Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507122 | Applied Mathematics and Computation | 2005 | 23 Pages |
Abstract
In a previous paper, we defined, following a previous work of Kolvankar and Gangal, a notion of α-derivative, 0<α<1. In this article, we study α-differential equations associated to our fractional calculus. We then discuss a fundamental problem concerning the Schrödinger equation in the framework of Nottale's scale relativity theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fayçal Ben Adda, Jacky Cresson,