Abstract and Applied Analysis

Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

S. J. Sadati, D. Baleanu, A. Ranjbar, R. Ghaderi, and T. Abdeljawad (Maraaba)

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 108651, 7 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620755

Digital Object Identifier
doi:10.1155/2010/108651

Mathematical Reviews number (MathSciNet)
MR2674391

Zentralblatt MATH identifier
1195.34013

Citation

Sadati, S. J.; Baleanu, D.; Ranjbar, A.; Ghaderi, R.; Abdeljawad (Maraaba), T. Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay. Abstr. Appl. Anal. 2010 (2010), Article ID 108651, 7 pages. doi:10.1155/2010/108651. https://projecteuclid.org/euclid.aaa/1288620755


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