Green's formula for integro-differential operators

被引：8

作者：

Tokmagambetov, Niyaz ^{[1
,2
]}

Torebek, Berikbol T. ^{[1
,2
]}

机构：

[1] Al Farabi Kazakh Natl Univ, 71 Al Farabi Ave, Alma Ata 050040, Kazakhstan

[2] Inst Math & Math Modeling, 125 Pushkin St, Alma Ata 050010, Kazakhstan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 468卷 / 01期

关键词：

Caputo derivative; Rjemann-Liouville derivative; Self-adjoint problem; Fractional order differential equation; Fractional Sturm-Liouville operator; Extension theory; TIME FRACTIONAL DIFFUSION;

D O I：

10.1016/j.jmaa.2018.08.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this report we establish Green's formula for an integro-differential operator, and apply it to describe a class of self-adjoint fractional order differential operators. A found symmetric fractional order Caputo-Riemann-Liouville type operator can be considered as a fractional analogue of the classical Sturm-Liouville operator in some sense. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：473 / 479

页数：7

共 15 条

[1]

Agarwal P, 2017, APPL NUMER HARMON AN, P707, DOI 10.1007/978-3-319-55556-0_9

[2]

[Anonymous], 2006, THEORY APPL FRACTION

[3] Space-time fractional diffusion on bounded domains [J].