Correctness of Cauchy-Type Problems for Abstract Differential Equations with Fractional Derivatives

被引:0
作者
Glushak, A. V. [1 ]
机构
[1] Belgorod State Univ, Ul Studencheskaya 14, Belgorod 308007, Russia
基金
俄罗斯基础研究基金会;
关键词
equations of fractional order; uniform correctness of Cauchy-type problem; resolving operator;
D O I
10.3103/S1066369X09090023
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the uniform correctness of a Cauchy-type problem with two fractional derivatives and a bounded operator A. We propose a criterion for the uniform correctness of unbounded operator A.
引用
收藏
页码:10 / 19
页数:10
相关论文
共 22 条
[1]   VECTOR-VALUED LAPLACE TRANSFORMS AND CAUCHY-PROBLEMS [J].
ARENDT, W .
ISRAEL JOURNAL OF MATHEMATICS, 1987, 59 (03) :327-352
[2]  
BATEMAN H, 1953, HIGHER TRANSCENDENTA, V3
[3]  
BATEMAN H, 1965, HIGHER TRANSCENDENTA, V1
[4]  
Clement P, 2001, LECT NOTES PURE APPL, V215, P235
[5]  
Diestel J., 1977, MATH SURVEYS, V15, P322
[6]  
Dzhumabaev DS, 2002, MATHEM J, V2, P61
[7]  
Glushak A.V., 2002, VESTN VORONEZH GOS U, P121
[8]  
Glushak A.V., 2003, VESTN VGU FM, P96
[9]  
Glushak A.V., 2004, SPECTRAL EVOLUTION P, V14, P163
[10]  
Glushak A.V., 2005, MAT ZAMETKI, V77, P28