Global asymptotic stability of the fractional differential equations

Volume 13, Issue 3, pp 171--175 http://dx.doi.org/10.22436/jnsa.013.03.06

Publication Date: December 10, 2019 Submission Date: November 05, 2019 Revision Date: November 19, 2019 Accteptance Date: November 27, 2019

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Authors

Ndolane Sene - Laboratoire Lmdan, Departement de Mathematiques de la Decision, Universite Cheikh Anta Diop de Dakar, BP 5683 Dakar Fann, Senegal.

Abstract

In this note, we present a global asymptotic stability criterion for the fractional differential equations in triangular form. We use the Caputo generalized fractional derivative in our investigations. In our note, we introduce a new procedure to study the global asymptotic stability of the fractional differential equations.

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Keywords

• Caputo left generalized fractional derivative
• fractional differential equations with input
• Mittag-Leffler input stability

MSC

•  93D25
•  93D05
•  26A33

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