Browsing by Author "Nagaraj, Mahalingam"

Now showing 1 - 3 of 3

Approximate Controllability of Second-Order Nonlocal Impulsive Functional Integro-Differential Systems in Banach Spaces
(Korean Mathematical Soc, 2018) Baleanu, Dumitru; Baleanu, Dumitru; Arjunan, Mani Mallika; Nagaraj, Mahalingam; Suganya, Selvaraj; 56389
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.
Approximate Controllability of Second-Order Nonlocal Impulsive Partial Functional Integro-Differential Evolution Systems in Banach Spaces
(University of Nis, 2019) Baleanu, Dumitru; Suganya, Selvaraj; Baleanu, Dumitru; Arjunan, Mani Mallika; 56389
This manuscript is involved with a class of second-order impulsive partial functional integro-differential evolution equations with nonlocal conditions in Banach spaces. Sufficient conditions ensuring the existence and approximate controllability of mild solutions are established. Theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem are employed for achieving the required results. An example is analyzed to illustrate the effectiveness of the outcome. © 2019, University of Nis. All rights reserved.
Approximate Controllability Results for Impulsive Partial Functional Nonlocal Integro-Differential Evolution Systems Through Resolvent Operators
(L and H Scientific Publishing, LLC, 2018) Baleanu, Dumitru; Suganya, Selvaraj; Baleanu, Dumitru; Arjunan, M. Mallika; 56389
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.