On the invariant solutions of space/time-fractional diffusion equations

被引：11

作者：

Bahrami, F. ^{[1
]}

Najafi, R. ^{[1
]}

Hashemi, M. S. ^{[2
]}

机构：

[1] Univ Tabriz, Fac Math & Comp Sci, Tabriz, Iran

[2] Univ Bonab, Basic Sci Fac, Dept Math, Bonab, Iran

来源：

INDIAN JOURNAL OF PHYSICS | 2017年 / 91卷 / 12期

关键词：

Space/time-fractional diffusion equation; Lie symmetry analysis; Exact solution; Riemann-Liouville derivative; LIE SYMMETRY ANALYSIS; NONCLASSICAL SYMMETRIES; ANOMALOUS DIFFUSION; CONSERVATION-LAWS; RANDOM-WALKS; TIME; CLASSIFICATION; MODELS;

D O I：

10.1007/s12648-017-1063-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the space/time-fractional diffusion equations using Lie symmetry analysis. We introduce a generalized nonclassical method that is applied to differential equations with fractional order. The existing methods give some classical symmetries while the nonclassical approach will retrieve other symmetries to these equations. New exact solutions to the fractional diffusion equations are found.

引用

页码：1571 / 1579

页数：9

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