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2010 Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay
S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, T. Abdeljawad (Maraaba)
Abstr. Appl. Anal. 2010: 1-7 (2010). DOI: 10.1155/2010/108651


Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. In this line of taught in this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative, and we proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems.


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S. J. Sadati. D. Baleanu. A. Ranjbar. R. Ghaderi. T. Abdeljawad (Maraaba). "Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay." Abstr. Appl. Anal. 2010 1 - 7, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1195.34013
MathSciNet: MR2674391
Digital Object Identifier: 10.1155/2010/108651

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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