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2010 Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference
Coşkun Yakar
Abstr. Appl. Anal. 2010: 1-16 (2010). DOI: 10.1155/2010/762857

Abstract

The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has been investigated. We compare the classical notion of stability to the notion of initial time difference stability for fractional-order differential equations in Caputo's sense. We present a comparison result which again gives the null solution a central role in the comparison fractional-order differential equation when establishing initial time difference stability of the perturbed fractional-order differential equation with respect to the unperturbed fractional-order differential equation.

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Coşkun Yakar. "Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference." Abstr. Appl. Anal. 2010 1 - 16, 2010. https://doi.org/10.1155/2010/762857

Information

Published: 2010
First available in Project Euclid: 2 March 2010

MathSciNet: MR2595165
zbMATH: 1196.34010
Digital Object Identifier: 10.1155/2010/762857

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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