Approximate controllability of second-order nonlocal impulsive functional integro-differential systems in Banach spaces
Bull. Korean Math. Soc. 2018 Vol. 55, No. 4, 1065-1092 https://doi.org/10.4134/BKMS.b170531 Published online April 25, 2018 Printed July 31, 2018
Dumitru Baleanu, Mani Mallika Arjunan, Mahalingam Nagaraj, Selvaraj Suganya Cankaya University, C. B. M. College, Nadar Saraswathi College of Engineering & Technology, C. B. M. College
Abstract : This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.
