Existence Results For Impulsive Fractional Neutral Integro-Differential Equations With Nonlocal Conditions

Authors

A. Sivasankari, Department of Mathematics, Anna University Regional Campus, Coimbatore-641 046, Tamil Nadu, IndiaFollow
A. Leelamani, Department of Mathematics, Anna University Regional Campus, Coimbatore-641 046, Tamil Nadu, IndiaFollow
Dumitru Baleanu, Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania.Follow

Author Country (or Countries)

India

Abstract

We present a new prospective of the existence of a mild solution for impulsive fractional neutral integro-differential equations with nonlocal conditions in Banach spaces. In light of ideas for Banach contraction principle and Krasnoselskii-Schaefer’s fixed point theorem, we build up the existence results with resolvent operator and η -norm. At last, a case is given to represent the acquired outcomes .

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120107

Recommended Citation

Sivasankari, A.; Leelamani, A.; and Baleanu, Dumitru (2018) "Existence Results For Impulsive Fractional Neutral Integro-Differential Equations With Nonlocal Conditions," Applied Mathematics & Information Sciences: Vol. 12: Iss. 1, Article 7.
DOI: http://dx.doi.org/10.18576/amis/120107
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss1/7