Cauchy problem for fractional evolution equations with Caputo derivative

被引：11

作者：

Zhou, Y. ^{[1
]}

Shen, X. H. ^{[1
]}

Zhang, L. ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2013年 / 222卷 / 08期

关键词：

DIFFERENTIAL-EQUATIONS; DIFFUSION-EQUATIONS; EXISTENCE THEOREMS; WAVE-EQUATIONS; ORDER;

D O I：

10.1140/epjst/e2013-01961-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper concerns the abstract nonlocal Cauchy problem of a class of fractional evolution equations with Caputo derivative. A suitable mild solution of evolution equations with Caputo derivative is introduced. In the cases C (0) semigroup is compact or noncompact, the existence theorems of mild solutions for the nonlocal Cauchy problem are established by means of fractional calculus, theory of Hausdorff measure of noncompactness and fixed point theorems.

引用

页码：1749 / 1765

页数：17

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