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Chinese Physics B 2013年第2期22卷 314-319页

作者： Krishnendu Bhattacharyya Tasawar Hayat ahmed alsaedi Department of Mathematics The University of BurdwanBurdwan-713104West BengalIndia Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Department of Mathematics Faculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia

In this analysis,the magnetohydrodynamic boundary layer flow of Casson fluid over a permeable stretching/shrinking sheet in the presence of wall mass transfer is *** similarity transformations,the governing equations are converted to an ordinary differential equation and then solved *** introduction of a magnetic field changes the behavior of the entire flow dynamics in the shrinking sheet case and also has a major impact in the stretching sheet *** similarity solution is always unique in the stretching case,and in the shrinking case the solution shows dual nature for certain values of the *** stronger magnetic field,the similarity solution for the shrinking sheet case becomes unique.

关键词： magnetohydrodynamic boundary layer Casson fluid stretching/shrinking sheet wall mass transfer analytic solution

Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet

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Chinese Physics B 2014年第12期23卷 289-292页

作者： Krishnendu Bhattacharyya Tasawar Hayat ahmed alsaedi Department of Mathematics The University of Burdwan Department of Mathematics Quaid-I-Azam University Department of Mathematics Faculty of Science King Abdulaziz University

An analysis is carried out for dual solutions of the boundary layer flow of Maxwell fluid over a permeable shrinking sheet. In the investigation, a constant wall mass transfer is considered. With the help of similarity transformations, the governing partial differential equations（PDEs） are converted into a nonlinear self-similar ordinary differential equation（ODE）. For the numerical solution of transformed self-similar ODE, the shooting method is applied. The study reveals that the steady flow of Maxwell fluid is possible with a smaller amount of imposed mass suction compared with the viscous fluid flow. Dual solutions for the velocity distribution are obtained. Also, the increase of Deborah number reduces the boundary layer thickness for both solutions.

关键词： dual solutions boundary layer flow Maxwell fluid porous shrinking sheet

Solitary Wave Solutions of Some Nonlinear Physical Models Using Riccati Equation Approach

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Acta Mathematicae Applicatae Sinica 2020年第2期36卷 401-418页

作者： Zaid ODIBAT ahmed alsaedi Tasawar HAYAT School of Basic Sciences and umanities German Jordanian UniversityAmman 11180Jordan Nonlinear Analysis and Applied Mathematics(NAAM)Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics Quaid-I-Azam UniversityIslamabad 44000Pakistan

Riccati equation approach is used to look for exact travelling wave solutions of some nonlinear physical *** wave solutions are established for the modified KdV equation,the Boussinesq equation and the Zakharov-Kuznetsov *** generalized solitary wave solutions with some free parameters are *** obtained solutions,which includes some previously known solitary wave solutions and some new ones,are expressed by a composition of Riccati differential equation solutions followed by a *** employed approach,which is straightforward and concise,is expected to be further employed in obtaining new solitary wave solutions for nonlinear physical problems.

关键词： solitary wave solution Riccati equation the modified KdV equation the Boussinesq equation the Zakharov-Kuznetsov equation

Numerical simulation for Darcy-Forchheimer 3D rotating flow subject to binary chemical reaction and Arrhenius activation energy

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Journal of Central South University 2019年第5期26卷 1250-1259页

作者： Tasawar HAYAT Arsalan AZIZ Taseer MUHAMMAD ahmed alsaedi Department of Mathematics Quaid-I-Azam UniversityIslamabad 44000Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics Government College Women UniversitySialkot 51310Pakistan

Three-dimensional Darcy-Forchheimer nanoliquid flow in the presence of rotating frame and activation energy is *** is developed through linearly stretching of the *** of heat and mass exchange is given due *** novel characteristics in regards to Brownian dispersion and thermophoresis are *** variation in partial differential framework (PDEs) to nonlinear ordinary differential framework (ODEs) is done through reasonable *** differential frameworks have been computed in edge of *** regarding thermal field and concentration distribution for several involved parameters is pivotal *** amounts like surface drag coefficients,transfer of heat and mass rates are portrayed by numeric *** is noticed that impacts of porosity parameter and Forchheimer number on the thermal and concentration fields are quite *** temperature and associated thermal layer thickness are enhanced for larger porosity parameter and Forchheimer *** and concentration fields exhibit similar trend for the higher values of rotational *** of thermal and concentration Biot numbers on the temperature and concentration fields are qualitatively *** Prandtl and Schmidt numbers correspond to stronger temperature and concentration *** nondimensional activation energy,temperature difference parameter and fitted rate constant yield weaker concentration *** motion parameter for temperature and concentration has reverse effects while similar trend is observed via thermophoresis parameter.

关键词： nanoparticles rotating frame Arrhenius activation energy Darcy-Forchheimer porous space numerical solution

Features of Darcy-Forchheimer flow of carbon nanofluid in frame of chemical species with numerical significance

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Journal of Central South University 2019年第5期26卷 1260-1270页

作者： Tasawar HAYAT Khursheed MUHAMMAD ahmed alsaedi Muhammas FAROOQ Department of Mathematics Quaid-I-Azam UniversityIslamabad 44000Pakistan Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics Riphah International UniversityIslamabad 44000Pakistan

Present work reports chemically reacting Darcy-Forchheimer flow of *** is utilized as base liquid while carbon nanotubes are considered *** exponential stretchable curved surface flow is *** source is *** relation of nanoliquid is employed to explore the feature of CNTs (single and multi-wall).Transformation technique is adopted in order to achieve non-linear ordinary differential *** governing systems are solved *** of involved parameters on flow,temperature,concentration,heat transfer rate (Nusselt number) with addition of skin friction coefficient are illustrated *** in velocity is noted with an increment in Forchheimer number and porosity parameter while opposite impact is seen for ***,role of MWCNTs is prominent when compared with SWCNTs.

关键词： chemical reaction Darcy-Forchheimer flow exponential stretched curved surface carbon nanomaterial numerical solution

Numerical treatment for Darcy-Forchheimer flow of carbon nanotubes due to an exponentially stretching curved surface

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Journal of Central South University 2019年第4期26卷 865-872页

作者： Tasawar HAYAT Farwa HAIDER Taseer MUHAMMAD ahmed alsaedi Department of Mathematics Quaid-I-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of MathematicsFaculty of Science King Abdulaziz University Department of Mathematics Government College Women University

This article gives a numerical report to two dimensional(2D)Darcy-Forchheimer flow of carbon-water *** is instigated by exponential extending curved *** liquid in permeable space is described by *** subsequent arrangement of partial differential equations is changed into ordinary differential framework through proper *** arrangements of governing frameworks are set up by NDSolve *** of different sundry parameters on temperature and velocity are *** friction and heat transfer rate are also shown and inspected.

关键词： carbon nanotube Darcy-Forchheimer flow exponentially stretching curved surface numerical solution

Darcy–Forchheimer Three-Dimensional Flow of Williamson Nanofluid over a Convectively Heated Nonlinear Stretching Surface

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Communications in Theoretical Physics 2017年第9期67卷 387-394页

作者： Tasawar Hayat Arsalan Aziz Taseer Muhammad ahmed alsaedi Department of Mathematics Quaid-I-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of ScienceKing Abdulaziz University

The present study elaborates three-dimensional flow of Williamson nanoliquid over a nonlinear stretchable surface. Fluid flow obeys Darcy–Forchheimer porous medium. A bidirectional nonlinear stretching surface generates the flow. Convective surface condition of heat transfer is taken into consideration. Further the zero nanoparticles mass flux condition is imposed at the boundary. Effects of thermophoresis and Brownian diffusion are considered. Assumption of boundary layer has been employed in the problem formulation. Convergent series solutions for the nonlinear governing system are established through the optimal homotopy analysis method(OHAM). Graphs have been sketched in order to analyze that how the velocity, temperature and concentration distributions are affected by distinct emerging flow parameters. Skin friction coefficients and local Nusselt number are also computed and discussed.

关键词： three-dimensional flow Williamson fluid nanoparticles Darcy-Forchheimer porous medium con-vective boundary condition nonlinear stretching surface

Stability analysis for a class of impulsive competitive neural networks with leakage time-varying delays

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Science China(Technological Sciences) 2018年第9期61卷 1384-1403页

作者： AOUITI Chaouki ASSALI El Abed CAO Jin De alsaedi ahmed Facuity of Sciences of Bizerta Department of Mathematics Research Units of Mathematics and Applications UR13ES47 University of Carthage Bizerta 7021 Tunisia School of Mathematics Southeast University Nanjing 210096 China School of Mathematics and Statistics Shandong Normal University Jinan 250014 China Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics King Abdulaziz University Jeddah 21589 Saudi Arabia

In this paper, we consider the existence, the uniqueness, the global exponential stability, the global asymptotic stability, the uniform asymptotic stability and the uniform stability of the equilibrium point of impulsive competitive neural networks with distributed delays and leakage time-varying delays. The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem. By finding suitable Lyapunov-Krasovskii functional, some sufficient conditions are derived ensuring some kinds of stability. Finally, several examples and their simulations are given to illustrate the effectiveness of the obtained results.

关键词： competitive neural networks leakage delay asymptotic stability global exponential stability impulse

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS

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Acta Mathematica Scientia 2011年第6期31卷 2122-2130页

作者： Bashir Ahmad Juan J. Nieto ahmed alsaedi Department of Mathematics Faculty of ScienceKing Abdulaziz University Departamento de Anlisis Matemtico Facultad de MatemticasUniversidad de Santiago de Compostela

In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q （1 〈 q 〈 2） with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.

关键词： fractional differential equations non-separated integral boundary conditions contraction principle Krasnoselskii's fixed point theorem LeraySchauder degree

Melting Heat in Radiative Flow of Carbon Nanotubes with Homogeneous-Heterogeneous Reactions

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Communications in Theoretical Physics 2018年第4期69卷 441-448页

作者： Tasawar Hayat Khursheed Muhammad Taseer Muhammad ahmed alsaedi Department of Mathematics Quaid-I-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of ScienceKing Abdulaziz University Department of Mathematics Government College Women University

The present article provides mathematical modeling for melting heat and thermal radiation in stagnationpoint flow of carbon nanotubes towards a nonlinear stretchable surface of variable thickness. The process of homogeneousheterogeneous reactions is considered. Diffusion coefficients are considered equal for both reactant and *** and gasoline oil are taken as base fluids. The conversion of partial differential system to ordinary differential system is done by suitable transformations. Optimal homotopy technique is employed for the solutions development of velocity, temperature, concentration, skin friction and local Nusselt number. Graphical results for various values of pertinent parameters are displayed and discussed. Our results indicate that the skin friction coefficient and local Nusselt number are enhanced for larger values of nanoparticles volume fraction.

关键词： stagnation-point flow carbon nanotubes (SWCNTs and MWCNTs) base fluids (water and gasoline oil) homogeneous-heterogeneous reactions melting heat transfer thermal radiation