A Note on Fractional Evolutionary Equations
Analysis of PDEs
2013-04-10 v3 Dynamical Systems
Abstract
A class of linear evolutionary equations with material laws involving fractional time-derivatives is considered. The main result is well-posedness and causality for this problem class. The approach is illustrated with two examples: a fractional Fokker-Planck type equation and a class of visco-elastic materials described via fractional derivatives. In conclusion the possibility of imposing initial conditions is discussed.
Cite
@article{arxiv.1301.6234,
title = {A Note on Fractional Evolutionary Equations},
author = {Rainer Picard},
journal= {arXiv preprint arXiv:1301.6234},
year = {2013}
}
Comments
correction to footnote replacing -\alpha by \alpha in some places Paper has been withdrawn due to a crucial error in the positivity estimates