Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

被引：0
|
作者：
Chokkalingam Ravichandran
Dumitru Baleanu
机构：
[1] RVS Faculty of Engineering,Department of Mathematics
[2] Cankaya University,Department of Mathematics and Computer Science, Faculty of Arts and Sciences
[3] King Abdulaziz University,Department of Chemical and Materials Engineering, Faculty of Engineering
[4] Institute of Space Sciences,undefined
来源：
Advances in Difference Equations | / 2013卷
关键词：
fractional Calculus; Caputo fractional derivative; existence; fixed point theorem; measures of noncompactness;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators, Mönch’s fixed point theorem via measures of noncompactness. Particularly, we do not assume that characteristic solution operators are compact. The application is given to illustrate the theory. The results of this article are generalization and improvement of the recent results on this issue.
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