Fractional Differential Equations. Polynomial Eigenvalue Problems. Examples. Conclusions and Outlook. References. The Appearance of kâth order polynomial.
Fractional Differential Equations
Polynomial Eigenvalue Problems
Examples
Conclusions and Outlook
References
The Appearance of k −th order polynomial eigenvalue problems when damping is modeled by fractional derivatives
Nils Wagner Institut für Angewandte und Experimentelle Mechanik Universität Stuttgart
Third Berlin-Manchester Workshop on Nonlinear Eigenvalue Problems, University of Manchester, March 22-23, 2007
Fractional Differential Equations
Polynomial Eigenvalue Problems
Outline Fractional Differential Equations Introduction Polynomial Eigenvalue Problems Chu’s Homotopy Examples A SDOF system A MDOF system Conclusions and Outlook References
Examples
Conclusions and Outlook
References
Fractional Differential Equations
Polynomial Eigenvalue Problems
Examples
Conclusions and Outlook
References
Definition Fractional Differential Equations ¨ + C Dα u + K u = 0, Mu
M, C, K ∈ Rn×n .
(1)
Riemann-Liouville definition 1 d D u(t) = Γ(1 − α) dt α
