Discontinuity, Nonlinearity, and Complexity
Approximate Controllability Results for Impulsive Partial Functional Nonlocal Integrodifferential Evolution Systems through Resolvent Operators
Discontinuity, Nonlinearity, and Complexity 7(3) (2018) 305325  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, Theni625531, 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, MagureleBucharest, Romania
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Abstract
This paper investigates the existence and approximate controllability results for a class of impulsive functional integrodifferential 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 integrodifferential equations.
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