Fractional differential equations and the Schrodinger equation

被引：46
|
作者：
Ben Adda, F
Cresson, J
机构：
[1] Univ Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-2503 Besancon, France
[2] King Fahd Univ Petr & Minerals, Hail Community Coll, Dept Math Sci, Hail, Saudi Arabia
[3] ISMANS, F-72000 Le Mans, France
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 161卷 / 01期
关键词：
D O I：
10.1016/j.amc.2003.12.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a previous paper, we defined, following a previous work of Kolvankar and Gangal, a notion of alpha-derivative, 0 < alpha < 1. In this article, we study alpha-differential equations associated to our fractional calculus. We then discuss a fundamental problem concerning the Schrodinger equation in the framework of Nottale's scale relativity theory. (C) 2004 Elsevier Inc. All rights reserved.
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页码：323 / 345
页数：23
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