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Exponential Synchronization-Like Control of State-Dependent Impulsive Chaotic Neural Networks 状态相关脉冲混沌神经网络的类指数同步控制
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-11-04 DOI: 10.1002/mma.70207
Yanshou Dong, Junfang Zhao, Xu Miao, Ming Kang, Huijuan Yang

This paper investigates the local exponential synchronization-like control between state-dependent impulsive chaotic neural networks. First, various adequate conditions are theoretically proven to guarantee that the trajectory of every solution for the chaotic neural networks passes through each impulsive surface only once. Second, by designing segmented controllers and aperiodic intermittent controllers, respectively, making use of the comparison principle and linear matrix inequality techniques, this paper establishes adequate conditions for the local exponential synchronization-like control between impulsive chaotic neural networks. Finally, the validity of the proposed results was confirmed by using examples and numerical simulations.

研究了状态相关脉冲混沌神经网络之间的局部类指数同步控制。首先,从理论上证明了保证混沌神经网络的每一个解的轨迹只经过每一个脉冲曲面一次的各种充分条件;其次,分别设计了分段控制器和非周期间歇控制器,利用比较原理和线性矩阵不等式技术,建立了脉冲混沌神经网络局部类指数同步控制的充分条件。最后,通过算例和数值模拟验证了所提结果的有效性。
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引用次数: 0
Linguistic Sustainability: An Innovative Technique for Simulating Constant and Variable Fractional-Order Dynamics 语言可持续性:一种模拟常数和变量分数阶动态的创新技术
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-22 DOI: 10.1002/mma.70217
Sumit Gupta, Deepika Khandelwal, Sheeba Anjum, Neha Purohit

There are dozens of languages spoken worldwide, but due to linguistic shifts and rivalry, many of them are in danger of becoming extinct. A vital component, therefore, is linguistic sustainability because cultural sustainability depends on language preservation. To represent linguistic sustainability, which traditional models do not adequately present, this work presents a novel fractional-order method that uses both constant and variable fractional-order derivatives. The significance of the arbitrary order derivative and the theoretical conclusions we got were validated by implementing a recently suggested Toufik–Atangana numerical technique with Caputo (C), Caputo–Fabrizio (CF), and Atangana Balaneau Caputo (ABC) fractional derivatives. Additionally, a comparison between the Mathematica NDSolve approach and the integer order Toufik-Atangana method was done. This innovative method provides insightful information for language preservation plans, allowing linguists and policymakers to create more potent interventions to save endangered languages.

世界上有几十种语言,但由于语言的变化和竞争,其中许多语言面临灭绝的危险。因此,语言的可持续性是一个至关重要的组成部分,因为文化的可持续性取决于语言的保存。为了表现语言的可持续性,这是传统模型不能充分呈现的,这项工作提出了一种新的分数阶方法,该方法使用常数和可变分数阶导数。通过使用Caputo (C)、Caputo - fabrizio (CF)和Atangana Balaneau Caputo (ABC)分数阶导数实现最近提出的Toufik-Atangana数值技术,验证了任意阶导数的重要性和我们得到的理论结论。此外,还对Mathematica NDSolve方法与整数阶Toufik-Atangana方法进行了比较。这种创新的方法为语言保护计划提供了有见地的信息,使语言学家和政策制定者能够制定更有效的干预措施来拯救濒危语言。
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引用次数: 0
Existence and Regularity of Sonic-Supersonic Solutions for 2-D Steady Magnetohydrodynamics System With van der Waals Fluid 二维稳定范德华流体磁流体动力学系统声速-超音速解的存在性和规律性
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-21 DOI: 10.1002/mma.70179
H. Srivastava, M. Zafar
<div> <p>This work deals with the existence of a sonic-supersonic solution near the sonic curve for the 2-D steady magnetohydrodynamics system with the van der Waals fluid. An idea of characteristic decomposition is used to transform the steady magnetohydrodynamics system into a new system involving the variables <span></span><math> <semantics> <mrow> <mi>W</mi> <mo>=</mo> <mfrac> <mrow> <msup> <mrow> <mover> <mrow> <mi>∂</mi> </mrow> <mo>‾</mo> </mover> </mrow> <mrow> <mo>+</mo> </mrow> </msup> <mi>ω</mi> </mrow> <mrow> <mi>ω</mi> </mrow> </mfrac> </mrow> <annotation>$$ W&amp;#x0003D;frac{{overline{partial}}&amp;#x0005E;{&amp;#x0002B;}omega }{omega } $$</annotation> </semantics></math> and <span></span><math> <semantics> <mrow> <mi>Z</mi> <mo>=</mo> <mfrac> <mrow> <msup> <mrow> <mover> <mrow> <mi>∂</mi> </mrow> <mo>‾</mo> </mover> </mrow> <mrow> <mo>−</mo> </mrow> </msup> <mi>ω</mi> </mrow> <mrow> <mi>ω</mi> </mrow> </mfrac> </mrow> <annotation>$$ Z&amp;#x0003D;frac{{overline{partial}}&amp;#x0005E;{-}omega }{omega } $$</annotation> </semantics></math>, which shows a clear singularity-regularity structure. By employing the Banach fixed point theorem, we prove the existence of solution in the <span></span><math> <semantics> <mrow> <mo>(</mo> <mi>t</mi> <mo>=</mo> <msqrt> <mrow> <msup> <mrow> <mi>q</mi> </mrow> <mrow> <mn>2</mn>
本文研究了具有范德华流体的二维稳态磁流体动力学系统在声速曲线附近的声速-超音速解的存在性。采用特征分解的思想,将稳定的磁流体动力学系统转化为包含变量W =∂∂∂的新系统+ ω ω $$ W&amp;#x0003D;frac{{overline{partial}}&amp;#x0005E;{&amp;#x0002B;}omega }{omega } $$和Z =∂谢尔盖- ω ω $$ Z&amp;#x0003D;frac{{overline{partial}}&amp;#x0005E;{-}omega }{omega } $$,显示出清晰的奇异-正则结构。利用巴拿赫不动点定理,证明了在(t = q2−ω)条件下解的存在性2、φ = φ (x, y)) $$ left(t&amp;#x0003D;sqrt{q&amp;#x0005E;2-{omega}&amp;#x0005E;2},phi &amp;#x0003D;phi left(x,yright)right) $$ -平面在边界数据的某些假设下。讨论了从(t, ϕ) $$ left(t,phi right) $$ -平面到原始(x, y) $$ left(x,yright) $$ -平面的解的反转。对于解的正则性,我们使用了部分矢状变换,证明了解具有c1,16 $$ {C}&amp;#x0005E;{1,frac{1}{6}} $$ -声波曲线的规律性。
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引用次数: 0
Abstract Boundary Delay Systems and Application to Network Flow 边界延迟系统及其在网络流中的应用
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-20 DOI: 10.1002/mma.70139
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi

This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well-posedness is proved by using the Staffans–Weiss theory. We also establish spectral theory for the associated delay operators and provide conditions for the positivity of the semigroup.

研究了一类网络上延迟传输方程解的适定性和正性。物料流在顶点和边缘处被延迟。将该问题重新表述为抽象的边界延迟方程,并利用Staffans-Weiss理论证明了该问题的适定性。建立了相关延迟算子的谱理论,并给出了半群正的条件。
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引用次数: 0
Existence of Positive Solutions for the Schrödinger–Bopp–Podolsky Equations Schrödinger-Bopp-Podolsky方程正解的存在性
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-20 DOI: 10.1002/mma.70208
Qiaoyun Jiang, Lin Li, Shang-Jie Chen

This paper is concerned with the existence of positive solutions for a class of Schrödinger-Bopp-Podolsky systems in three-dimensional Euclidean space. The system couples a nonlinear Schrödinger equation with a fourth-order elliptic equation governing the electrostatic potential. We establish existence under assumptions on an external potential, which is allowed to vanish at infinity, and on a nonlinearity with subcritical growth. A key feature of our work is demonstrating that existence hinges on a delicate interplay between the decay rate of the potential and the local behavior of the nonlinearity near the origin. The proof relies on variational methods. We employ a penalization technique to overcome the lack of compactness, establish the existence of a solution for the resulting auxiliary problem via the Mountain Pass Theorem, and use crucial L$$ {L}&amp;#x0005E;{infty } $$-estimates to show this solution solves the original system for a suitable range of parameters.

研究了三维欧几里德空间中一类Schrödinger-Bopp-Podolsky系统正解的存在性。该系统将非线性Schrödinger方程与控制静电势的四阶椭圆方程耦合在一起。我们在允许在无穷远处消失的外部势和具有次临界增长的非线性的假设下建立了存在性。我们工作的一个关键特征是证明存在取决于势的衰减率和原点附近非线性的局部行为之间的微妙相互作用。这个证明依赖于变分方法。我们采用惩罚技术来克服紧致性的不足,通过山口定理建立了由此产生的辅助问题解的存在性,并使用关键的L∞$$ {L}&amp;#x0005E;{infty } $$ -估计来表明该解决方案解决了原始系统的合适参数范围。
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引用次数: 0
RETRACTION: Synthesis and Characterization of Additive Graphene Oxide Nanoparticles Dispersed in Water: Experimental and Theoretical Viscosity Prediction of non-Newtonian Nanofluid 分散在水中的添加剂氧化石墨烯纳米颗粒的合成和表征:非牛顿纳米流体的实验和理论粘度预测
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-19 DOI: 10.1002/mma.70243

RETRACTION: Y. Xu, Q. Nguyen, O. Malekahmadi, R. Hadi, Z. Jokar, A. Mardani, A. Karimipour, R. Ranjbarzadeh, Z. Li, Q.-V. Bach, “Synthesis And Characterization Of Additive Graphene Oxide Nanoparticles Dispersed In Water: Experimental And Theoretical Viscosity Prediction Of Non-Newtonian Nanofluid”, Mathematical Methods in the Applied Sciences (Early View): https://doi.org/10.1002/mma.6381.

The above article, published online on 05 April 2020 in Wiley Online Library (wileyonlinelibrary.com), has been retracted by agreement between the journal Editor-in-Chief, Wolfgang Sprößig; and John Wiley & Sons Ltd. The article was submitted as part of a guest-edited special issue. As part of an investigation, the journal discovered that the article was accepted solely on the basis of compromised editorial handling and what appears to be a manipulated peer review process. When informed of the decision to retract the article, the institution which was listed as the affiliation for five of the authors noted that four of them were never affiliated with the institution, and that the department noted in the affiliations (the Department of Mechanical Engineering, University of Rome, Sapienza, Italy) does not exist. As a result, the data and conclusions are considered unreliable, and the accountability of the authorship is considered compromised. Therefore the article must be retracted. Author R. Ranjbarzadeh has been informed of the retraction and stated that his involvement with the research was limited to part of the experimental measurements, and that he was not involved in the data analysis, writing, or submission of the manuscript. The corresponding author has agreed that author R. Ranjbarzadeh's role in the production of the data and article was limited to taking basic laboratory measurements.

撤刊:徐英,阮琦,O. Malekahmadi, R. Hadi, Z. Jokar, A. Mardani, A. Karimipour, R. Ranjbarzadeh,李志强,Q. v。Bach,“分散在水中的添加剂氧化石墨烯纳米颗粒的合成和表征:非牛顿纳米流体的实验和理论粘度预测”,应用科学中的数学方法(早期视图):https://doi.org/10.1002/mma.6381.The以上文章,于2020年4月5日在线发表在Wiley在线图书馆(wileyonlinelibrary.com),经期刊主编Wolfgang同意撤回Sprößig;及约翰威利父子有限公司。这篇文章是作为嘉宾编辑的特刊的一部分提交的。作为调查的一部分,该杂志发现,这篇文章被接受完全是基于编辑处理的妥协,以及似乎是被操纵的同行评议过程。当被告知撤回文章的决定时,被列为五名作者所属机构的机构指出,其中四名作者从未隶属于该机构,并且隶属关系中所指出的部门(意大利萨皮恩扎罗马大学机械工程系)不存在。结果,数据和结论被认为是不可靠的,作者的责任被认为是妥协的。因此这篇文章必须撤回。作者R. Ranjbarzadeh已被告知撤稿,并声明他参与的研究仅限于部分实验测量,他没有参与数据分析、写作或手稿提交。通讯作者同意作者R. Ranjbarzadeh在数据和文章制作中的作用仅限于进行基本的实验室测量。
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引用次数: 0
RETRACTION: Establishing Artificial Neural Network to Investigate Thermal Properties of Carbon Nanotube/Zinc Oxide Composite Dispersed in Water 摘要:建立人工神经网络研究分散在水中的碳纳米管/氧化锌复合材料的热性能
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-19 DOI: 10.1002/mma.70241

RETRACTION: T.A. Alkanhal, “Establishing artificial neural network to investigate thermal properties of carbon nanotube/zinc oxide composite dispersed in water”, Mathematical Methods in the Applied Sciences (Early View): https://doi.org/10.1002/mma.7138.

The above article, published online on 06 February 2021 in Wiley Online Library (wileyonlinelibrary.com), has been retracted by agreement between the journal Editor-in-Chief, Wolfgang Sprößig; and John Wiley & Sons Ltd. The article was submitted as part of a guest-edited special issue. Following publication, it has come to the attention of the journal that the article was accepted solely on the basis of compromised editorial handling and peer review processes. As a result, the data and conclusions are considered unreliable, therefore the article must be retracted.

撤回:T.A. Alkanhal,“建立人工神经网络来研究分散在水中的碳纳米管/氧化锌复合材料的热性能”,应用科学数学方法(早期观点):https://doi.org/10.1002/mma.7138.The以上文章,于2021年2月6日在线发表在Wiley在线图书馆(wileyonlinelibrary.com),经期刊主编Wolfgang同意撤回Sprößig;及约翰威利父子有限公司。这篇文章是作为嘉宾编辑的特刊的一部分提交的。发表后,该杂志注意到,这篇文章完全是在编辑处理和同行评议过程妥协的基础上被接受的。因此,数据和结论被认为是不可靠的,因此文章必须被撤回。
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引用次数: 0
RETRACTION: Improving Energy Storage And Performance Through Implementing Artificial Neural Network Modeling To Forecast Heat Transfer And Entropy Generation Within A Wavy-Wall Microchannel Under Discontinuous-Boundary Condition–Hybrid Nanofluid Utilization 摘要:利用人工神经网络模型预测非连续边界条件下波壁微通道内的传热和熵产,提高能量储存和性能——混合纳米流体的利用
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-19 DOI: 10.1002/mma.70237

RETRACTION: N.H. Abu-Hamdeh, “Improving Energy Storage And Performance Through Implementing Artificial Neural Network Modeling To Forecast Heat Transfer And Entropy Generation Within A Wavy-Wall Microchannel Under Discontinuous-Boundary Condition–Hybrid Nanofluid Utilization”, Mathematical Methods in the Applied Sciences (Early View): https://doi.org/10.1002/mma.7319.

The above article, published online on 31 May 2021 in Wiley Online Library (wileyonlinelibrary.com), has been retracted by agreement between the journal Editor-in-Chief, Wolfgang Sprößig; and John Wiley & Sons Ltd. The article was submitted as part of a guest-edited special issue. Following publication, it has come to the attention of the journal that the article was accepted solely on the basis of compromised editorial handling and peer review processes. As a result, the data and conclusions are considered unreliable, therefore the article must be retracted. When informed of the decision, the authors have disagreed with the decision to retract.

撤回:N.H. Abu-Hamdeh,“通过实现人工神经网络建模来预测不连续边界条件下波壁微通道内的传热和熵生成,提高能量存储和性能-混合纳米流体利用”,应用科学数学方法(早期视图);https://doi.org/10.1002/mma.7319.The上述文章于2021年5月31日在线发表在Wiley在线图书馆(wileyonlinelibrary.com)上,经期刊主编Wolfgang Sprößig同意撤回;及约翰威利父子有限公司。这篇文章是作为嘉宾编辑的特刊的一部分提交的。发表后,该杂志注意到,这篇文章完全是在编辑处理和同行评议过程妥协的基础上被接受的。因此,数据和结论被认为是不可靠的,因此文章必须被撤回。当被告知该决定时,作者不同意撤回的决定。
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引用次数: 0
RETRACTION: Performance of Joined Artificial Neural Network and Genetic Algorithm to Study the Effect of Temperature and Mass Fraction of Nanoparticles Dispersed in Ethanol 论文摘要:利用人工神经网络和遗传算法研究温度和质量分数对纳米颗粒在乙醇中分散的影响
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-19 DOI: 10.1002/mma.70242

RETRACTION: Q. Nguyen, P. Ghorbani, S.A. Bagherzadeh, O. Malekahmadi, A. Karimipour, “Performance Of Joined Artificial Neural Network And Genetic Algorithm To Study The Effect Of Temperature And Mass Fraction Of Nanoparticles Dispersed In Ethanol”, Mathematical Methods in the Applied Sciences (Early View): https://doi.org/10.1002/mma.6688.

The above article, published online on 17 August 2020 in Wiley Online Library (wileyonlinelibrary.com), has been retracted by agreement between the journal Editor-in-Chief, Wolfgang Sprößig; and John Wiley & Sons Ltd. The article was submitted as part of a guest-edited special issue. Following publication, it has come to the attention of the journal that the article was accepted solely on the basis of compromised editorial handling and peer review processes. As a result, the data and conclusions are considered unreliable, therefore the article must be retracted.

撤回:Q. Nguyen, P. Ghorbani, S.A. Bagherzadeh, O. Malekahmadi, A. Karimipour,“联合人工神经网络和遗传算法的性能研究纳米颗粒在乙醇中分散的温度和质量分数的影响”,应用科学数学方法(早期观点);https://doi.org/10.1002/mma.6688.The上述文章于2020年8月17日在线发表在Wiley在线图书馆(wileyonlinelibrary.com)上,经期刊主编Wolfgang Sprößig同意撤回;及约翰威利父子有限公司。这篇文章是作为嘉宾编辑的特刊的一部分提交的。发表后,该杂志注意到,这篇文章完全是在编辑处理和同行评议过程妥协的基础上被接受的。因此,数据和结论被认为是不可靠的,因此文章必须被撤回。
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引用次数: 0
RETRACTION: Stochastic Optimal Analysis For The Hepatitis B Epidemic Model With Markovian Switching 具有马尔可夫切换的乙型肝炎流行模型的随机最优分析
IF 1.8 3区 数学 Q1 MATHEMATICS, APPLIED Pub Date : 2025-10-19 DOI: 10.1002/mma.70236

RETRACTION: A. Din, and Y. Li, “Stochastic Optimal Analysis For The Hepatitis B Epidemic Model With Markovian Switching”, Mathematical Methods in the Applied Sciences (Early View): https://doi.org/10.1002/mma.8218.

The above article, published online on 12 March 2022 in Wiley Online Library (wileyonlinelibrary.com), has been retracted by agreement between the journal Editor-in-Chief, Wolfgang Sprößig; and John Wiley & Sons Ltd. The article was submitted as part of a guest-edited special issue. Following publication, it has come to the attention of the journal that the article was accepted solely on the basis of compromised editorial handling and peer review processes. As a result, the data and conclusions are considered unreliable, therefore the article must be retracted. When informed of the decision, the authors have disagreed with the decision to retract.

撤回:A. Din和Y. Li,“马尔可夫转换下乙肝流行模型的随机最优分析”,应用科学数学方法(早期视图):https://doi.org/10.1002/mma.8218.The以上文章,于2022年3月12日在线发表在Wiley在线图书馆(wileyonlinelibrary.com),经期刊主编Wolfgang Sprößig同意撤回;及约翰威利父子有限公司。这篇文章是作为嘉宾编辑的特刊的一部分提交的。发表后,该杂志注意到,这篇文章完全是在编辑处理和同行评议过程妥协的基础上被接受的。因此,数据和结论被认为是不可靠的,因此文章必须被撤回。当被告知该决定时,作者不同意撤回的决定。
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引用次数: 0
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Mathematical Methods in the Applied Sciences
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