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New Configurations of the Fuzzy Fractional Differential Boussinesq Model with Application in Ocean Engineering and Their Analysis in Statistical Theory

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Computer Modeling in Engineering & Sciences 2023年第11期137卷 1573-1611页

作者： yu-ming chu SaimaRashid Shazia Karim Anam Sultan Department of Mathematics Huzhou UniversityHuzhou313000China Department of Mathematics Government College UniversityFaisalabad38000Pakistan Department of Basic Sciences and Humanities UET LahoreFaisalabad CampusLahorePakistan

The fractional-order Boussinesq equations(FBSQe)are investigated in this work to see if they can effectively improve the situation where the shallow water equation cannot directly handle the dispersion *** fuzzy forms of analytical FBSQe solutions are first derived using the Adomian decomposition *** also occurs on the sea floor as opposed to at the functionality.A set of dynamical partial differential equations(PDEs)in this article exemplify an unconfined aquifer flow *** can accurately simulate climatological intrinsic waves,so the ripples are spread across a large demographic *** Aboodh transform merged with the mechanism of Adomian decomposition is implemented to obtain the fuzzified FBSQe in R,R^(n) and(2nth)-order involving generalized Hukuhara *** to the system parameter,we classify the qualitative features of the Aboodh transform in the fuzzified Caputo and Atangana-Baleanu-Caputo fractional derivative formulations,which are addressed in *** illustrations depict a comparison analysis between the both fractional operators under gH-differentiability,as well as the appropriate attributes for the fractional-order and unpredictability factorsσ∈[0,1].A statistical experiment is conducted between the findings of both fractional derivatives to prevent changing the hypothesis after the results are *** on the suggested analyses,hydrodynamic technicians,as irrigation or aquifer quality experts,may be capable of obtaining an appropriate storage intensity amount,including an unpredictability threshold.

关键词： Fuzzy set theory aboodh transform adomian decomposition method boussinesq equation fractional derivative operators analysis of variance test

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New Computation of Unified Bounds via a More General Fractional Operator Using Generalized Mittag-Leffler Function in the Kernel

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Computer Modeling in Engineering & Sciences 2021年第1期126卷 359-378页

作者： Saima Rashid Zakia Hammouch Rehana Ashraf yu-ming chu Department of Mathematics Government College UniversityFaisalabadPakistan Division of Applied mathematics Thu Dau Mot UniversityThu Dau Mot CityVietnam Department of Mathematics Lahore CollegeWomen UniversityJhangh CampusLahorePakistan Department of Mathematics Huzhou UniversityHuzhouChina

In the present case,we propose the novel generalized fractional integral operator describing Mittag-Leffler function in their kernel with respect to another function Φ.The proposed technique is to use graceful amalgamations of the Riemann-Liouville(RL)fractional integral operator and several other fractional ***,several generalizations are considered in order to demonstrate the novel variants involving a family of positive functions n(n∈N)for the proposed fractional *** order to confirm and demonstrate the proficiency of the characterized strategy,we analyze existing fractional integral operators in terms of classical fractional ***,some special cases are apprehended and the new outcomes are also *** obtained consequences illuminate that future research is easy to implement,profoundly efficient,viable,and exceptionally precise in its investigation of the behavior of non-linear differential equations of fractional order that emerge in the associated areas of science and engineering.

关键词： Integral inequality generalized fractional integral with respect to another function increasing and decreasing functions Mittag-Leffler function

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Compact Ceshro Operators from Spaces H（p,q,u） to H（p, q, v）

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Acta Mathematicae Applicatae Sinica 2006年第3期22卷 437-442页

作者： Xue-jun Zhang yu-ming chu College of Mathematics and Computer Science Hunan Normal University Changsha 410006 China Department of Mathematics Huzhou Teachers College Huzhou 313000 China

Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded （or compact） from mixed norm spaces H（p, q, μ） to H（p, q, v） in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.

关键词： Cesàro operator boundedness compactness mixed norm space

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Spherical Linear Diophantine Fuzzy Sets with Modeling Uncertainties in MCDM

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Computer Modeling in Engineering & Sciences 2021年第3期126卷 1125-1164页

作者： Muhammad Riaz Masooma Raza Hashmi Dragan Pamucar yu-ming chu Department of Mathematics University of the PunjabLahore54590Pakistan Department of Logistics Military academyUniversity of DefenceBelgrade11000Serbia Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of MathematicalModeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China

The existing concepts of picture fuzzy sets(PFS),spherical fuzzy sets(SFSs),T-spherical fuzzy sets(T-SFSs)and neutrosophic sets(NSs)have numerous applications in decision-making problems,but they have various strict limitations for their satisfaction,dissatisfaction,abstain or refusal *** relax these strict constraints,we introduce the concept of spherical linearDiophantine fuzzy sets(SLDFSs)with the inclusion of reference or control parameters.A SLDFSwith parameterizations process is very helpful formodeling uncertainties in themulti-criteria decisionmaking(MCDM)*** can classify a physical systemwith the help of reference *** discuss various real-life applications of SLDFSs towards digital image processing,network systems,vote casting,electrical engineering,medication,and selection of optimal *** show some drawbacks of operations of picture fuzzy sets and their corresponding aggregation *** new operations on picture fuzzy sets are also *** fundamental operations on SLDFSs and different types of score functions of spherical linear Diophantine fuzzy numbers(SLDFNs)are *** aggregation operators named spherical linear Diophantine fuzzy weighted geometric aggregation(SLDFWGA)and spherical linear Diophantine fuzzy weighted average aggregation(SLDFWAA)operators are developed for a robust MCDM *** application of the proposed methodology with SLDF information is *** comparison analysis of the final ranking is also given to demonstrate the validity,feasibility,and efficiency of the proposed MCDM approach.

关键词： Spherical linear Diophantine fuzzy set new operations of picture fuzzy sets spherical linear Diophantine fuzzy weighted geometric aggregation operator spherical linear Diophantine fuzzy weighted average aggregation operator MCDM

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Dynamical Analysis of the Stochastic COVID-19 Model Using Piecewise Differential Equation Technique

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Computer Modeling in Engineering & Sciences 2023年第12期137卷 2427-2464页

作者： yu-ming chu Sobia Sultana Saima Rashid Mohammed Shaaf Alharthi Department of Mathematics Huzhou UniversityHuzhou313000China Department of Mathematics Imam Mohammad Ibn Saud Islamic UniversityRiyadh12211Saudi Arabia Department of Mathematics Government College UniversityFaisalabad38000Pakistan Department of Mathematics and Statistics College of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia

Various data sets showing the prevalence of numerous viral diseases have demonstrated that the transmission is not truly *** examples are the spread of Spanish flu and *** aimof this research is to develop a comprehensive nonlinear stochastic model having six cohorts relying on ordinary differential equations via piecewise fractional differential ***,the strength number of the deterministic case is carried ***,for the stochastic model,we show that there is a critical number RS0 that can predict virus persistence and infection *** of the peculiarity of this notion,an interesting way to ensure the existence and uniqueness of the global positive solution characterized by the stochastic COVID-19 model is established by creating a sequence of appropriate Lyapunov *** ergodic stationary distribution for the stochastic COVID-19 model is *** findings demonstrate a piecewise numerical technique to generate simulation studies for these *** collected outcomes leave no doubt that this conception is a revolutionary doorway that will assist mankind in good perspective nature.

关键词： COVID-19 epidemic model piecewise fractional differential operators piecewise numerical scheme extinction ergodicity and stationary distribution

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Simulating the Turbulent Hydrothermal Behavior of Oil/MWCNT Nanofluid in a Solar Channel Heat Exchanger Equipped with Vortex Generators

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Computer Modeling in Engineering & Sciences 2021年第3期126卷 855-889页

作者： Rachid Maouedj Younes Menni Mustafa Inc yu-ming chu Houari Ameur Giulio Lorenzini Unite de Recherche en Energies Renouvelables en Milieu Saharien URERMSCentre de Developpement des Energies RenouvelablesCDERAdrar01000Algeria Department of Physics Unit of Research on Materials and Renewable EnergiesFaculty of SciencesAbou Bekr Belkaid UniversityTlemcen13000Algeria Department of Mathematics Science FacultyFirat UniversityElazig23119Turkey Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402Taiwan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Department of Technology University Centre of NaamaNaama45000Algeria Department of Engineering and Architecture University of ParmaParco Area delle Scienze 181/AParma43124Italy

Re-engineering the channel heat exchangers(CHEs)is the goal of many recent studies,due to their great importance in the scope of energy transport in various industrial and environmental *** the internal geometry of the CHEs by using extended surfaces,i.e.,VGs(vortex generators),is the most common technique to enhance the efficiency of heat *** work aims to develop a newdesign of solar collectors to improve the overall energy *** study presents a new channel design by introducing *** FVM(finite volume method)was adopted as a numerical technique to solve the problem,with the use of Oil/MWCNT(oil/multi-walled carbon nano-tubes)nanofluid to raise the thermal conductivity of the flow *** study is achieved for a Re number ranging from12×10^(3) to 27×10^(3),while the concentration(φ)of solid particles in the fluid(Oil)is set to 4%.The computational results showed that the hydrothermal characteristics depend strongly on the flow patterns with the presence of VGs within the *** the Oil/MWCNT rates with the presence of VGs generates negative turbulent velocities with high amounts,which promotes the good agitation of nanofluid particles,resulting in enhanced great transfer rates.

关键词： Channel heat exchanger forced-convection Oil/MWCNT nanofluid CFD vortex generators

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The Spherical q-Linear Diophantine Fuzzy Multiple-Criteria Group Decision-Making Based on Differential Measure

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Computer Modeling in Engineering & Sciences 2024年第2期138卷 1925-1950页

作者： Huzaira Razzaque Shahzaib Ashraf Muhammad Naeem yu-ming chu Institute of Mathematics Khwaja Fareed University of Engineering&Information TechnologyRahim Yar Khan64200Pakistan Department of Mathematics Deanship of Applied SciencesUmm Al-Qura UniversityMeccaSaudi Arabia Department of Mathematics Huzhou UniversityHuzhou313000China

Spherical q-linearDiophantine fuzzy sets(Sq-LDFSs)provedmore effective for handling uncertainty and vagueness in multi-criteria decision-making(MADM).It does not only cover the data in two variable parameters but is also beneficial for three parametric *** Pythagorean fuzzy sets,the difference is calculated only between two parameters(membership and non-membership).According to human thoughts,fuzzy data can be found in three parameters(membership uncertainty,and non-membership).So,to make a compromise decision,comparing Sq-LDFSs is *** measures of different fuzzy sets do,however,can have several flaws that can lead to counterintuitive *** instance,they treat any increase or decrease in the membership degree as the same as the non-membership degree because the uncertainty does not change,even though each parameter has a different *** the Sq-LDFSs comparison,this research develops the differentialmeasure(DFM).Themain goal of the DFM is to cover the unfair arguments that come from treating different types of FSs opposing criteria *** to their relative positions in the attribute space and the similarity of their membership and non-membership degrees,two Sq-LDFSs formthis preference connectionwhen the uncertainty remains same in both *** to the degree of superiority or inferiority,two Sq-LDFSs are shown as identical,equivalent,superior,or inferior over one *** suggested DFM’s fundamental characteristics are *** on the newly developed DFM,a unique approach tomultiple criterion group decision-making is *** suggestedmethod verifies the novel way of calculating the expert weights for Sq-LDFSS as in *** proposed technique in three parameters is applied to evaluate solid-state drives and choose the optimum photovoltaic cell in two applications by taking uncertainty parameter *** method’s applicability and validity shown by the findings are contrasted with those obtained using various

关键词： Multi-criteria group decision-making spherical q-linear Diophantine fuzzy sets differencemeasures photovoltaic cells medical diagnosis

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Computational Analysis of the Effect of Nano Particle Material Motion on Mixed Convection Flow in the Presence of Heat Generation and Absorption

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Computers, Materials & Continua 2020年第11期65卷 1809-1823页

作者： Muhammad Ashraf Amir Abbas Saqib Zia yu-ming chu Ilyas Khan Kottakkaran Sooppy Nisar Department of Mathematics Faculty of ScienceUniversity of SargodhaSargodha40100Pakistan Department of Mathematics COMSATS University IslamabadIslamabad44000Pakistan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh City72915Vietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The present study is concerned with the physical behavior of the combined effect of nano particle material motion and heat generation/absorption due to the effect of different parameters involved in prescribed flow *** formulation of the flow model is based on basic universal equations of conservation of momentum,energy and *** prescribed flow model is converted to non-dimensional form by using suitable *** obtained transformed equations are solved numerically by using finite difference *** the analysis of above said behavior the computed numerical data for fluid velocity,temperature profile,and mass concentration for several constraints that is mixed convection parameterλt,modified mixed convection parameterλc,Prandtl number Pr,heat generation/absorption parameterδ,Schmidt number Sc,thermophoresis parameter Nt,and thermophoretic coefficient k are sketched in graphical *** results for skin friction,heat transfer rate and the mass transfer rate are tabulated for various emerging physical *** is reported that in enhancement in heat,generation boosts up the fluid temperature at some positions of the surface of the *** heat absorption parameter is decreased temperature field increases at position X=π/4 on the other hand,no alteration at other considered circumferential positions is noticed.

关键词： Nano material mixed convection finite difference method heat generation/absorption spheres

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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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MHD flow study of viscous fluid through a complex wavy curved surface due to biomimetic propulsion under porosity and second-order slip effects

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Communications in Theoretical Physics 2021年第8期73卷 1-17页

作者： Pei-Ying Xiong Khurram Javid Mohsin Raza Sami Ullah Khan M Ijaz Khan yu-ming chu College of Science Hunan City UniversityYiyang 413000China Department of Mathematics Northern UniversityWattar-Walai ZiaratKaka Saib Road24110NowsheraKPKPakistan Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mathematics and Statistics Riphah International University 1-14Islamabad 44000Pakistan Department of Mathematics Huzhou UniversityHuzhou 313000China

The steady laminar flow of viscous fluid from a curved porous domain under a radial magnetic field is *** fluid flow by a curved domain is due to peristaltic waves present at the boundary *** whole analysis is based on porosity(Darcy number)***,the effects of second-order slip on the rheology analysis are also *** to the complex nature of the flow regime,we have governed the rheological equations by using curvilinear coordinates in the fixed *** physical influence of magnetic(Hartmann number)and porosity(Darcy number)parameters on the rheological features of peristaltic transportation are argued in detailed(in the wave frame).Additionally,in the current study,the complex wavy pattern on both boundary walls of the channel is *** whole rheological study is based on ancient,but medically valid,assumptions of creeping phenomena and long wavelength *** solutions of the governing equations are obtained by using the simple integration technique in Mathematica software *** core motivation of the present analysis is to perceive the physical influence of embedded parameters,such as the dimensionless radius of the curvature parameter,magnetic parameter,porosity parameter,different amplitude ratios of complex peristaltic waves,first-and second-order slip parameters,on the axial velocity,pressure gradient,local wall shear stress,tangential component of the extra-stress tensor,pumping and trapping phenomena.

关键词： peristaltic waves magnetic field porous medium pumping phenomena second-order slip condition

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