Registration – Thursday
8:30 – 9:00, at the conference venue
Rudolf Hilfer (Germany)
Anomalous Bochner-Levy-Riesz Diffusion
Anomalous Bochner-Levy-Riesz diffusion arises from ordinary diffusion by replacing the Laplacean with a noninteger power of itself. Bochner-Levy-Riesz diffusion as a fractional mathematical model leads to nonlocal boundary value problems. As a physical model for nonequilibrium transport processes it seems to predict phenomena that have yet to be observed in experiment.
Tadeusz Kaczorek (Poland)
Positivity and stability of standard and descriptor fractional linear systems with interval state matrices
Some extensions of the Kharitonov theorem to positive fractional discrete-time and continuous-time linear systems with interval state matrices will be proposed. Stability of these linear systems will be also discussed. The considerations will be illustrated by numerical examples.
Małgorzata Klimek (Poland)
Homogenous boundary conditions and the spectral properties of fractional eigenvalue problems
We consider fractional versions of the homogeneous boundary conditions for regular Sturm-Liouville problem (FSLP). It is a known fact that the FSLP in the variational formulation yields real eigenvalues and orthogonal eigenfunctions. Applying the homogeneous boundary conditions we arrive at the FSLP with the purely atomic real spectrum and the eigenfunctions’ system being the basis in the respective Hilbert space. We shall discuss the solution of the 1D time-space fractional diffusion problem in a bounded domain to illustrate the application of the obtained spectral results.