Riesz Fractional Derivatives and Fractional Dimensional Space

被引：53

作者：

Muslih, Sami I. ^{[1
,2
]}

Agrawal, Om P. ^{[1
]}

机构：

[1] So Illinois Univ, Dept Mech Engn, Carbondale, IL 62901 USA

[2] Al Azhar Univ, Dept Phys, Gaza, Israel

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2010年 / 49卷 / 02期

关键词：

Riesz fractional derivatives; Fractional space; Poisson's equation; CALCULUS; CHARGE; MODEL;

D O I：

10.1007/s10773-009-0200-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Fourier transform method is used to solve fractional Poisson's equation with Riesz fractional derivative of order alpha. It is shown that the solution is given in terms of the fractional dimensional space D. Gauss law for the electrostatic problem is given and the total electric flux is obtained in terms of alpha and D.

引用

页码：270 / 275

页数：6

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