Analytic study on linear systems of distributed order fractional differential equations

  • Amirhossein Refahi University of Guilan
  • A. Ansari
  • H. Saberi Najafi
  • Farshid Merhdoust
Keywords: Distributed fractional systems, Inertia of matrices, Stabilization, Invariant factors, Density function


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.

Author Biography

Amirhossein Refahi, University of Guilan
Amir hosein refahi,  Ph.D. student, Applied Mathematics.
Department of Mathematics.
Faculty of Sciences,
University of Guilan,
Rasht, Iran.