Stability Analysis of Distributed Order Fractional Differential Equations

被引：32

作者：

Najafi, H. Saberi ^{[1
]}

Sheikhani, A. Refahi ^{[1
]}

Ansari, A. ^{[2
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Appl Math, Rasht, Iran

[2] Shahrekord Univ, Fac Sci, Dept Math, Shahrekord, Iran

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

SMALLEST LARGEST EIGENVALUES; VECTOR ITERATION METHOD; IONOSPHERE SYSTEM; DIFFUSION; CALCULUS; CHAOS; MODEL; PAIR;

D O I：

10.1155/2011/175323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：12

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