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

被引：21
|
作者：
Ravichandran, Chokkalingam [1 ]
Baleanu, Dumitru [2 ,3 ,4 ]
机构：
[1] RVS Fac Engn, Dept Math, Coimbatore 641402, Tamil Nadu, India
[2] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[3] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21413, Saudi Arabia
[4] Inst Space Sci, R-76900 Magurele, Romania
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
fractional Calculus; Caputo fractional derivative; existence; fixed point theorem; measures of noncompactness; DIFFERENTIAL-EQUATIONS;
D O I：
10.1186/1687-1847-2013-215
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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, Monch'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. MSC: 26A33, 34A12, 47H08, 47H10.
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页数：12
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