Closed form of the solutions of some boundary-value problems for anomalous diffusion equation with Hilfer's generalized derivative

被引：16

作者：

Bulavatsky V.M. ^{[1
]}

机构：

[1] V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv

来源：

Cybernetics and Systems Analysis | 2014年 / 50卷 / 04期

关键词：

Anomalous diffusion; Boundary-value problems; Closed solutions; Differential equations of fractional order; Hilfer's fractional derivative;

D O I：

10.1007/s10559-014-9645-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of double-order fractional derivative generalizing the well-known Hilfer's derivative is introduced. The formula is given for the Laplace transform of double-order fractional derivative, which is used to solve the Cauchy-type problem for equations of fractional order with this derivative. The closed solutions to some boundary-value problems for the equation of anomalous diffusion with double-order fractional derivative in time are obtained. © 2014 Springer Science+Business Media New York.

引用

页码：570 / 577

页数：7

共 16 条

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