Stability Analysis of Distributed Order Fractional Differential Equations

H. Saberi Najafi, A. Refahi Sheikhani and A. Ansari

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. In this sense, we discover a robust stability condition for these systems based on characteristic function and new inertia concept of a matrix with respect to the density function. Moreover, we check the stability of a distributed order fractional WINDMI system to illustrate the validity of proposed procedure.

Date: 2011
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https://doi.org/10.1155/2011/175323

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:175323

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