Papers by syed inayat ali shah
Applied Sciences, 2018
Decision making is a cognitive process for evaluating data with certain attributes to come up wit... more Decision making is a cognitive process for evaluating data with certain attributes to come up with the best option, in terms of the preferences of decision makers. Conflicts and disagreements occur in most real world problems and involve the applications of mathematical tools dealing with uncertainty, such as rough set theory in decision making and conflict analysis processes. Afterwards, the Pawlak conflict analysis model based on rough set theory was established. Subsequently, Deja put forward some questions that are not answered by the Pawlak conflict analysis model and Sun’s model. In the present paper, using the notions of soft preference relation, soft dominance relation, and their roughness, we analyzed the Middle East conflict and answered the questions posed by Deja in a good manner.
American Journal of Computational Mathematics, 2015
In this paper, the analytical solution of a viscous and incompressible fluid towards an exponenti... more In this paper, the analytical solution of a viscous and incompressible fluid towards an exponentially stretching porous sheet with surface heat flux in porous medium, for the boundary layer and heat transfer flow, is presented. The equations of continuity, momentum and the energy are transformed into non-linear ordinary differential by using similarity transformation. The solutions of these highly non-linear ordinary differential equations are found analytically by means of Homotopy Analysis Method (HAM). The result obtained by HAM is compared with numerical results presented in the literature. The accuracy of the HAM is indicated by close agreement of the two sets of results. By this method, an expression is obtained which is admissible for all values of effective parameters. This method has the ability to control the convergence of the solution.
Abstract and Applied Analysis, 2013
The aim of this study is to present the use of a semi analytical method called the optimal homoto... more The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind. Three examples are discussed to show the ability of the method to solve the linear Fredholm integral equations of the first kind. The results indicated that the method is very effective and simple.
RIMS Kokyuroku …, 2009
In this article we shall construct a new family of cyclic quartic fields K with odd composite con... more In this article we shall construct a new family of cyclic quartic fields K with odd composite conductors, which give an affirmative solution to a Problem of Hasse(Problem 6 in [12, p. 529 indeed our family consists of cyclic quartic fields whose ring Z_{K} of integers are generated by a single element $\x i $ over Z. We will find an integer $\x i $ in K by the two different ways; one of which is based on an integral basis of Z_{K} and the other is done on a field basis of K.
Drug design, development and therapy, 2016
We examined the solubility of simvastatin in water in 0.01 mol·dm(-3), 0.02 mol·dm(-3), 0.04 mol·... more We examined the solubility of simvastatin in water in 0.01 mol·dm(-3), 0.02 mol·dm(-3), 0.04 mol·dm(-3), 0.09 mol·dm(-3), 0.18 mol·dm(-3), 0.36 mol·dm(-3), and 0.73 mol·dm(-3) arginine (ARG) solutions. The investigated drug is termed the solute, whereas ARG the cosolute. Phase solubility studies illustrated a higher extent of solubility enhancement for simvastatin. The aforementioned system was subjected to conductometric and volumetric measurements at temperatures (T) of 298.15 K, 303.15 K, 308.15 K, and 313.15 K to illustrate the thermodynamics involved and related solute-solvent interactions. The conductance values were used to evaluate the limiting molar conductance and association constants. Thermodynamic parameters (ΔG (0), ΔH (0), ΔS (0), and E s) for the association process of the solute in the aqueous solutions of ARG were calculated. Limiting partial molar volumes and expansibilities were evaluated from the density values. These values are discussed in terms of the solute-...
Journal of Mathematical Analysis and Applications, 2003
Journal of Intelligent & Fuzzy Systems, 2019
The extension of rough set model is a crucial and vast research direction in rough set theory. Me... more The extension of rough set model is a crucial and vast research direction in rough set theory. Meanwhile decision making can be considered as a mental process in which human beings make a choice among several alternatives. However, with the increasing complexity of real decision making problems, the decision makers frequently face the challenge of characterizing their preferences in an uncertain context. In the present paper, we initiate a multi attribute group decision making problem in the presence of multi attribute and multi decision in decision making with preferences. We further present the concept of soft preference relation and soft dominance relation corresponding to decision attribute in the multi criteria and multi decision information system. Further we present the idea of variable precision multi decision soft dominance based rough set model and their applications in solving a multi agent conflict analysis decision problem. The proposed method addresses the limitations of the Pawlak's model and Sun's conflict analysis model and thus improve these models. Finally, the results on labor management negotiation problems show that the proposed algorithms are more effective and efficient for feasible consensus strategy when compared with other techniques.
Annual Research & Review in Biology, 2014
In this paper, we consider a leptospirosis epidemic model with non-linear saturated incidence by ... more In this paper, we consider a leptospirosis epidemic model with non-linear saturated incidence by applying the optimal control techniques to eradicate the infection in the human population. Leptospirosis is the disease which effects human as well as Cattle. Our aim is to find such optimal control techniques for the eradication of leptospira in the host population. To do this, we define three control variables, one for human and the second and third one for Vector population. First we find the existence of the control problem and then we characterize the optimal control problem by using the well-known method of Pontryagin's Maximum Principle. The numerical simulations of both the system are solving Original Research Article
Open Journal of Mathematical Analysis, 2019
Mathematical modeling of infectious diseases has progressed dramatically over the past four decad... more Mathematical modeling of infectious diseases has progressed dramatically over the past four decades and continues to flourish at the nexus of mathematics, epidemiology, and infectious diseases research. Now recognized as a valuable tool, mathematical models are being integrated into the public health decision-making process more than ever before. In this article, a mathematical model of Ebola virus which is named as SEIVR (susceptible, exposed, infected, vaccinated, recovered) model is considered. First, we formulate the model and present the basic properties of the proposed model. Then, basic reproductive number is obtained by using the next-generation matrix approach. Furthermore, the sensitivity analysis of R 0 is also discussed, all the endemic equilibrium points related to the disease are derived, a condition to investigate all possible equilibria of the model in terms of the basic reproduction number is obtained. In last, numerical simulation is presented with and without vaccination or control for the proposed model.
Cogent Mathematics & Statistics, 2019
as soon as possible after acceptance. Copyediting, typesetting, and review of the resulting proof... more as soon as possible after acceptance. Copyediting, typesetting, and review of the resulting proof will be undertaken on this manuscript before final publication of the Version of Record (VoR). Please note that during production and pre-press, errors may be discovered which could affect the content.
Engineering Science and Technology, an International Journal, 2016
We analyzed the unsteady magnetohydrodynamic radiative flow and heat transfer characteristics of ... more We analyzed the unsteady magnetohydrodynamic radiative flow and heat transfer characteristics of a dusty nanofluid over an exponentially permeable stretching surface in presence of volume fraction of dust and nano particles. We considered two types of nanofluids namely Cu-water and CuO-water embedded with conducting dust particles. The governing equations are transformed into nonlinear ordinary differential equations by using similarity transformation and solved numerically using Runge-Kutta based shooting technique. The effects of non-dimensional governing parameters namely magneticfield parameter, mass concentration of dust particles, fluid particle interaction parameter, volume fraction of dust particles, volume fraction of nano particles, unsteadiness parameter, exponential parameter, radiation parameter and suction/injection parameter on velocity profiles for fluid phase, dust phase and temperature profiles are discussed and presented through graphs. Also, friction factor and Nusselt numbers are discussed and presented for two dusty nanofluids separately. Comparisons of the present study were made with existing studies under some special assumptions. The present results have an excellent agreement with existing studies. Results indicated that the enhancement in fluid particle interaction increases the heat transfer rate and depreciates the wall friction. Also, radiation parameter has the tendency to increase the temperature profiles of the dusty nanofluid.
Asian Research Journal of Mathematics, 2018
This article addresses the squeezing nanofluid flow between two parallel plates under the influen... more This article addresses the squeezing nanofluid flow between two parallel plates under the influence of magneto hydrodynamics (MHD) and thermal radiation. One of the plates is fixed and the other is kept stretched. In this study water is considered as a base fluid. Heat and mass transfer aspects are examined in the presence of thermophoresis and Brownian motion. Appropriate variables lead to a strong nonlinear ordinary differential system. The acquired nonlinear system has been solved via the homotopy analysis method (HAM). The convergence of the method has been shown numerically. Also, we obtained Skin friction, local Nusselt number and Sherwood number discussed with reference to flow parameters. The variation of the Skin friction, Nusselt number, Sherwood number and their impacts on the velocity, concentration and temperature profiles are examined.The effects of non-dimensional parameters on velocity, temperature and concentration have been discussed with the help of graphs for both suction and injection cases .Moreover, for comprehension the physical presentation of the embedded parameters, such as unsteady squeezing parameter, Thermal radiation parameter, Peclet number, Thermophoresis parameter, Levis number, Prandtl number, Schmidt number and Brownian motion are plotted and discussed graphically. At the end, we make some concluding remarks in the light of this article.
This research paper investigates the bioconvection magneto hydrodynamics (MHD) squeezing nanoflui... more This research paper investigates the bioconvection magneto hydrodynamics (MHD) squeezing nanofluid flow between two parallel plates. One of the plates is stretched and the other is kept fixed. In this study the water is taken as a base fluid because it is a favorable fluid for living microorganisms. Appropriate variables lead to a strong nonlinear ordinary differential system. The obtained nonlinear system has been solved via homotopy analysis method (HAM). The significant influences of thermophoresis and Brownian motion have also been taken in nanofluid model. The convergence of the method has been shown numerically. The variation of the Skin friction, Nusselt number, Sherwood number and their effects on the velocity, concentration, temperature and the density motile microorganism profiles are examined. It is observed that increasing thermal radiation augmented the temperature of the boundary layer area in fluid layer. This increase leads to drop in the rate of cooling for nanoflui...
Journal of Mathematics, 2020
A subset S of V G is called a total dominating set of a graph G if every vertex in V G is adjacen... more A subset S of V G is called a total dominating set of a graph G if every vertex in V G is adjacent to a vertex in S . The total domination number of a graph G denoted by γ t G is the minimum cardinality of a total dominating set in G . The maximum order of a partition of V G into total dominating sets of G is called the total domatic number of G and is denoted by d t G . Domination in graphs has applications to several fields. Domination arises in facility location problems, where the number of facilities (e.g., hospitals and fire stations) is fixed, and one attempts to minimize the distance that a person needs to travel to get to the closest facility. In this paper, the numerical invariants concerning the total domination are studied for generalized Petersen graphs.
IEEE Access, 2020
Segmentation of images having inhomogeneous intensities is always challenging. In this paper, we ... more Segmentation of images having inhomogeneous intensities is always challenging. In this paper, we propose a model based on new local data statistics using local means and variances for detection of region of interest in medical images suffered from intensity inhomogeneity. This is done by introducing a new probability density function based on coefficient of variation, which is a best measure for inhomogeneous data. The new energy functional in the proposed model is then expressed in terms of level set function and is minimized for optimal energy. Minimization of the energy will lead to a partial differential equation, which is solved by using well known explicit method. Results of the proposed model are compared with other state of the art models and found that the proposed model outperform other existing models. Comparison is given in both qualitative and quantitative way. Furthermore, the proposed model is tested on different type of medical images like MRI, CT, Mammogram and skin lesion etc. INDEX TERMS Gaussian processes, image segmentation, intensity inhomogeneity, level set method, variational techniques.
Computer Modeling in Engineering & Sciences, 2020
Journal of Number Theory, 2002
DEDICATED TO PROFESSOR KATSUMI SHIRATANI ON THE OCCASION OF HIS 70TH BIRTHDAY Let K be the compos... more DEDICATED TO PROFESSOR KATSUMI SHIRATANI ON THE OCCASION OF HIS 70TH BIRTHDAY Let K be the composite field of an imaginary quadratic field QðoÞ of conductor d and a real abelian field L of conductor f distinct from the rationals Q; where ðd; f Þ ¼ 1: Let Z K be the ring of integers in K: Then concerning to Hasse's problem we construct new families of infinitely many fields K with the non-monogenic phenomena (1), (2) which supplement (J. Number Theory 23 (1986), 347-353; Publ. Math. Fac. Sci Besanc¸on, Theor. Nombres (1984) 25pp) and with monogenic (3). (1) If QðoÞathe Gau field QðiÞ; then Z K is of non-monogenesis. (2) If QðoÞ ¼ QðiÞ; then for a sextic field K; Z K is of non-monogenesis except for two fields K of conductors 28 and 36. (3) Let QðoÞ ¼ QðiÞ: If Z K has a power basis, then Z L must have a power basis. Conversely, let L be the maximal real subfield k þ f of a cyclotomic field k f ; namely K be the maximal imaginary subfield of k 4f of conductor 4f : Then Z K has a power basis. # 2002 Elsevier Science (USA)
World Applied Sciences Journal, 2011
Abstract: In this paper, we are mainly concerned with presenting some generalized differential op... more Abstract: In this paper, we are mainly concerned with presenting some generalized differential operators for certain subclasses of analytic functions. We find the radii for which these operators are preserved for different subclasses of analytic functions with fixed ...
佐賀大学理工学部集報, 2000
... 別言語のタイトル, : MONOGENESIS OF THE RINGS OF INTEGERS IN A CYCLIC SEXTIC FIELD OF A PRIME CONDUCTO... more ... 別言語のタイトル, : MONOGENESIS OF THE RINGS OF INTEGERS IN A CYCLIC SEXTIC FIELD OF A PRIME CONDUCTOR. 著者, : Shah,Syed Inayat Ali. 別言語の著者, : Shah,Syed Inayat Ali. 作成日, : 2000-6. 収録種別, : 紀要論文. ISSN, : 03878538. 公開者・出版者, : 佐賀大学理工学部 ...
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Papers by syed inayat ali shah