%0 Journal Article %T Analytic study on linear systems of distributed order fractional differential equations %A Amirhossein Refahi %A A. Ansari %A H. Saberi Najafi %A Farshid Merhdoust %J Le Matematiche %D 2012 %I University of Catania %X 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. %K Distributed fractional systems %K Inertia of matrices %K Stabilization %K Invariant factors %K Density function %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/841