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.

引用

页码：323 / 345

页数：23

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