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An Investigation on the Optimal Control for Hilfer Fractional Neutral Stochastic Integrodifferential Systems with Infinite Delay

Fractal and Fractional, 2022
The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
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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
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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
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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
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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
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Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay

Mathematics, 2020
The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend
Ekaterina Madamlieva, Mihail Konstantinov, Marian Milev, Milena Petkova   +3 more
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Discussion on boundary controllability of nonlocal fractional neutral integrodifferential evolution systems

AIMS Mathematics, 2022
In the present work, we have established sufficient conditions for boundary controllability of nonlocal fractional neutral integrodifferential evolution systems with time-varying delays in Banach space.
Yong-Ki Ma, Kamalendra Kumar, Rakesh Kumar, Rohit Patel, Anurag Shukla, Velusamy Vijayakumar   +5 more
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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
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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
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Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems

Fractal and Fractional, 2022
This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems.
Velusamy Vijayakumar, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar   +2 more
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