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 Energy Estimates for Damped String-Like Equation Considering Dirichlet, Neumann and Robin Boundary Conditions
http://www.iiste.org/Journals/index.php/MTM/article/view/32785
This article provides detailed construction of energy estimates of the viscous damping aspects for axially moving string, which is modeled by a linear homogeneous sting-like equation, will be studied. The nine different boundary conditions are considered for the axially moving continua. The problem at hand describes the damped vertical vibrations of string-like equations, for example, a conveyor belt system and a band-saw blade. In this work, the velocity and coefficient of damping are kept positive and fixed. The stability of the system substantially depends upon change in boundary and subsequently boundary conditions. Also a decay in oscillatory energy is observed in all the considered cases of boundary conditions due to viscous damping. In some cases, the belt energy may increase or may decrease due to variations in different parameters . This exposes the uncertainty in these cases. Keywords: Belt Conveyor, String, Axially translating, Viscous dampingSajad H. SandiloAbdul Hanan SheikhRajab A. Malookani6Decomposition Method for Kdv Boussinesq and Coupled Kdv Boussinesq Equations
http://www.iiste.org/Journals/index.php/MTM/article/view/32786
<p>This paper obtains the solitary wave solutions of two different forms of Boussinesq equations that model the study of shallow water waves in lakes and ocean beaches. The decomposition method using He’s polynomials is applied to solve the governing equations. The travelling wave hypothesis is also utilized to solve the generalized case of coupled Boussinesq equations, and, thus, an exact soliton solution is obtained. The results are also supported by numerical simulations.</p> <p><strong>Keywords:</strong> Decomposition Method, He’s polynomials, cubic Boussinesq equation, Coupled Boussinesq equations</p>Muhammad NaeemMariyam MushtaqJamshad Ahmad6A Common Unique Random Fixed Point Theorem in 2 - Hilbert Space
http://www.iiste.org/Journals/index.php/MTM/article/view/32787
<p>The object of this paper is to obtain a common unique fixed point theorem for two continuous random operators defined on a non empty closed subset of a separable 2 - Hilbert space.</p> <p><strong>Mathematics Subject Classification: </strong>47H10, 54H25</p> <p><strong>Keywords: </strong>Separable Hilbert space, random operators, common random fixed-point</p>V. K. AgrawalAjay soniAmit Kumar DiwakarK. K. Wadhwa6Bayesian estimation of the scale parameter and survival function of weighted weibull distribution under different loss functions using r software
http://www.iiste.org/Journals/index.php/MTM/article/view/32788
<p>In this paper, we propose to obtain the Bayesian estimators of the scale parameter of a three parameter weighted weibull distribution, based on non-informative and informative priors using Entropy loss function and Quadratic loss function. The risk functions of these estimators have been studied.<strong> </strong>A real life example has been used to compare the performance of the estimates under different loss functions.<strong> </strong></p> <p><strong> </strong></p> <p><strong>Keywords: </strong>Weighted Weibull distribution, Jeffery’s prior and Gamma prior, loss functions.</p>Kawsar FatimaS.P Ahmad6The Design of Prosthetic Rehabilitation and Special Treatment into The Water for The Amputation Below the Knee
http://www.iiste.org/Journals/index.php/MTM/article/view/32789
<p>My project is about creation of temporary prosthetic leg for advanced stages rehabilitation underwater for the patient who had an amputation surgery under knee for his leg. And design prosthetic with mechanical movement of ankle joint like ankle joint of normal leg, suitable with mechanical movement of water for moving objects in the water, with constant kinetic analysis for prosthetic and normal leg in the water and also analyzing the angles of lower limbs. And the prosthetic leg is water resistance and easy to wear and with suitable price.</p>Reem Salam6Unique Invariant Point Theorems for Random operators In Hilbert Space
http://www.iiste.org/Journals/index.php/MTM/article/view/32790
<p>We find unique common random fixed point of two random operators in closed subset of a separable Hilbert space by considering a sequence of measurable functions satisfying Theorem 1.1 and Theorem 1.2.</p> <p><strong>Keywords:</strong> Separable Hilbert space, random operators, common random fixed point.</p>V. K. AgrawalKamal WadhwaAmit Kumar Diwakar6Unit-free strongly commuting Regular Rings
http://www.iiste.org/Journals/index.php/MTM/article/view/32791
<p>In this paper, ring <em>R</em> satisfying in the condition <em>xy</em> = (<em>yx</em>)<sup>2</sup><em>a</em>(<em>yx</em>)<sup>2</sup> for all <em>x; y</em> <em>2</em> <em>R</em> <em>n</em> <em>U</em> with some a in <em>R</em> and is called Unit-free strongly commuting Regular Rings. We observe the structure of a Unit-free strongly commuting regular ring. In this paper shown that R is a Unit-free strongly commuting regular ring, then <em>R</em> is an abelian ring. we also proved that <em>R </em>is a Unit-free strongly commuting regular ring, then<em> J</em>(<em>R</em>)<em> </em><em>_</em><em> N </em>(<em>R</em>) and shown that<em> R </em>is a local ring with <em>J</em>(<em>R</em>)<sup>2</sup> = 0 and also, we proved some main properties of the Unit-free strongly commuting regular rings and we give a necessary and su cient condition that a ring is Unit-free strongly commuting regular.</p> <p><strong>Keywords</strong>: <em>regular rings; Strongly commuting regular rings; Unit free commuting</em> <em>regular rings; reduced rings:</em></p>Shabanali Safari SabetSakineh Saadati6On The Relationship Between Aboodh Transform and New Integral Transform " ZZ Transform"
http://www.iiste.org/Journals/index.php/MTM/article/view/32792
<p>In this paper we discusses some relationship between Aboodh transform and the new integral transform called ZZ transform, we solve first and second order ordinary differential equations with constant and non-constant coefficients , using both transforms ,and showing ZZ transform is closely connected with Aboodh transform.</p> <p><strong>Keywords: </strong>Aboodh Transform, ZZ Transform, Differential equations</p>Mohand M. Abdelrahim MahgoubAbdelbagy A. Alshikh6