Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901977 | Journal of Computational and Applied Mathematics | 2018 | 22 Pages |
Abstract
In this paper, it is shown that neither Riemann-Liouville's nor Caputo's definitions can be used to properly take into account initial conditions in the description of a fractional partial differential equation. This demonstration is done on a counterexample. Some suggestions are made to address this problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jocelyn Sabatier, Christophe Farges,