Stability Analysis of Distributed Order Fractional Differential Equations | Zendy

H. Saberi Najafi | Zendy; A. H. Refahi Sheikhani | Zendy; Alireza Ansari | Zendy

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Stability Analysis of Distributed Order Fractional Differential Equations

Author(s) -

H. Saberi Najafi,

A. H. Refahi Sheikhani,

Alireza Ansari

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/175323

Subject(s) - mathematics , stability (learning theory) , order (exchange) , differential equation , function (biology) , inertia , mathematical analysis , computer science , physics , finance , classical mechanics , machine learning , evolutionary biology , economics , biology

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

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