Approximate controllability of semilinear integro-differential fractional control systems with nonlocal conditions

Jneid, Maher

doi:10.12988/ams.2017.73108

Cited by 6 publications

(5 citation statements)

References 16 publications

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“…Proof. Te proof of this theorem closely follows the proofs of similar theorems presented in many papers, for example, see the works of Mahmudov [32] and Jneid [33]. So we are not going to repeat the proof here.…”

Section: Preliminariessupporting

confidence: 57%

“…Sakthivel et al [21] applied a fxed point theorem to obtain controllability conditions for nonlinear systems with fractional order. Jneid [22] used a compact semigroup operator and Schauder fxed point technique to derive a set of sufcient conditions for the approximate controllability of integrodiferential control systems of non-integer order. Dineshkumar et al [23] utilized Bohnenblust-Karlin's fxed point theorem, cosine and sine functions of operators to acquire sufcient conditions for the approximate controllability of fractional stochastic diferential inclusions with order 1 < r < 2.…”

Section: Introductionmentioning

confidence: 99%

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On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

Jneid

2024

Journal of Mathematics

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In this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction mapping principle, we obtain sufficient conditions for the conformable fractional semilinear system to be partially exactly controllable, assuming that its associated linear part is partially exactly controllable. To demonstrate the efficacy of the theoretical findings, a typical example is provided at the end.

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Section: Preliminariessupporting

confidence: 57%

Section: Introductionmentioning

confidence: 99%

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

Jneid

2024

Journal of Mathematics

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“…They significantly contribute in the analysis and design of control systems [17]. Recently, numerous researchers have investigated generalizing the fundamental controllability principles to the domain of fractional-order control systems, see [18][19][20], and the references cited therein.…”

Section: θ(T)mentioning

confidence: 99%

Processing the Controllability of Control Systems with Distinct Fractional Derivatives via Kalman Filter and Gramian Matrix

Awadalla,

Chaouk,

Jneid

et al. 2024

Fractal Fract

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In this paper, we investigate the controllability conditions of linear control systems involving distinct local fractional derivatives. Sufficient conditions for controllability using Kalman rank conditions and the Gramian matrix are presented. We show that the controllability of the local fractional system can be determined by the invertibility of the Gramian matrix and the full rank of the Kalman matrix. We also show that the local fractional system involving distinct orders is controllable if and only if the Gramian matrix is invertible. Illustrative examples and an application are provided to demonstrate the validity of the theoretical findings.

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“…Proceeding with the method followed by [36], the mild solution of System (1) (referring to [37], Definition 7) can be presented as follows:…”

Section: Remark 1 ([34]mentioning

confidence: 99%

On the Analysis of a Neutral Fractional Differential System with Impulses and Delays

et al. 2022

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In this paper, we investigate the exact and approximate controllability, finite time stability, and β–Hyers–Ulam–Rassias stability of a fractional order neutral impulsive differential system. The controllability criteria is incorporated with the help of a fixed point approach. The famous generalized Grönwall inequality is used to study the finite time stability and β–Hyers–Ulam–Rassias stability. Finally, the main results are verified with the help of an example.

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Approximate controllability of semilinear integro-differential fractional control systems with nonlocal conditions

Cited by 6 publications

References 16 publications

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

On Partial Exact Controllability of Fractional Control Systems in Conformable Sense

Processing the Controllability of Control Systems with Distinct Fractional Derivatives via Kalman Filter and Gramian Matrix

On the Analysis of a Neutral Fractional Differential System with Impulses and Delays

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