SERIES SOLUTION OF A NONLOCAL PROBLEM FOR A TIME-FRACTIONAL DIFFUSION-WAVE EQUATION WITH DAMPING

被引：0

作者：

Bazhlekova, Emilia ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2013年 / 66卷 / 08期

关键词：

time-fractional diffusion-wave equation; Caputo fractional derivative; nonlocal boundary condition; three-parameter Mittag-Leffler function; EXPLICIT SOLUTION;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

One-dimensional time-fractional diffusion-wave equation with damping is studied on a bounded space domain. One of the prescribed boundary conditions is nonlocal. The unique solution is constructed in the form of a series expansion in terms of the generalized eigenfunctions of a non-selfadjoint Sturm-Liouville problem and three-parameter Mittag-Leffler functions.

引用

页码：1091 / 1096

页数：6

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