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A New Scheme of the ARA Transform for Solving Fractional-Order Waves-Like Equations Involving Variable Coefficients

Computer Modeling in Engineering & Sciences 2024年第1期138卷 761-791页

作者： yu-ming chu Sobia Sultana Shazia Karim Saima Rashid Mohammed Shaaf Alharthi Department of Mathematics Huzhou UniversityHuzhou313000China Department of Mathematics Imam Mohammad Ibn Saud Islamic UniversityRiyadh11461Saudi Arabia Department of Basic Sciences and Humanities UET LahoreFaisalabad Campus54800Pakistan Department of Mathematics Government College UniversityFaisalabad38000Pakistan Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia

The goal of this research is to develop a new,simplified analytical method known as the ARA-residue power series method for obtaining exact-approximate solutions employing Caputo type fractional partial differential equations(PDEs)with variable ***-transform is a robust and highly flexible generalization that unifies several existing *** key concept behind this method is to create approximate series outcomes by implementing the ARA-transform and Taylor’s *** process of finding approximations for dynamical fractional-order PDEs is challenging,but the ARA-residual power series technique magnifies this challenge by articulating the solution in a series pattern and then determining the series coefficients by employing the residual component and the limit at infinity *** approach is effective and useful for solving a massive class of fractional-order *** appealing implementations are taken into consideration to demonstrate the effectiveness of the projected technique in creating solitary series findings for the governing equations with variable ***,several visualizations are drawn for different fractional-order *** that,the estimated findings by the proposed technique are in close agreement with the exact ***,statistical analyses further validate the efficacy,dependability and steady interconnectivity of the suggested ARA-residue power series approach.

关键词： ARA-transform Caputo fractional derivative residue-power seriesmethod analytical solutions statistical analysis

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Entropy generation applications in flow of viscoelastic nanofluid past a lubricated disk in presence of nonlinear thermal radiation and Joule heating

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Communications in Theoretical Physics 2021年第9期73卷 37-50页

作者： Aamar Abbasi Waseh Farooq M Ijaz Khan Sami Ullah Khan yu-ming chu Zahid Hussain M Y Malik Department of Mathematics University of Azad Jammu and Kashmir Muzaffarabad13100 Pakistan Department of Mathematics and Statistics Riphah International University I-14Islamabad 44000Pakistan Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mathematics Huzhou UniversityHuzhou 313000China Department of Mathematics College of SciencesKing Khalid UniversityAbha 61413Saudi Arabia

Entropy generation is the loss of energy in thermodynamical systems due to resistive forces,diffusion processes,radiation effects and chemical *** main aim of this research is to address entropy generation due to magnetic field,nonlinear thermal radiation,viscous dissipation,thermal diffusion and nonlinear chemical reaction in the transport of viscoelastic fluid in the vicinity of a stagnation point over a lubricated *** conservation laws of mass and momentum along with the first law of thermodynamics and Fick’s law are used to discuss the flow,heat and mass transfer,while the second law of thermodynamics is used to analyze the entropy and *** numbers of independent variables in the modeled set of nonlinear partial differential equations are reduced using similarity variables and the resulting system is numerically approximated using the Keller box *** effects of thermophoresis,Brownian motion and the magnetic parameter on temperature are presented for lubricated and rough *** local Nusselt and Sherwood numbers are documented for both linear and nonlinear thermal radiation and lubricated and rough *** representations of the entropy generation number and Bejan number for various parameters are also shown for lubricated and rough *** concentration of nanoparticles at the lubricated surface reduces with the magnetic parameter and Brownian *** entropy generation declines for thermophoresis diffusion and Brownian motion when lubrication effects are *** is concluded that both entropy generation and the magnitude of the Bejan number increase in the presence of *** current results present many applications in the lubrication phenomenon,heating processes,cooling of devices,thermal engineering,energy production,extrusion processes etc.

关键词： entropy generation viscoelastic fluid lubricated surface nonlinear thermal radiation Joule heating Keller box method

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拟双曲度量与John圆

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数学学报（中文版） 2008年第3期51卷 417-422页

作者：褚玉明程金发湖州师范学院数学系湖州313000 厦门大学数学系厦门361005

设D是R^2中的Jordan域,本文证明了D是b-John圆当且仅当存在常数c≥1,对任意的x_1,x_2∈D,有k_D(x_1,x_2)≤cH_D(x_1,x_2),这里kD(x_1,x_2)表示D中x_1与x_2二点的拟双曲距离,H_D(x_1,x_2)=1/2log(1+(l(γ))/(d(x_1,■D)))(1+(l(γ))/(d(x... 详细信息

关键词：拟双曲度量拟双曲测地线 John圆

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Multilevel analysis of the central-peripheral-target organ pathway:contributing to recovery after peripheral nerve injury

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Neural Regeneration Research 2025年第10期20卷 2807-2822页

作者： Xizi Song Ruixin Li Xiaolei chu Qi Li Ruihua Li Qingwen Li Kai-yu Tong Xiaosong Gu Dong ming Academy of Medical Engineering and Translational Medicine Tianjin UniversityTianjinChina Haihe Laboratory of Brain-Machine Interface and Human-Machine Fusion TianjinChina Department of Rehabilitation Tianjin University Tianjin HospitalTianjinChina Department of Hand Microsurgery Tianjin University Tianjin HospitalTianjinChina School of Exercise and Health Tianjin University of SportTianjinChina Department of Biomedical Engineering the Chinese University of Hong KongHong Kong Special Administrative RegionChina

Peripheral nerve injury is a common neurological condition that often leads to severe functional limitations and *** on the pathogenesis of peripheral nerve injury has focused on pathological changes at individual injury sites,neglecting multilevel pathological analysis of the overall nervous system and target *** has led to restrictions on current therapeutic *** this paper,we first summarize the potential mechanisms of peripheral nerve injury from a holistic perspective,covering the central nervous system,peripheral nervous system,and target *** peripheral nerve injury,the cortical plasticity of the brain is altered due to damage to and regeneration of peripheral nerves;changes such as neuronal apoptosis and axonal demyelination occur in the spinal *** nerve will undergo axonal regeneration,activation of Schwann cells,inflammatory response,and vascular system regeneration at the injury *** damage to target organs can occur,including skeletal muscle atrophy and sensory receptor *** then provide a brief review of the research advances in therapeutic approaches to peripheral nerve *** main current treatments are conducted passively and include physical factor rehabilitation,pharmacological treatments,cell-based therapies,and physical ***,most treatments only partially address the problem and cannot complete the systematic recovery of the entire central nervous system-peripheral nervous system-target organ ***,we should further explore multilevel treatment options that produce effective,long-lasting results,perhaps requiring a combination of passive(traditional)and active(novel)treatment methods to stimulate rehabilitation at the central-peripheral-target organ levels to achieve better functional recovery.

关键词： central nervous system central peripheral target organ multilevel pathological analysis nerve regeneration peripheral nerve injury peripheral nervous system target organs therapeutic approach

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零平衡超几何函数的不等式

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数学学报（中文版） 2014年第4期57卷 719-726页

作者：王淼坤宋迎清褚玉明湖南城市学院数学与计算科学学院益阳413000

将反双曲正切函数的一个恒等式推广到了零平衡超几何函数F(a,b;a+b;x),a,b>0的情形,得到了零平衡超几何函数的一些不等式.

关键词： Gauss超几何函数单调性不等式

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泛函极小与非线性椭圆方程解的局部正则性

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数学学报（中文版） 2008年第2期51卷 411-416页

作者：高红亚褚玉明顾广泽河北大学数学与计算机学院湖州师范学院理学院湖州313000 湖南大学数学学院长沙410082

利用Giaquinta和Giusti的嵌入不等式和Sobolev空间方法,证明了在更一般条件下的变分问题中的泛函极小与非线性椭圆方程弱解的局部正则性.

关键词：局部正则性泛函极小非线性椭圆方程

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外部边界球可达域上拟共形映射的Lipschitz连续性

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数学学报（中文版） 2007年第6期50卷 1207-1212页

作者：褚玉明蒋月评方爱农湖州师范学院数学系湖州313000 湖南大学数学与计量经济学院长沙410082 上海交通大学数学系上海200240

定义了外部边界球可达域,利用曲线族的模获得如下结果:设D是R^n中的有界拟凸域,f:D→B^n是K-拟共形映射,若D是外部边界球可达域,则f∈Lip_α(D),其中α=K^(1/(1-n)).

关键词：模拟共形映射外部边界球可达域 Lipschitz连续性

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Dynamic Regulation of Hydrogen Bonding Networks and Solvation Structures for Synergistic Solar‑Thermal Desalination of Seawater and Catalytic Degradation of Organic Pollutants

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Nano-Micro Letters 2025年第2期17卷 548-565页

作者： ming‑yuan yu Jing Wu Guang Yin Fan‑Zhen Jiao Zhong‑Zhen yu Jin Qu Beijing Key Laboratory of Advanced Functional Polymer Composites Beijing University of Chemical TechnologyBeijing 100029People’s Republic of China State Key Laboratory of Organic‑Inorganic Composites College of Materials Science and EngineeringBeijing University of Chemical TechnologyBeijing 100029People’s Republic of China

Although solar steam generation strategy is efficient in desalinating seawater,it is still challenging to achieve continuous solar-thermal desalination of seawater and catalytic degradation of organic ***,dynamic regulations of hydrogen bonding networks and solvation structures are realized by designing an asymmetric bilayer membrane consisting of a bacterial cellulose/carbon nanotube/Co_(2)(OH)_(2)CO_(3)nanorod top layer and a bacterial cellulose/Co_(2)(OH)_(2)CO_(3)nanorod(BCH)bottom ***,the hydrogen bonding networks inside the membrane can be tuned by the rich surface–OH groups of the bacterial cellulose and Co_(2)(OH)_(2)CO_(3)as well as the ions and radicals in situ generated during the catalysis ***,both SO_(4)^(2−)and HSO_(5)−can regulate the solvation structure of Na^(+)and be adsorbed more preferentially on the evaporation surface than Cl^(−),thus hindering the de-solvation of the solvated Na^(+)and subsequent nucleation/growth of ***,the heat generated by the solar-thermal energy conversion can accelerate the reaction kinetics and enhance the catalytic degradation *** work provides a flow-bed water purification system with an asymmetric solar-thermal and catalytic membrane for synergistic solar thermal desalination of seawater/brine and catalytic degradation of organic pollutants.

关键词： Solar steam generation Seawater desalination Catalytic degradation Bacterial cellulose Cobalt hydroxycarbonate nanorods

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具有n次梯度可积函数的振荡

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数学学报（中文版） 2003年第5期46卷 961-964页

作者：褚玉明方爱农湖州师范学院数学系湖州313000 上海交通大学数学系上海200030

本文采用纯分析的方法和技巧,将函数的条件从拟共形映射降为具有ACL性质,得到了具有n次梯度可积函数的几个振荡不等式。

关键词：振荡 ACL性质拟共形映射

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电解质在非水混合溶剂中的溶解度和溶剂化数的研究——盐-甲醇-非电解质体系

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化学学报 1985年第2期43卷 113-119页

作者：杨家振梁春余初明晨关在汉唐晓彬许宝库辽宁大学化学系沈阳

本文测定了KClO,NaNO,NaNO三种盐在甲醇-苯,甲醇-甲苯,甲醇-环己烷,甲醇-四氯化碳和甲醇-二氧六环以及KCl在甲醇-苯和甲醇-甲苯中的溶解度.它们与非电解质的摩尔分数x的关系符合经验公式log(S/S)=kX,其中S和S分别为盐在纯甲醇和混合溶... 详细信息

本文测定了KClO,NaNO,NaNO三种盐在甲醇-苯,甲醇-甲苯,甲醇-环己烷,甲醇-四氯化碳和甲醇-二氧六环以及KCl在甲醇-苯和甲醇-甲苯中的溶解度.它们与非电解质的摩尔分数x的关系符合经验公式log(S/S)=kX,其中S和S分别为盐在纯甲醇和混合溶剂中的溶解度.同时,还得到了经验关系式log(S/S)=kφ,其中φ为第二组分的体积分数,k称为第二介质常数.盐的溶剂化数近似地符合公式n+n=(2log(S/S))/(logφ)计算得到各种盐的甲醇化数:KClO为7.1,NaNO为6.4,NaNO为5.8.从单纯溶剂化模型出发,应用改进的Born公式,推导出第二介质参数k′的理论计算公式.计算的k′和实验的k数值相近,k′对k有一定的预示.

关键词：混合溶剂甲醇一元醇溶剂化数溶解系数溶解度传导材料电解质

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