On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses

被引：28
|
作者：
Suganya, Selvaraj [1 ]
Baleanu, Dumitru [2 ,3 ]
Kalamani, Palaniyappan [1 ]
Arjunan, Mani Mallika [1 ]
机构：
[1] CBM Coll, Dept Math, Coimbatore 641042, Tamil Nadu, India
[2] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
关键词：
fractional order differential equations; non-instantaneous impulse conditions; state-dependent delay; fixed point theorem; semigroup theory; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; MILD SOLUTIONS; EXISTENCE; STABILITY; UNIQUENESS; DIMENSION; SET;
D O I：
10.1186/s13662-015-0709-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript, we work to actualize the Darbo Banas and Goebel in Measure of Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) fixed point theorem (FPT) coupled with the Hausdorff measure of non-compactness to analyze the existence results for an impulsive fractional neutral integro-differential equation (IFNIDE) with state- dependent delay (SDD) and non- instantaneous impulses (NII) in Banach spaces. Finally, examples are offered to demonstrate the concept.
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页码：1 / 39
页数：39
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