Stability with respect to part of the variables of nonlinear Caputo fractional differential equations

Abdellatif Ben Makhlouf

Vol. 23 No. 1 (2018)

Regular Articles

Stability with respect to part of the variables of nonlinear Caputo fractional differential equations

Published 2017-10-05

Abdellatif Ben Makhlouf

Abdellatif Ben Makhlouf
University of Sfax, Faculty of Sciences of Sfax, Department of Mathematics, BP 1171, Sfax, Tunisia.

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Abstract

In this paper, the stability with respect to part of the variables of nonlinear Caputo fractional differential equations is studied. A sufficient conditions of stability, uniform stability, Mittag Leffler stability and asymptotic uniform stability of this type are obtained within the method of Lyapunov-like function.

Keywords

Fractional order system, stability analysis, Mittag-Leer function

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