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

Advances in Difference Equations

Dumitru Baleanu¹  Mani Mallika Arjunan²  Selvaraj Suganya²  Palaniyappan Kalamani³ 

[1] Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey;Department of Mathematics, C.B.M. College, Coimbatore, India;Institute of Space Sciences, Magurele-Bucharest, Romania

关键词: fractional order differential equations;    non-instantaneous impulse conditions;    state-dependent delay;    fixed point theorem;    semigroup theory;    26A33;    34A12;    34K05;    34A37;   

DOI  :  10.1186/s13662-015-0709-y

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY