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.

Published
Aug 26, 2017
How to Cite
ANURADHA, Arumugam et al. On some impulsive fractional neutral differential systems with nonlocal condition through fractional operators. Nonlinear Studies, [S.l.], v. 24, n. 3, p. 575-590, aug. 2017. ISSN 2153-4373. Available at: <http://nonlinearstudies.com/index.php/nonlinear/article/view/1387>. Date accessed: 15 dec. 2017.