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

被引：0
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作者：
Selvaraj Suganya
Dumitru Baleanu
Palaniyappan Kalamani
Mani Mallika Arjunan
机构：
[1] C.B.M. College,Department of Mathematics
[2] Cankaya University,Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences
[3] Institute of Space Sciences,undefined
来源：
Advances in Difference Equations | / 2015卷
关键词：
fractional order differential equations; non-instantaneous impulse conditions; state-dependent delay; fixed point theorem; semigroup theory; 26A33; 34A12; 34K05; 34A37;
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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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