Model Order Reduction on Krylov Subspaces for Fractional Linear Systems

In this work we investigate the application of some model order reduction techniques, based on Krylov subspace methods, to large linear time--invariant systems of fractional order. Theoretical and technical aspects are discussed. The effectiveness of the proposed approach is verified by numerical simulations on a test problem describing the heat conduction in electro--thermal processes involved in micro--electromechanical systems. An application in a parameter identification problem is also presented.