Mathematical Theory and Modeling
http://www.iiste.org/Journals/index.php/MTM
<p><span id="internal-source-marker_0.04939836589619517"><span id="internal-source-marker_0.04939836589619517">Mathematical Theory and Modeling </span>is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of mathematical theories, modelings, and applications. The journal is published in both printed and online versions. The online version is free access and download.</span></p><p><span>IISTE is member of <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.<br /></span></p>en-USMathematical Theory and Modeling2224-5804On FIDEs System by Modified Sumudu Decomposition Method
http://www.iiste.org/Journals/index.php/MTM/article/view/30230
<p>In this paper, the technique of modified Sumudu decomposition method has been employed to solve a system of Fredholm integro-differential equations with initial conditions. Two examples are discussed to show applicability, reliability and the performance of the modified sumudu decomposition method. This study showed the capability, simplicity and effectiveness of the modified approach.<strong></strong></p> <p><strong>Keywords</strong>: Modified Sumudu decomposition method; System of Fredholm integro-differential equations.</p>Madiha Tahir Mariam TahirJamshad Ahmad6ON A GENERALIZATION OF LINEAR POSITIVE OPERATORS FOR FUNCTIONS OF GROUTH 2^(x+y) IN TWO DIMENSIONS (x,y)
http://www.iiste.org/Journals/index.php/MTM/article/view/30231
In<strong> </strong>this paper, we introduce a generalization of linear positive operators....Haneen J. Sadiq6FUZZY INVENTORY MODEL FOR ITEMS WITH WEIBULL DISTRIBUTION DETERIORATION, POWER DEMAND, LINEAR HOLDING COST, SALVAGE COST AND PARTIAL BACKLOGGING
http://www.iiste.org/Journals/index.php/MTM/article/view/30232
<p>The objective of this research article is to develop an inventory model which incorporates power pattern demand, Weibull distribution deterioration, shortages and partial backlogging of orders. Holding cost is taken as time dependent and deteriorated items are assumed to have a salvage value. The cost parameters are fuzzified and the total cost is defuzzified using Graded mean representation, signed distance and centroid methods. The values obtained by these methods are compared with the help of numerical examples. The convexity of the cost function is depicted graphically. Sensitivity analysis is performed to study the effect of change in some parameters.</p> <p><strong>Keywords: </strong>Inventory, Power demand, Partial backlogging, Deterioration, Triangular Fuzzy Number, Defuzzification, Graded mean represented method, Signed Distance Method, centroid method.</p>N.Rajeswari K.IndraniK. Sathyapriya6A Branch and Bound Approach to Optimal Allocation in Stratified Sampling
http://www.iiste.org/Journals/index.php/MTM/article/view/30233
<p>For practical applications of any allocations, integer values of the sample sizes are required. This could be done by simply rounding off the non-integer sample sizes to the nearest integral values. When the sample sizes are large enough or the measurement cost in various strata are not too high, the rounded off sample allocation may work well. However for small samples in some situations the rounding off allocations may become infeasible and non-optimal. This means that rounded off values may violate some of the constraints of the problem or there may exist other sets of integer sample allocations with a lesser value of the objective function. In such situations we have to use some integer programming technique to obtain an optimum integer solution.</p> <p><strong>Keywords</strong>: Stratified sampling, Non-linear Integer Programming, Allocation Problem, Langrangian Multiplier, Branch & Bound Technique</p>N. A. Sofi6Common Fixed Point Results in Convex 2-Metric Space for Altering Distance Function
http://www.iiste.org/Journals/index.php/MTM/article/view/30234
<p>In the present paper some common fixed point results are obtained for altering distance function which satisfies the (E.A.) property with respect to some , where <em>M</em> is <em>q</em>-starshaped subset of a convex 2-metric space. After that some invariant approximation results as an application are obtained for altering distance function. Our results are the special form in altering distance function of [50] and [51]</p> <p><strong>MSC: </strong>47H10; 54H25</p> <p><strong>Keywords: </strong>EA-property; common fixed point; best approximation; compatible<strong> </strong>maps; sub compatible maps, altering distance</p>Nidhi GargavRajesh ShrivastavaRizwana Jamal6STUDY OF STATIC SPHERICALLY SYMMETRIC FLUID DISTRIBUTION IN EINSTEIN –CARTAN THEORY
http://www.iiste.org/Journals/index.php/MTM/article/view/30235
<p>The problem of static fluid sphere in the framework of Einstein-Cartan theory is considered and a new technique to obtain the solution of Einstein –Cartan Field Equations in an analytic form by the method of quadrature is developed. The application of the technique in general cases give some exact solutions in a quite easy manner.</p> <p><strong>Keywords</strong>: Static, Quadrature, Exact Solution</p>Swati Gurjar, Basant Singh6Study on Nielsen Fixed Point Theorem (A Review)
http://www.iiste.org/Journals/index.php/MTM/article/view/30236
<p>Fixed-point theory plays an important role in solving the existence and uniqueness of solutions of differential equation, in solving Eigen value Problems and Boundary Value problems. Fixed-point theory also contributes in characterization of the completeness of matric spaces. Due to its applications in various disciplines of mathematical sciences, the Banach contraction and fixed-point theorems have been established. The ideas have a much wider scope than might be suspected and can be applied to establish many other existence theorem in the theory of differential and integral equations. There arenumerous extension of Banach’s fixed point theorem by generalization its hypothesis while retaining the convergence property of successive iterations the unique fixed point of mapping.Inthepresent paper we discuss about fixed point and Nielsen fixed point theorems with some review</p> <p><strong>Key words: fixed</strong> point, Nielsen fixed point</p>Anjna RajoriyaAbha TenguriaAnil Rajput6Some Fixed Point Results in b-Metric Spaces
http://www.iiste.org/Journals/index.php/MTM/article/view/30237
<p>In this paper, we have obtained some fixed point and common fixed point results on b-metric space.<strong> </strong></p> <p><strong>Keywords: </strong>b-metric space, fixed point, common fixed point, contractive mapping.<strong></strong></p>Rajesh ShrivastavaManish SharmaMahesh Tiwari6Fixed Point Result with Compact Metric Space
http://www.iiste.org/Journals/index.php/MTM/article/view/30238
<p>The goal of this research is to study some fixed point results in compact metric space. We have proved some fixed point theorem for self-mapping satisfying a new contractive condition involving rational expressions in compact metric space.</p>MadhuShrivastava K.QureshiA.D. Singh6On Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Spaces with Rational Inequality
http://www.iiste.org/Journals/index.php/MTM/article/view/30239
<p><strong>: </strong>In this paper, we use the concepts of subcompatibility and subsequential continuity in Intuitionistic Fuzzy Metric Spaces which are respectively weaker than occasionally weak compatibility and reciprocal continuity. With them, we establish a common fixed point theorem for four mapstaking rational inequality.</p> <p><strong>AMS Subject Classification Codes</strong>: 47H10, 54H25</p> <p><strong>Keywords:</strong>Intuitionistic fuzzy metric space, Subcompatibility and Subsequential continuity, common fixed point theorem, implicit relation.</p>P.L. SanodiaA. GuptaV.P. Pandey6FIXED POINT THEOREM IN DISLOCATED QUASI METRIC SPACES
http://www.iiste.org/Journals/index.php/MTM/article/view/30240
<p>In the present paper we established some fixed point results in dislocated quasi metric spaces for random operator. Our results are generalized forms of various known results.</p> <p>Key words: Fixed point, common fixed point, Dislocated Metric spaces</p> <p>AMS classicification: 47 H10</p>Manoj ShuklaMahesh TiwariGourish ParasharRamakant Bhardwaj6SEASONAL MODELLING OF ROAD TRAFFIC ACCIDENT
http://www.iiste.org/Journals/index.php/MTM/article/view/30241
<p>This work modelled road traffic accidents that exhibit seasonal behaviour and non-statioarity in variance. The modelling procedure was demonstrated using monthly road traffic accident data (1999-2014) obtained from federal road safety commission in Port Harcourt, Nigeria. Seasonality and non-stationarity in variance were detected from the series raw plot, autocorrelation and partial autocorrelation functions. To obtain stability in variance and level of the series, some transformation techniques were applied. Seasonal component was incorporated into the Box and Jenkins (1970) ARIMA model to cater for the periodic nature of the series. The resulting estimated seasonal-ARIMA model was subjected to different diagnostic checks, and was found to be adequate. The proposed model was then used to generate forecasts of road traffic accidents for the next thirty months.</p> <p><strong>Keywords: </strong>Stationarity, Seasonality, Transformation, Autocorrelation and Partial autocorrelation.</p>I.A. Iwok6A Mathematical Model for the Spatial Spread of HIV in a Heterogeneous Population
http://www.iiste.org/Journals/index.php/MTM/article/view/30242
<p>An important factor in the dynamic transmission of HIV is the spatio-temporal mobility of the host population. One key challenge in HIV epidemiology therefore, is determining how the spatial structure of the host population influences disease transmission. The aim of this paper is to study how the movement of individuals impacts the spatial spread of HIV. We constructed a deterministic reaction-diffusion equation model for the spread of HIV in a heterosexually mobile population, under the assumption of a varying population size to study the dynamics of HIV spread in a spatially structured population and obtained the minimal wave speed. Then we considered the existence of traveling waves and the influences of parameters on HIV prevalence and the minimal wave speed. Numerical simulation showed that a stationary labyrinthine pattern emerges in the distribution of the infection population density in the two high-risk groups as a result of diffusion.</p> <p><strong> </strong></p> <p><strong>Keywords: </strong>Spatial distribution, HIV, reaction-diffusion, epidemiology.</p>Titus G. KassemEmmanuel J.D. Garba6SOME RESULTS ON SEMI-REFLEXIVITY AND REFLEXIVITY IN LOCALLY CONVEX SPACES
http://www.iiste.org/Journals/index.php/MTM/article/view/30243
<p><strong> </strong>In this paper we discuss that if E[] is a barreled space such that every bounded subset of E is relatively compact, then E[] is reflexive, and that a barreled space E[τ] in which there is a denumerable system of convex compact subsets is reflexive. We also discuss Some hereditary-type properties of reflexive locally convex spaces.</p> <p><strong>Keywords</strong>: Bornological space, barreled, hereditarily-reflexive, M-space, quasi-complete, reflexive, strong dual.</p> <p><strong>AMS (2010) Mathematics Subject Classification</strong>: 46A25.</p>G. C. DubeyS.S. RajputAtar Singh Meena6Approximate solution of two-dimensional Volterra integral equation by Chebyshev polynomial method and Adomian decomposition method
http://www.iiste.org/Journals/index.php/MTM/article/view/30244
In this paper we investigate the numerical solution of two dimensional Volterra integral equations by two different methods, Chebyshev polynomial and Adomian decomposion method. Two numerical examples are given to illustrate the methods. Acomparison between the two methods is given. keywords: Chebyshev polynomials , Adomian decomposion method , two dimensional integral equations , collocation points.M.H. SalehD.Sh. MohamedR.A. Taher6A numerical Approach for solving classes of Linear and Nonlinear Volterra Integral Equations by Chebyshev polynomial
http://www.iiste.org/Journals/index.php/MTM/article/view/30245
In this paper we propose a numerical method for solving classes of of linear and nonlinear Volterraintegral equations having regular as well as weakly singular kernels. The method is based upon replacingthe unknown function by a truncated shifted Chebyshev series. This yeilds either a linear system ofalgebraic equations that can be solved using matrix algebra or a nonlinear system that can be solved byNewton’s iterative method. This method is effective and so easy to apply with low cost of computingoperations. The accuracy and efficiency of the method can be shown through the illustrated numericalexamples.keywords: Volterra integral equations, Newton’s method, Simpson’s method, Chebyshev polynomials,Shifted Chebyshev polynomials.Mathematics Subject Classification: 45B05 , 45Bxx , 65R10M.H. SalehD.Sh. MohammedS.R. Shammala6