FUNDAMENTAL SOLUTION OF THE MODEL EQUATION OF ANOMALOUS DIFFUSION OF FRACTIONAL ORDER

被引：3

作者：

Khushtova, F. G. ^{[1
]}

机构：

[1] Inst Appl Math & Automat, Dept CAD Mixed Syst & Management, 89 A Shortanova St, Nalchik 360000, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2015年 / 19卷 / 04期

关键词：

anomalous diffusion; diffusion fractional order; Riemann-Liouville operator; fundamental solution; general representation of solution; modified Bessel function; Wright function; integral transformation with Wright function in kernel;

D O I：

10.14498/vsgtu1445

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fundamental solution of the model equation of anomalous diffusion with Riemann-Liouville operator is constructed. Using the properties of the integral transformation with Wright function in kernel, we give estimates for the fundamental solution. When the considered equation transformes into the diffusion equation of fractional order, constructed fundamental solution goes into the corresponding fundamental solution of the diffusion equation of fractional order. General solution of the model equation of anomalous diffusion of fractional order is constructed.

引用

页码：722 / 735

页数：14

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