Bull. Korean Math. Soc. 2018; 55(4): 1065-1092
Online first article April 25, 2018 Printed July 31, 2018
https://doi.org/10.4134/BKMS.b170531
Copyright © The Korean Mathematical Society.
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
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.
Keywords: impulsive conditions, nonlocal conditions, integro-differential equations, semigroup theory, cosine family, fixed point
MSC numbers: 93B05, 34A37, 34B10, 35R10
2024; 61(2): 557-584
2023; 60(5): 1295-1298
2023; 60(3): 659-675
2018; 55(6): 1921-1930
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd