Results 11 to 20 of about 26,297 (256)

Controllability of Impulsive Neutral Fractional Stochastic Systems

Symmetry, 2022
The study of dynamic systems appears in various aspects of dynamical structures such as decomposition, decoupling, observability, and controllability. In the present research, we study the controllability of fractional stochastic systems (FSF) and examine the Poisson jumps in finite dimensional space where the fractional impulsive neutral stochastic ...
Qura Tul Ain, Muhammad Nadeem 0003, Ali Akgül, Manuel de la Sen   +3 more
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Discussion on the existence of mild solution for fractional derivative by Mittag–Leffler kernel to fractional stochastic neutral differential inclusions

Alexandria Engineering Journal, 2023
Fractional calculus is now used to accurately depict a range of real occurrences because it can explain the “long-tail memory” phenomena that have been seen through empirical research. Standard differential equations with integer order derivatives cannot
Yong-Ki Ma, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, K. Thilagavathi, Hemant Kumar Nashine, Arun Kumar Singh, Mohammed Zakarya   +7 more
doaj   +1 more source

Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability☆

Ain Shams Engineering Journal, 2023
This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system.
Yong-Ki Ma, C. Dineshkumar, V. Vijayakumar, R. Udhayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

Stability of fractional neutral systems [PDF]

Advances in Difference Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, KeWei, Jiang, Wei
openaire   +2 more sources

Controllability of switched Hilfer neutral fractional dynamic systems with impulses

IMA Journal of Mathematical Control and Information, 2022
AbstractThe aim of this work is to investigate the controllability of a class of switched Hilfer neutral fractional systems with non-instantaneous impulses in the finite-dimensional spaces. We construct a new class of control function that controls the system at the final time of the time-interval and controls the system at each of the impulsive points
Vipin Kumar 0003, Marko Kostic, Abdessamad Tridane, Amar Debbouche   +3 more
openaire   +2 more sources

Controllability for Retarded Semilinear Neutral Control Systems of Fractional Order in Hilbert Spaces

Mathematics, 2021
In this paper, we discuss the approximate controllability for a class of retarded semilinear neutral control systems of fractional order by investigating the relations between the reachable set of the semilinear retarded neutral system of fractional ...
Daewook Kim, Jin-Mun Jeong
doaj   +1 more source

Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

Fractal and Fractional, 2023
We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov, Mariyan Milev, Magdalena Veselinova, Andrey Zahariev   +3 more
doaj   +1 more source

On the approximate controllability of non-densely defined Sobolev-type nonlocal Hilfer fractional neutral Volterra-Fredholm delay integro-differential system

Alexandria Engineering Journal, 2023
The main focus of our discussion is the approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral Volterra–Fredholm integro-differential systems.
K. Kavitha, V. Vijayakumar, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Controllability and Observability Analysis of a Fractional-Order Neutral Pantograph System

Symmetry, 2023
In the recent past, a number of research articles have explored the stability, existence, and uniqueness of the solutions and controllability of dynamical systems with a fractional order (FO). Nevertheless, aside from the controllability and other dynamical aspects, very little attention has been given to the observability of FO dynamical systems. This
Irshad Ahmad, Saeed Ahmad, Ghaus ur Rahman, Shabir Ahmad, Wajaree Weera   +4 more
openaire   +1 more source

Integral Representation of the Solutions for Neutral Linear Fractional System with Distributed Delays

Fractal and Fractional, 2021
In the present paper, first we obtain sufficient conditions for the existence and uniqueness of the solution of the Cauchy problem for an inhomogeneous neutral linear fractional differential system with distributed delays (even in the neutral part) and ...
Hristo Kiskinov, Ekaterina Madamlieva, Magdalena Veselinova, Andrey Zahariev   +3 more
doaj   +1 more source