On some impulsive fractional neutral differential systems with nonlocal condition through fractional operators
Arumugam Anuradha
Department of Mathematics, C.B.M. College, Kovaipudur, Coimbatore- 641042, Tamil Nadu, India.
Dumitru Baleanu
Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania.
Selvaraj Suganya
Department of Mathematics, C.B.M. College, Kovaipudur, Coimbatore- 641042, Tamil Nadu, India.
Mani Mallika Arjunan
Department of Mathematics, C. B. M. College, Kovaipudur,
Coimbatore - 641 042, Tamil Nadu, India.
Abstract
According to semigroup theories, fractional calculus, Banach contraction principle and Sadovskii fixed point theorem, this paper is fundamentally involved with the existence of mild solutions for an impulsive fractional neutral differential systems (abbreviated, IFNDS) with nonlocal conditions (abbreviated, NLC) in Banach space $\x$. At last, an illustration is also presented to exhibit the use of our theoretical results.