Approximate controllability of delayed fractional stochastic differential systems with mixed noise and impulsive effects

N Hakkar, R Dhayal, A Debbouche, DFM Torres - Fractal and Fractional, 2023 - mdpi.com
We herein report a new class of impulsive fractional stochastic differential systems driven by
mixed fractional Brownian motions with infinite delay and Hurst parameter H^∈(1/2, 1) …

Dynamics analysis of a predator–prey model with nonmonotonic functional response and impulsive control

W Li, Y Zhang, L Huang - Mathematics and Computers in Simulation, 2023 - Elsevier
This paper presents the qualitative analysis of a predator–prey model with nonmonotonic
functional response and impulsive effects. Different from previous work, by considering two …

Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative

W Chen, Y Liu, D Zhao - Chaos, Solitons & Fractals, 2024 - Elsevier
This paper is concerned with a class of stochastic impulsive evolution system with the
fractional substantial derivative of the order α∈(1, 2). We introduce the fractional substantial …

On approximate controllability of non-autonomous measure driven systems with non-instantaneous impulse

S Kumar - Applied Mathematics and Computation, 2023 - Elsevier
It is known that the systems without any restriction on their Zeno behavior are immersed in
an enormous type of hybrid system. This article deals with the concept of approximate …

Approximate controllability of evolution hemivariational inequalities in Banach spaces

B Kumbhakar, DN Pandey - Journal of Differential Equations, 2024 - Elsevier
In this paper, we discuss the approximate controllability of control problems governed by
evolution hemivariational inequalities in super-reflexive Banach spaces by preassuming the …

Approximate controllability of fractional order non-instantaneous impulsive functional evolution equations with state-dependent delay in Banach spaces

S Arora, MT Mohan, J Dabas - IMA Journal of Mathematical …, 2022 - academic.oup.com
This paper deals with the control problems governed by fractional impulsive functional
evolution equations with state-dependent delay involving Caputo fractional derivatives in …

Optimal control of fractional non-autonomous evolution inclusions with Clarke subdifferential

X Li, X Liu, F Long - Fractional Calculus and Applied Analysis, 2024 - Springer
In this paper, the non-autonomous fractional evolution inclusions of Clarke subdifferential
type in a separable reflexive Banach space are investigated. The mild solution of the non …

Controllability problems of a neutral integro-differential equation with memory

S Arora, A Nandakumaran - arXiv preprint arXiv:2407.07886, 2024 - arxiv.org
The current study addresses the control problems posed by a semilinear neutral integro-
differential equation with memory. The primary objectives of this study are to investigate the …

Total controllability of non-autonomous measure evolution systems with non-instantaneous impulses and state-dependent delay

Y Wang, Y Liu, Y Liu - Mathematics, 2022 - mdpi.com
This paper is concerned with the existence of mild solutions and total controllability for a
class of non-autonomous measure evolution systems with non-instantaneous impulses and …

On the Faedo–Galerkin Method for Non-autonomous Nonlinear Differential Systems

S Kumar, P Sharma - Results in Mathematics, 2023 - Springer
This article contemplates a non-autonomous nonlinear differential system in a separable
Hilbert space X. The projection operators are used to confine our concern to a finite …