Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference

Coşkun Yakar

Abstract and Applied Analysis, 2010, vol. 2010, 1-16

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:762857

DOI: 10.1155/2010/762857

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