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Heat transfer analysis of MHD rotating flow of Fe_(3)O_(4)nanoparticles through a stretchable surface

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Communications in Theoretical Physics 2021年第7期73卷 27-41页

作者： Faisal Shahzad Wasim Jamshed Tanveer Sajid kottakkaran sooppy nisar Mohamed R Eid Department of Mathematics Capital University of Science and Technology(CUST)Islamabad44000Pakistan Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi AldawaserSaudi Arabia Department of Mathematics Faculty of ScienceNew Valley UniversityAl-KhargaAl-Wadi Al-Gadid72511 Egypt Department of Mathematics Faculty of ScienceNorthern Border UniversityArar1321Saudi Arabia

The flow of a magnetite-H_(2)O nanofluid has been considered among two rotating surfaces,assuming porosity in the upper ***,the lower surface is considered to move with variable speed to induce the forced *** as well as Coriolis forces impacting on the rotating fluid are likewise taken into *** conversions are employed for the transformation of the governing partial-differential equations into a group of non-dimensional ordinary-differential *** solution of the converted expressions is gained by means of the shooting *** is theoretically found that the nanofluid has less skin friction and advanced heat transport rate when compared with the base *** effect of rotation causes the drag force to elevate and reduces the heat transport *** are portrayed to reveal the impact of injection/suction.

关键词： rotating frame magnetite-water nanofluid flow magnetic field stretching sheet

Two-Phase Flow of Blood with Magnetic Dusty Particles in Cylindrical Region: A Caputo Fabrizio Fractional Model

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Computers, Materials & Continua 2021年第3期66卷 2253-2264页

作者： Anees Imitaz Aamina Aamina Farhad Ali Ilyas Khan kottakkaran sooppy nisar Department of Mathematics City University of Science and Information TechnologyPeshawar25000Pakistan Computational Analysis Research Group Ton Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Science Al-ZulfiMajmaah UniversityAl-Majmaah11952Saudi Arabia Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The present study is focused on the unsteady two-phase flow of blood in a cylindrical *** is taken as a counter-example of Brinkman type fluid containing magnetic(dust)*** oscillating pressure gradient has been considered because for blood flow it is necessary to investigate in the form of a diastolic and systolic *** transverse magnetic field has been applied externally to the cylindrical tube to study its impact on both fluids as well as *** system of derived governing equations based on Navier Stoke’s,Maxwell and heat equations has been generalized using the well-known Caputo–Fabrizio(C–F)fractional *** considered fractional model has been solved analytically using the joint Laplace and Hankel(L&H)*** effect of various physical parameters such as fractional parameter,Gr,M andγ on blood and magnetic particles has been shown graphically using the Mathcad *** fluid behaviour is thinner in fractional order as compared to the classical one.

关键词： Two-phase blood flow dusty fluid Brinkman type model magnetic dusty particles heat transfer C-F derivative

Analysis of Silver Nanoparticles in Engine Oil: Atangana–Baleanu Fractional Model

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Computers, Materials & Continua 2021年第6期67卷 2915-2932页

作者： Saqib Murtaza Farhad Ali Nadeem Ahmad Sheikh Ilyas Khan kottakkaran sooppy nisar Department of Mathematics City University of Science and Information TechnologyPeshawar25000Pakistan Computational Analysis Research Group Ton Duc Thang UniversityHo Chi Minh City70000Vietnam Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh City70000Vietnam Department of Mathematics College of Science Al-ZulfiMajmah UniversityAl-Majmah11952Saudi Arabia Department of Mathematics College of Arts and SciencePrince Sattam bin Abdulaziz UniversityWadi Al-Dawaser11991Saudi Arabia

The present article aims to examine the heat and mass distribution in a free convection flow of electrically conducted,generalized Jeffrey nanofluid in a heated rotatory *** flow analysis is considered in the presence of thermal radiation and the transverse magnetic field of strength *** medium is porous accepting generalized Darcy’s *** motion of the fluid is due to the cosine oscillations of the *** has been formed by the uniform dispersing of the Silver nanoparticles in regular engine *** problem has been modeled in the form of classical partial differential equations and then generalized by replacing time derivative with Atangana–Baleanu(AB)time-fractional *** taking the Laplace transform technique(LTT)and using physical boundary conditions,exact expressions have been obtained for momentum,energy,and concentration *** impact of a number of parameters on fluid flow is shown *** numerical tables have been computed for variation in the rate of heat and mass transfer with respect to rooted ***,the classical solution is recovered by taking the fractional parameter approaching *** is worth noting that by adding silver nanoparticles in regular engine oil,its heat transfer rate increased by 14.59%,which will improve the life and workability of the engine.

关键词： Jeffrey fluid silver nanoparticles engine oil Atangana-Baleanu fractional derivatives Laplace transform technique

An Efficient Technique for One-Dimensional Fractional Diffusion EquationModel for Cancer Tumor

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Computer Modeling in Engineering & Sciences 2024年第11期141卷 1347-1363页

作者： Daasara Keshavamurthy Archana Doddabhadrappla Gowda Prakasha Pundikala Veeresha kottakkaran sooppy nisar Department of Mathematics Davangere UniversityDavangere577007India Center for Mathematical Needs Department of MathematicsCHRIST(Deemed to be University)Bengaluru560029India Department of Mathematics College of Science and Humanities in AlkharjPrince Sattam bin Abdulaziz UniversityAl-Kharj11942Saudi Arabia Saveetha School of Engineering SIMATSChennai602105India

This study intends to examine the analytical solutions to the resulting one-dimensional differential equation of acancer tumor model in the frame of time-fractional order with the Caputo-fractional operator employing a highlyefficient methodology called the q-homotopy analysis transform ***,the preferred approach effectivelyfound the analytic series solution of the proposed *** procured outcomes of the present frameworkdemonstrated that this method is authentic for obtaining solutions to a time-fractional-order cancer *** achieved graphically specify that the concerned paradigm is dependent on arbitrary order and parametersand also disclose the competence of the proposed algorithm.

关键词： Caputo-fractional derivative Laplace transforms cancer tumor model q-homotopy analysis transform method

Secure Communication Scheme based on A New Hyperchaotic System

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Computers, Materials & Continua 2022年第10期73卷 1019-1035页

作者： Khaled Benkouider Aceng Sambas Ibrahim Mohammed Sulaiman Mustafa Mamat kottakkaran sooppy nisar Non Destructive Testing Laboratory Automatic DepartmentJijel UniversityBP.9818000JijelAlgeria Department of Mechanical Engineering Universitas Muhammadiyah TasikmalayaTasikmalayaWest Java46196Indonesia School of Quantitative Sciences College of Art and SciencesUniversiti Utara MalaysiaSintok06010KedahMalaysia Faculty of Informatics and Computing Universiti Sultan Zainal AbidinBesut Campus22200Kuala BesutTerengganuMalaysia Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

This study introduces a new continuous time differential system,which contains ten terms with three quadratic *** new system can demonstrate hyperchaotic,chaotic,quasi-periodic,and periodic behaviors for its different parameter *** theoretical and numerical analysis are investigated to confirm the complex hyperchaotic behavior of our proposed model using many tools that include Kaplan-Yorke dimension,equilibrium points stability,bifurcation diagrams,and Lyapunov *** means of Multisim software,the authors also designed an electronic circuit to confirm our proposed systems’physical *** and Multisim simulation results excellently agree with each other,which validate the feasibility of our new ten terms hyperchaotic system and make it very desirable to use in different domains especially in chaotic-based ***,by employing the drive response synchronisation,we developed a secure communication strategy for the proposed *** from the proposed scheme show that the proposed approach was successful in completing the encryption and decryption procedure.

关键词： Hyperchaotic system synchronization circuit design secure communication system

Heat Transfer in MHD Flow of Maxwell Fluid via Fractional Cattaneo-Friedrich Model:A Finite Difference Approach

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Computers, Materials & Continua 2020年第12期65卷 1959-1973页

作者： Muhammad Saqib Hanifa Hanif T.Abdeljawad Ilyas Khan Sharidan Shafie kottakkaran sooppy nisar Department of Mathematical Sciences Faculty of ScienceUniversiti Teknologi MalaysiaJohor Bahru81310Malaysia Department of Mathematics Sardar Bahadur Khan Women’s UniversityQuettaPakistan Department of Mathematics and General Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Computer Science and Information Engineering Asia UniversityTaichung40402Taiwan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The idea of fractional derivatives is applied to several problems of viscoelastic ***,most of these problems(fluid problems),were studied analytically using different integral transform techniques,as most of these problems are *** idea of the above fractional derivatives is rarely applied to fluid problems governed by nonlinear partial differential *** importantly,in the nonlinear problems,either the fractional models are developed by artificial replacement of the classical derivatives with fractional derivatives or simple classical problems(without developing the fractional model even using artificial replacement)are *** problems were mostly solved for steady-state fluid *** the present article,studied unsteady nonlinear non-Newtonian fluid problem(Cattaneo-Friedrich Maxwell(CFM)model)and the fractional model are developed starting from the fractional constitutive equations to the fractional governing equations;in other words,the artificial replacement of the classical derivatives with fractional derivatives is not done,but in details,the fractional problem is modeled from the fractional constitutive *** exactly two-dimensional magnetic resistive flow in a porous medium of fractional Maxwell fluid(FMF)over an inclined plate with variable velocity and the temperature is *** Caputo time-fractional derivative model(CFM)is used in the governing *** proposed model is numerically solved via finite difference method(FDM)along with L1-scheme for *** numerical results are presented in various *** results indicated that the fractional parameters significantly affect the temperature and velocity *** is noticed that the temperature field increased with an increase in the fractional ***,the effect of fractional parameters is opposite on the velocity field near the ***,this trend became like that of the temperature profile,away from the ***,

关键词： Viscoelastic fluid Cattaneo-Friedrich Maxwell model variable heating magnetohydrodynamic(MHD) porous medium fractional derivatives

Exact Analysis of Non-Linear Fractionalized Jeffrey Fluid.A Novel Approach of Atangana-Baleanu Fractional Model

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Computers, Materials & Continua 2020年第12期65卷 2033-2047页

作者： Saqib Murtaza Farhad Ali Aamina Nadeem Ahmad Sheikh Ilyas Khan kottakkaran sooppy nisar Department of Mathematics City University of Science and Information TechnologyPeshawarKhyber PakhtnkhwaPakistan Computational Analysis Research Group Ton Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Science Al-ZulfiMajmah UniversityAl-Majmah11952Saudi Arabia Department of Mathematics College of Arts and SciencesPrince Sattam Bin Abdulaziz UniversityWadi AldawaserSaudi Arabia

It is a very difficult task for the researchers to find the exact solutions to mathematical problems that contain non-linear terms in the ***,this article aims to investigate the viscous dissipation(VD)effect on the fractional model of Jeffrey fluid over a heated vertical flat plate that suddenly moves in its own *** on the Atangana-Baleanu operator,the fractional model is developed from the fractional constitutive *** is responsible for the non-linear behavior in the *** taking the Laplace and Fourier sine transforms,exact expressions have been obtained for momentum and energy *** influence of relative parameters on fluid flow and temperature distribution is shown *** special cases,and for the sake of correctness,the corresponding results for second-grade fluid and Newtonian viscous fluid are also *** is interesting to note that fractional parameterαprovides more than one line as compared to the classical *** effect represents the memory effect in the fluid which is not possible to elaborate by the classical *** is also worth noting that the temperature profile of the generalized Jeffrey fluid rises for higher values of Eckert number which is due to the enthalpy difference of the boundary layer.

关键词： Viscous dissipation atangana-baleanu fractional derivative laplace transform fourier sine transform

A Structure Preserving Numerical Method for Solution of Stochastic Epidemic Model of Smoking Dynamics

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Computers, Materials & Continua 2020年第10期65卷 263-278页

作者： Ali Raza Muhammad Rafiq Nauman Ahmed Ilyas Khan kottakkaran sooppy nisar Zafar Iqbal Department of Mathematics National College of Business Administration and EconomicsLahorePakistan Faculty of Engineering University of Central PunjabLahorePakistan Department of Mathematics and Statistics The University of LahoreLahorePakistan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and Science at Wadi AldawaserPrince Sattam Bin Abdulaziz UniversityAlkharjSaudi Arabia

In this manuscript,we consider a stochastic smoking epidemic model from behavioural ***,we develop a structure preserving numerical method to describe the dynamics of stochastic smoking epidemic model in a human *** structural properties of a physical system include positivity,boundedness and dynamical *** properties play a vital role in non-linear *** solution for nonlinear stochastic models necessitates the conservation of these ***,the aforementioned properties of the model have not been restored in the existing stochastic ***,it is essential to construct a structure preserving numerical method for a reliable analysis of stochastic smoking *** usual explicit stochastic numerical methods are time-dependent and violate most of the structural *** this work,we have developed the implicitly driven explicit method for the solution of stochastic smoking *** is also proved that the newly developed method sustains all the aforementioned properties of the ***,the convergence analysis of the newly developed method and graphical illustrations are presented.

关键词： Smoking model stochastic numerical techniques convergence

A Study on the Transmission Dynamics of the Omicron Variant of COVID-19 Using Nonlinear Mathematical Models

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Computer Modeling in Engineering & Sciences 2024年第6期139卷 2265-2287页

作者： S.Dickson S.Padmasekaran Pushpendra Kumar kottakkaran sooppy nisar Hamidreza Marasi Department of Mathematics Periyar UniversitySalemTamilnadu636011India Faculty of Engineering and Natural Sciences Istanbul Okan UniversityIstanbulTurkey Department of Mathematics College of Science and Humanities in AlkharjPrince Sattam Bin Abdulaziz UniversityAlkharj11942Saudi Arabia Department of Applied Mathematics Faculty of MathematicsStatistics and Computer ScienceUniversity of TabrizTabrizIran

This research examines the transmission dynamics of the Omicron variant of COVID-19 using SEIQIcRVW and SQIRV models,considering the delay in converting susceptible individuals into infected *** significant delays eventually resulted in the pandemic’s *** ensure the safety of the host population,this concept integrates quarantine and the COVID-19 *** investigate the stability of the proposed *** fundamental reproduction number influences stability *** to our findings,asymptomatic cases considerably impact the prevalence of Omicron infection in the *** real data of the Omicron variant from Chennai,Tamil Nadu,India,is used to validate the outputs.

关键词： Omicron local stability reproduction number steady states global stability