On Fractional Neutral Integro-differential Systems with State-dependent Delay in Banach Spaces

被引：1
|
作者：
Kailasavalli, S. [1 ,3 ]
Suganya, S. [2 ]
Arjunan, M. Mallika [2 ]
机构：
[1] PSNA Coll Engn & Technol, Dept Math, Dindigul 624622, Tamil Nadu, India
[2] CBM Coll, Dept Math, Coimbatore 641042, Tamil Nadu, India
[3] Bharathiar Univ, Res & Dev Ctr, Coimbatore, Tamil Nadu, India
来源：
FUNDAMENTA INFORMATICAE | 2017年 / 151卷 / 1-4期
关键词：
Fractional order differential equations; state-dependent delay; Banach fixed point theorem; resolvent operators; semigroup theory; BOUNDARY-VALUE PROBLEM; APPROXIMATE CONTROLLABILITY; INFINITE DELAY; EXISTENCE; EQUATIONS; INCLUSIONS;
D O I：
10.3233/FI-2017-1482
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Based on concepts for semigroups, fractional calculus, resolvent operator and Banach contraction principle, this manuscript is principally involved with existence results for fractional neutral integro-differential systems with state-dependent delay in Banach spaces. To acquire the main results, our working concepts are that the functions deciding the equation fulfill certain Lipschitz conditions of local type which is similar to the hypotheses [1]. Finally an examples are additionally offered to exhibit the achieved hypotheses.
引用
收藏
页码：109 / 133
页数：25
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