Abstract and Applied Analysis

Razumikhin Stability Theorem for Fractional Systems with Delay

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

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Abstract

Fractional calculus techniques and methods started to be applied successfully during the last decades in several fields of science and engineering. In this paper we studied the stability of fractional-order nonlinear time-delay systems for Riemann-Liouville and Caputo derivatives and we extended Razumikhin theorem for the fractional nonlinear time-delay systems.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 124812, 9 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620722

Digital Object Identifier
doi:10.1155/2010/124812

Mathematical Reviews number (MathSciNet)
MR2652391

Zentralblatt MATH identifier
1197.34157

Citation

Baleanu, D.; Sadati, S. J.; Ghaderi, R.; Ranjbar, A.; Abdeljawad (Maraaba), T.; Jarad, F. Razumikhin Stability Theorem for Fractional Systems with Delay. Abstr. Appl. Anal. 2010 (2010), Article ID 124812, 9 pages. doi:10.1155/2010/124812. https://projecteuclid.org/euclid.aaa/1288620722


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