On boundary values of fractional resolvent families

被引：12

作者：

Chen, Chuang ^{[1
]}

Li, Miao ^{[1
]}

Li, Fu-Bo ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 384卷 / 02期

关键词：

Fractional resolvent families; Boundary values; Fractional powers of generators; Approximations; VOLTERRA-EQUATIONS; COSINE FUNCTIONS; SPACES;

D O I：

10.1016/j.jmaa.2011.05.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Boundary values of analytic fractional resolvent families are deduced via the approximation of fractional powers of operators, and square root reductions of fractional resolvent families are given as well. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：453 / 467

页数：15

共 27 条

[1]

[Anonymous], 1980, Rend. Semin. Mat. Univ. Padova

[2]

[Anonymous], 2006, THEORY APPL FRACTION

[3]

Arendt W., 2001, Vector-Valued Laplace Transforms and Cauchy Problems

[4] BROWNIAN SUBORDINATORS AND FRACTIONAL CAUCHY PROBLEMS [J].

Baeumer, Boris ;

Meerschaert, Mark M. ;

Nane, Erkan .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (07) :3915-3930

[5]

Bajlekova E., 2001, Fractional evolution equations in Banach spaces

[6] The fractional-order governing equation of Levy motion [J].

Benson, DA ;

Wheatcraft, SW ;

Meerschaert, MM .

WATER RESOURCES RESEARCH, 2000, 36 (06) :1413-1423

[7] On fractional resolvent operator functions [J].

Chen, Chuang ;

Li, Miao .

SEMIGROUP FORUM, 2010, 80 (01) :121-142

[8]

Cioranescu I., 2001, Semigroup Forum, V63, P429

[9] UNIFORMLY BOUNDED COSINE FUNCTIONS IN HILBERT SPACE [J].

FATTORINI, HO .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1970, 20 (05) :411-+

[10] ORDINARY DIFFERENTIAL EQUATIONS IN LINEAR TOPOLOGICAL SPACE .2. [J].

FATTORINI, HO .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 6 (01) :50-+

← 1 2 3 →