jan-Dec2020, Vol. 14 Issue 1, p44-49, 6p
Publication Year :
2020

Abstract

In this paper, we analyses the asymptotical stability of the system in the form T α y (τ) = A y (τ) + f (τ , y (τ)) with the initial value y (τ 0) = y 0 . With the help of the Grönwall's Inequality and function analysis, we have proved asymptotical stability of solution for the conformable fractional system. Two examples are included to apply the results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16583655
Volume :
14
Issue :
1
Database :
Complementary Index
Journal :
Journal of Taibah University for Science
Publication Type :
Academic Journal
Accession number :
147677199
Full Text :
https://doi.org/10.1080/16583655.2019.1701390