Analytic study on linear systems of distributed order fractional differential equations

Analytic study on linear systems of distributed order fractional differential equations

In this paper we introduce the distributed order fractional  differential equations (DOFDE) with respect to the nonnegative density function. We generalize the inertia and characteristics polynomial  concepts of pair $(A,B)$ with respect to the nonnegative density function. We also give generalizati...

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Bibliographic Details
Main Authors: Amirhossein Refahi, A. Ansari, H. Saberi Najafi, Farshid Merhdoust
Format: Article
Language:English
Published: Università degli Studi di Catania 2012-11-01
Series:Le Matematiche
Subjects:
Distributed fractional systems
Inertia of matrices
Stabilization
Invariant factors
Density function
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/841
Description
Summary:In this paper we introduce the distributed order fractional  differential equations (DOFDE) with respect to the nonnegative density function. We generalize the inertia and characteristics polynomial  concepts of pair $(A,B)$ with respect to the nonnegative density function. We also give generalization of the invariant factors of a matrix and some inertia theorems for analyzing the stability of the DOFDE systems.
ISSN:0373-3505
2037-5298

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