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A New Idea of Fractal-Fractional Derivative with Power Law Kernel for Free Convection Heat Transfer in a Channel Flow between Two Static Upright Parallel Plates

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Computers, Materials & Continua 2020年第11期65卷 1237-1251页

作者： Dolat Khan Gohar Ali Arshad Khan Ilyas Khan Yu-Ming Chu Kottakkaran Sooppy Nisar Department of Mathematics City University of Science and Information TechnologyPeshawar25000Pakistan Institute of Computer Sciences and Information Technology The University of AgriculturePeshawarPakistan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh72915Vietnam Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

Nowadays some new ideas of fractional derivatives have been used successfully in the present research community to study different types of mathematical *** them,the significant models of fluids and heat or mass transfer are on *** recently a new idea of fractal-fractional derivative is introduced;however,it is not used for heat transfer in channel *** this article,we have studied this new idea of fractal fractional operators with power-law kernel for heat transfer in a fluid flow *** exactly,we have considered the free convection heat transfer for a Newtonian *** flow is bounded between two parallel static *** of the plates is heated *** proposed problem is modeled with a fractal fractional derivative operator with a power-law kernel and solved via the Laplace transform method to find out the exact *** results are graphically analyzed via MathCad-15 software to study the behavior of fractal parameters and fractional *** the influence of temperature and velocity profile,it is observed that the fractional parameter raised the velocity and temperature as compared to the fractal ***,a combined approach of fractal fractional explains the memory of the function better than fractional only.

关键词： Fractal-fractional derivative power law kernel convection heat transfer upright parallel plates

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Watchdog from academia: Do academic independent directors matter for financial statement fraud?

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International Review of Economics and Finance 2025年 101卷

作者： Wen, Shigang Li, Jianping Huang, Chuangxia Zhu, Xiaoqian School of Management Guangdong University of Technology Guangzhou 510520 China School of Economics and Management University of Chinese Academy of Sciences Beijing 100190 China MOE Social Science Laboratory of Digital Economic Forecasts and Policy Simulation at UCAS Beijing 100190 China School of Mathematics and Statistics Changsha University of Science and Technology Hunan Changsha 410114 China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Hunan Changsha 410114 China

We examine whether academic independent directors affect financial statement fraud. Using a sample of independent directors’ academic experience data for Chinese public firms, we find a significantly negative relation between academic independent directors and financial statement fraud. This finding is robust after applying various methods to address potential endogeneity concerns. Further analyses suggest that the negative relation between academic independent directors and financial statement fraud is more pronounced when academic independent directors are professors and possess accounting and technological expertise, sit on audit committees, compensation committees, multiple boards, and have relatively low-level compensation. In addition, the negative relation is stronger for non-state-owned firms and firms audited by small auditors. Overall, our findings suggest that academic independent directors are watchdogs for financial statement fraud. © The Authors

关键词： Academic independent director Board committee Compensation Corporate governance Financial statement fraud Professor

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Dynamical analysis and Exact Solutions of a New(2+1)-Dimensional Generalized Boussinesq Model Equation for Nonlinear Rossby Waves

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Communications in Theoretical Physics 2019年第9期71卷 1054-1062页

作者： Quan-Sheng Liu Zai-Yun Zhang Rui-Gang Zhang Chuang-Xia Huang School of Mathematical Sciences Inner Mongolia UniversityHohhot010021China School of Aeronautics Science and Engineering Beihang UniversityBeijing100191China School of Mathematics Hunan Institute of Science and TechnologyYueyang414006China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Scienceand Technology Changsha410014China School of Mathematics and Statistics Changsha University of Science and TechnologyChangsha410014China

In this paper, we study the higher dimensional nonlinear Rossby waves under the generalized beta *** methods of the multiple scales and weak nonlinear perturbation expansions [Q. S. Liu, et al., Phys. Lett. A383(2019) 514], we derive a new(2 + 1)-dimensional generalized Boussinesq equation from the barotropic potential vorticity equation. Based on bifurcation theory of planar dynamical systems and the qualitative theory of ordinary differential equations, the dynamical analysis and exact traveling wave solutions of the new generalized Boussinesq equation are obtained. Moreover, we provide the numerical simulations of these exact solutions under some conditions of all parameters. The numerical results show that these traveling wave solutions are all the Rossby solitary waves.

关键词： generalized Boussinesq model equation nonlinear Rossby waves dynamical analysis traveling wave solutions nonlinear perturbation expansions bifurcation theory of planar dynamical systems

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Optimization of Pyrolysis Parameters for Production of Biochar From Banana Peels: Evaluation of Biochar Application on the Growth of Ipomoea aquatica

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Frontiers in Energy Research 2021年 8卷

作者： Te, Wei Zun Muhanin, Kavinesh Nair Manor Chu, Yu-Ming Selvarajoo, Anurita Singh, Ajit Ahmed, Shams Forruque Vo, Dai-Viet N. Show, Pau Loke Department of Chemical and Environmental Engineering University of Nottingham Malaysia Semenyih Malaysia School of Biosciences University of Nottingham Malaysia Semenyih Malaysia Science and Math Program Asian University for Women Chattogram Bangladesh Department of Mathematics Huzhou University Huzhou China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha China Center of Excellence for Green Energy and Environmental Nanomaterials (CE@GrEEN) Nguyen Tat Thanh University Ho Chi Minh City Viet Nam

Banana peels waste can be utilized to produce high quality biochar that can be incorporated into the soil for sustainable production of crops. This research analyzed several properties of the biochar produced from the banana peel at different temperatures, residence times and heating rates. This study focuses on the biochar yield and the EDX analysis of the biochar produced. Response surface methodology using central composite design (CCD) was used to optimize these parameters in the batch reactor pyrolysis system. These factors were operated in different ranges for banana peels, in which pyrolysis temperature (200 to 600°C), residence time (60 to 180 min) and heating rate (5 to 15°C·min−1) were varied using 20 experiments respectively. Quality of the biochar was determined based on the biochar yield and O/C ratio. The optimum biochar chosen from the CCD model was applied to several pots of Ipomoea aquatica in different biochar dosage levels of 0, 3, 9 and 15 g (0, 1, 3 and 5 wt% of soil) respectively. Pot experiment was conducted with completely randomized design (CRD) of one factor with five replications to correlate the average plant heights with the biochar dosage levels. Results showed that biochar dosage of 1% yields the highest average final Ipomoea aquatica plant height of 37.04 cm. © Copyright © 2021 Te, Muhanin, Chu, Selvarajoo, Singh, Ahmed, Vo and Show.

关键词： Pyrolysis

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Initial successive coefficients for certain classes of univalent functions involving the exponential function

arXiv

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arXiv 2020年

作者： SHI, LEI WANG, ZHI-GANG SU, REN-LI ARIF, MUHAMMAD School of Mathematics and Statistics Anyang Normal University Anyang Henan455002 China School of Mathematics and Computing Science Hunan First Normal University Changsha Hunan410205 China School of Mathematics and Statistics Changsha University of Science and Technology Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha Hunan410114 China Department of Mathematics Abdul Wali Khan University Mardan23200 Pakistan

关键词： Exponential functions

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Retraction notice to “Investigation of dynamical behavior of 3LPT protein - water molecules interactions in atomic structures using molecular dynamics simulation” [J. Mol. Liq. 329 (2021) 115615]

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Journal of Molecular Liquids 2025年 421卷

作者： Muhammad Ibrahim Tareq Saeed Maboud Hekmatifar Roozbeh Sabetvand Yu-Ming Chu Davood Toghraie School of Mathematics and Physics University of Science and Technology Beijing Beijing 100083 China Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box 80203 Jeddah 21589 Saudi Arabia Department of Mechanical Engineering Khomeinishahr Branch Islamic Azad University Khomeinishahr Iran Department of Energy Engineering and Physics Faculty of Condensed Matter Physics Amirkabir University of Technology Tehran Iran Department of Mathematics Huzhou University Huzhou 313000 PR China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha 410114 PR China

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Retraction notice to "The atomic interactions between Histone and 3LPT protein using an equilibrium molecular dynamics simulation" [J. Mol. Liq. 328 (2021) 115397] (Journal of Molecular Liquids (2021) 328, (S0167732221001239), (10.1016/***.2021.115397))

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Journal of Molecular Liquids 2025年 429卷

作者： Ibrahim, Muhammad Saeed, Tareq Hekmatifar, Maboud Sabetvand, Roozbeh Chu, Yu-Ming Toghraie, Davood Iran, Teimour Ghahari School of Mathematics and Physics University of Science and Technology Beijing Beijing100083 China -Research Group Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box 80203 Jeddah21589 Saudi Arabia Department of Mechanical Engineering Khomeinishahr Branch Islamic Azad University Khomeinishahr Iran Department of Energy Engineering and Physics Faculty of Condensed Matter Physics Amirkabir University of Technology Tehran Iran Department of Mathematics Huzhou University Huzhou313000 China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha410114 China

This article has been retracted: please see Elsevier Policy on Article Withdrawal (https://***/locate/withdrawalpolicy). This article has been retracted at the request of the Editor-in-Chief. Post-publication, the editor discovered suspicious changes in authorship between the original submission and the revised version of this paper. The paper was originally submitted with Maboud Hekmatifar as the First Author and Davood Toghraie (also entered as "DT semiromi" in our systems) as the Corresponding Author. During revision, the authors Muhammad Ibrahim (New First Author), Tareq Saeed, and Yu-Ming Chu (Additional Corresponding Author) were all added to the revised paper without explanation and without the exceptional approval by the journal editor, which is contrary to the journal policy on changes to authorship. The editor reached out to the authors for an explanation, but they failed to provide a satisfactory explanation to these changes. The editor has determined that the authorship and the findings of the article cannot be relied upon, and has decided to retract the article. © 2025 Elsevier B.V.

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A Closer Look at the Minimum-Variance Portfolio Optimization Model

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mathematical Problems in engineering 2019年第1期2019卷

作者： Dai, Zhifeng College of Mathematics and Statistics Changsha University of Science and Technology Changsha410114 China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha China

Recently, by imposing the regularization term to objective function or additional norm constraint to portfolio weights, a number of alternative portfolio strategies have been proposed to improve the empirical performance of the minimum-variance portfolio. In this paper, we firstly examine the relation between the weight norm-constrained method and the objective function regularization method in minimum-variance problems by analyzing the Karush-Kuhn-Tucker conditions of their Lagrangian functions. We give the range of parameters for the two models and the corresponding relationship of parameters. Given the range and manner of parameter selection, it will help researchers and practitioners better understand and apply the relevant portfolio models. We apply these models to construct optimal portfolios and test the proposed propositions by employing real market data. © 2019 Zhifeng Dai.

关键词： Financial data processing

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Corrigendum to: Heron triangles with figurate number sides (Acta Mathematica Hungarica (2019), 157, (478–488), 10.1007/s10474-018-00907-0)

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Acta Mathematica Hungarica 2019年第2期159卷 689-689页

作者： Peng, J. Zhang, Y. School of Mathematics and Statistics Changsha University of Science and Technology Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha 410114 China

It was discovered that the original online version of the paper contained a mistake, on page 481, lines -4 to -1. It should be changed into the following: (Formula presented.). © 2019, Akadémiai Kiadó, ...

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A note on continuous-stage Runge-Kutta methods

arXiv

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arXiv 2018年

作者： Tang, Wensheng Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha410114 China

We provide a note on continuous-stage Runge-Kutta methods (csRK) for solving initial value problems of first-order ordinary differential equations. Such methods, as an interesting and creative extension of traditional Runge-Kutta (RK) methods, can give us a new perspective on RK discretization and it may enlarge the application of RK approximation theory in modern mathematics and engineering fields. A highlighted advantage of investigation of csRK methods is that we do not need to study the tedious solution of multi-variable nonlinear algebraic equations associated with order conditions. In this note, we will discuss and promote the recently-developed csRK theory. In particular, we will place emphasis on geometric integrators including symplectic methods, symmetric methods and energy-preserving methods which play a central role in the field of geometric numerical integration. Copyright © 2018, The Authors. All rights reserved.

关键词： Runge Kutta methods

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