Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709969 | Applied Mathematics Letters | 2009 | 6 Pages |
Abstract
We propose a (new) definition of a fractional Laplace’s transform, or Laplace’s transform of fractional order, which applies to functions which are fractional differentiable but are not differentiable, in such a manner that they cannot be analyzed by using the Djrbashian fractional derivative. After a short survey on fractional analysis based on the modified Riemann–Liouville derivative, we define the fractional Laplace’s transform. Evidence for the main properties of this fractal transformation is given, and we obtain a fractional Laplace inversion theorem.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Guy Jumarie,