FRACTIONAL ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES

被引：5

作者：

Li, Kexue ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2016年 / 47卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Fractional integrodifferential differention; fractional cosine family; fractional powers of operators; REGULARITY; EXISTENCE; OPERATORS;

D O I：

10.12775/TMNA.2016.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. Results are obtained by using the theory of fractional cosine families and fractional powers of operators.

引用

页码：439 / 455

页数：17

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