Existence results for an impulsive neutral integro-differential equations in Banach spaces

Author:

Usha Venkatesh1,Baleanu Dumitru2,Arjunan Mani Mallika3

Affiliation:

1. Department of Mathematics , PSG College of Arts & Science , Coimbatore - 641 014 , Tamil Nadu, India

2. Department of Mathematics, Faculty of Art and Sciences , Cankaya University , 06530 Ankara , Turkey and Institute of Space Sciences , Magurele- Bucharest , Romania .

3. Department of Mathematics , C. B. M. College , Kovaipudur, Coimbatore - 641 042 , Tamil Nadu, India .

Abstract

Abstract In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.

Publisher

Walter de Gruyter GmbH

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