The Samarskii-lonkin type problem for the fourth order parabolic equation with fractional differential operator

被引：20

作者：

Berdyshev, A. S. ^{[1
]}

Cabada, A. ^{[2
]}

Kadirkulov, B. J. ^{[3
]}

机构：

[1] Kazakh Natl Pedag Univ Abai, Alma Ata, Kazakhstan

[2] Univ Santiago de Compostela, Santiago De Compostela, Spain

[3] Inst Oriental Studies, Tashkent, Uzbekistan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 10期

关键词：

Integro-differential operator; Fractional derivative; Samarskii-lonkin type problem; Eigenvalues and eigenfunctions; Riesz basis; Bi-orthonormal system; DIFFUSION-WAVE EQUATION;

D O I：

10.1016/j.camwa.2011.09.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work the Samarskii-lonkin type non-local problem with Caputo fractional order differential operator is studied. The considered problem generalizes some previous known problems formulated for some fourth order parabolic equations. We prove the existence and uniqueness of a regular solution of the formulated problem applying the method of separation of variables. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3884 / 3893

页数：10

共 20 条

[1] A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain [J].