Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type

Advances in Difference Equations

Fang Li¹ 

[1] School of Mathematics, Yunnan Normal University, Kunming, People's Republic of China

关键词: fractional integrodifferential equation;    mild solution;    finite delay;    nonlocal condition;    neutral type;    measure of noncompactness;   

DOI  :  10.1186/1687-1847-2012-47

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article concerns the existence of mild solutions for the fractional integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X. The existence of mild solutions is proved by means of measure of noncompactness. As an application, the existence of mild solutions for some integrodifferential equation is obtained. Mathematics Subject Classification: 34K05; 34A12.

【 授权许可】

CC BY