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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Approximate Controllability Results for Impulsive Partial Functional Nonlocal Integro-differential Evolution Systems through Resolvent Operators

Discontinuity, Nonlinearity, and Complexity 7(3) (2018) 305--325 | DOI:10.5890/DNC.2018.09.008

Mahalingam Nagaraj$^{1}$, Selvaraj Suganya$^{2}$, Dumitru Baleanu$^{3}$, Mani Mallika Arjunan$^{2}$

$^{1}$ Department of Mathematics, Nadar Saraswathi College of Engineering & Technology, Theni-625531, Tamil Nadu, India

$^{2}$ Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641042, Tamil Nadu, India

$^{3}$ Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey, and Institute of Space Sciences, Magurele-Bucharest, Romania

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Abstract

This paper investigates the existence and approximate controllability results for a class of impulsive functional integro-differential evolution systems with nonlocal conditions via resolvent operators in Banach spaces. By making utilization of Banach contraction principle and Schaefer’s fixed point theorem along with resolvent operators and semigroup theory, we build up the desired results. As an application, we also consider an impulsive partial functional integro-differential equations.

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