Approximate controllability of hybrid hilfer fractional differential inclusions with non-instantaneous impulses

A Boudjerida, D Seba - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper deals with the approximate controllability of a class of non-instantaneous
impulsive hybrid systems for fractional differential inclusions under Hilfer derivative of order …

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 …

[HTML][HTML] New finite-time stability result for a class of Itô-Doob stochastic fractional order systems

H Arfaoui, AB Makhlouf, L Mchiri, M Rhaima - Alexandria Engineering …, 2023 - Elsevier
In this article, we study the Finite-Time Stability (FTS) of Linear Stochastic Fractional
Differential Equations of Itô-Doob Type with Delay (LSFDEIDTwD) for a derivative order …

[HTML][HTML] Impulsive second order control differential equations: Existence and approximate controllability

V Vijayakumar, KS Nisar, MK Shukla… - Journal of King Saud …, 2023 - Elsevier
The primary focus of this manuscript is on the approximate controllability of second-order
semilinear control systems with impulses. There have been two sets of necessary …

[HTML][HTML] A New Approach to Hyers-Ulam Stability of -Variable Quadratic Functional Equations

V Govindan, P Hammachukiattikul… - Journal of Function …, 2021 - hindawi.com
In this paper, we investigate the general solution of a new quadratic functional equation of
the form∑ 1≤ i< j< k≤ r ϕ li+ lj+ lk= r− 2∑ i= 1, i≠ jr ϕ li+ lj+− r 2+ 3 r− 2/2∑ i= 1 r ϕ li. We …

Approximate controllability for Hilfer fractional stochastic differential systems of order 1< μ< 2

J Pradeesh, V Vijayakumar - Journal of Control and Decision, 2024 - Taylor & Francis
In this paper, we analyse the approximate controllability of Hilfer fractional stochastic
differential systems of order 1< μ< 2 in Hilbert spaces. The primary findings are carried out …

[PDF][PDF] Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems

YK Ma, K Kumar, R Kumar, R Patel, A Shukla… - AIMS Math, 2022 - aimspress.com
In the present work, we have established sufficient conditions for boundary controllability of
nonlocal fractional neutral integrodifferential evolution systems with time-varying delays in …

Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in 0< H< …

H Zhao, J Zhang, J Lu, J Hu - Communications in Nonlinear Science and …, 2024 - Elsevier
In this study, we primarily employ the principle of contraction mapping to establish the
approximate controllability and existence of optimal control for a multi-delay stochastic …

Controllability of nonlinear fractional evolution systems in Banach spaces: A survey

Z Daliang, L Yansheng - Electronic Research Archive, 2021 - aimsciences.org
This paper presents a survey for some recent research on the controllability of nonlinear
fractional evolution systems (FESs) in Banach spaces. The prime focus is exact …

Approximate controllability for mixed type non-autonomous fractional differential equations

B Zhu, B Han - Qualitative theory of dynamical systems, 2022 - Springer
In this paper, we discuss the approximate controllability for mixed type non-autonomous
fractional differential equations. By using the Schauder fixed point theorem and two …