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

Coşkun Yakar

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

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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https://doi.org/10.1155/2010/762857

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:762857

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