Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay

V Vijayakumar, SK Panda, KS Nisar… - … Methods for Partial …, 2021 - Wiley Online Library
In this article, we determine a set of appropriate conditions for approximate controllability of
second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite …

Results on neutral partial integrodifferential equations using Monch-Krasnosel'Skii fixed point theorem with nonlocal conditions

C Ravichandran, K Munusamy, KS Nisar… - Fractal and …, 2022 - mdpi.com
In this theory, the existence of a mild solution for a neutral partial integrodifferential nonlocal
system with finite delay is presented and proved using the techniques of the Monch …

A note on approximate controllability of second‐order neutral stochastic delay integro‐differential evolution inclusions with impulses

S Sivasankar, R Udhayakumar - Mathematical Methods in the …, 2022 - Wiley Online Library
In this work, we offer a set of appropriate conditions for the approximate controllability of
second‐order impulsive neutral stochastic integro‐differential evolution inclusions with …

Mathematical models with nonlocal initial conditions: An exemplification from quantum mechanics

D Sytnyk, R Melnik - Mathematical and Computational Applications, 2021 - mdpi.com
Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly
expanding range of mathematical and computational applications due to the ability of such …

Retarded stochastic differential equations with infinite delay driven by Rosenblatt process

R Sakthivel, P Revathi, Y Ren… - Stochastic analysis and …, 2018 - Taylor & Francis
Hermite processes are self-similar processes with stationary increments, the Hermite
process of order 1 is fractional Brownian motion and the Hermite process of order 2 is the …

Approximate controllability of second-order non-autonomous stochastic impulsive differential systems

V Singh, R Chaudhary, DN Pandey - Stochastic Analysis and …, 2020 - Taylor & Francis
This paper is concerned with existence, uniqueness, and approximate controllability of mild
solutions to second-order non-autonomous stochastic impulsive differential systems. The …

[HTML][HTML] A note on approximate controllability of second-order impulsive stochastic Volterra-Fredholm integrodifferential system with infinite delay

YK Ma, M Johnson, V Vijayakumar, T Radhika… - Journal of King Saud …, 2023 - Elsevier
This manuscript examines the approximate controllability of a second-order stochastic
Volterra-Fredholm integrodifferential system including delay and impulses. Primarily, by …

Mild solutions of second-order semilinear impulsive differential inclusions in Banach spaces

M Pavlačková, V Taddei - Mathematics, 2022 - mdpi.com
In this paper, the existence of a mild solution to the Cauchy problem for impulsive semilinear
second-order differential inclusion in a Banach space is investigated in the case when the …

Measures of noncompactness in spaces of regulated functions with application to semilinear measure driven equations

Y Cao, J Sun - Boundary Value Problems, 2016 - Springer
We investigate the existence of mild solutions for abstract semilinear measure driven
equations with nonlocal conditions. We first establish some results on Kuratowski measure …

An analysis concerning approximate controllability results for second-order Sobolev-type delay differential systems with impulses

KS Nisar, V Vijayakumar - Journal of Inequalities and Applications, 2022 - Springer
This paper is devoted to studying the approximate controllability for second-order impulsive
differential inclusions with infinite delay. For proving the main results, we use the results …