ABSTRACT CAUCHY PROBLEM FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Zhou, Yong ^{[1
]}

Jiao, Feng ^{[2
]}

Pecaric, Josip ^{[3
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

[2] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China

[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2013年 / 42卷 / 01期

关键词：

Fractional functional differential equations; Banach spaces; measure of noncompactness; existence; continuation; EXISTENCE; UNIQUENESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the existence and continuation of solutions for the Cauchy initial value problem of fractional functional differential equations in an arbitrary Banach space is discussed under hypotheses based on Caratheodory condition and the measure of noncompactness. In addition, an example is given to show that the criteria on existence of solutions for the initial value problem of fractional differential equations in finite-dimensional spaces may not be true in infinite-dimensional cases.

引用

页码：119 / 136

页数：18

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