International Journal of Theoretical and Applied Mathematics

Volume 3, Issue 6, December 2017

  • He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations

    Bijan Krishna Saha, A. M. Mohiuddin, Sushanta Parua

    Issue: Volume 3, Issue 6, December 2017
    Pages: 174-181
    Received: 29 April 2017
    Accepted: 8 October 2017
    Published: 10 November 2017
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    Abstract: In this paper, linear and non-linear Fredholm Integro-Differential Equations with initial conditions are presented. Aiming to find out an analytic and approximate solutions to linear and non-linear Fredholm Integro-Differential Equations, this paper presents a comparative study of He’s Homotopy perturbation method with other traditional methods nam... Show More
  • New Fixed Point Theorems for Mixed Monotone Operators with Perturbation and Applications

    Fengxia Zheng

    Issue: Volume 3, Issue 6, December 2017
    Pages: 182-190
    Received: 29 September 2017
    Accepted: 23 October 2017
    Published: 15 November 2017
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    Abstract: By using the properties of cone and the fixed point theorem for mixed monotone operators in ordered Banach spaces, we investigate the mixed monotone operators of a new type with perturbation. We establish some sufficient conditions for such operators to have a new existence and uniqueness fixed point and provide monotone iterative techniques which ... Show More
  • Damping Properties of Vibrations of Three-Layer VIscoelastic Plate

    Safarov Ismail Ibrahimovich, Teshayev Muhsin Khudoyberdiyevich, Boltayev Zafar Ixtiyorovich, Akhmedov Maqsud Sharipovich

    Issue: Volume 3, Issue 6, December 2017
    Pages: 191-198
    Received: 28 September 2017
    Accepted: 3 November 2017
    Published: 30 November 2017
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    Abstract: The work is devoted to the study of harmonic waves in a hereditarily elastic plate with two viscoelastic coatings, the properties of the material, which are described by the equations of state in integral form. The fractional exponential function of Rabotnov and Koltunov-Rzhanitsyn was chosen as the kernel of the integral operator. Two cases are co... Show More
  • New Pragmatic Algorithms to Improve Factoring of Large Numbers

    Mohamed Zaki Abd El-Mageed, Hassan Hussein

    Issue: Volume 3, Issue 6, December 2017
    Pages: 199-202
    Received: 28 September 2017
    Accepted: 13 November 2017
    Published: 5 December 2017
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    Abstract: Rivest, Shamir, Adleman, RSA algorithm is a popular public key cryptosystem and is known to be secure, however, this fact relies on the difficulty of factoring large numbers. No algorithm has been published that can factor all integers in polynomial time. This paper proposes a new function that can be used to improve the process of factoring intege... Show More
  • On the Equilibrium Without Loss in the Discrete Time Models of Economic Dynamics

    Sabir Isa Hamidov

    Issue: Volume 3, Issue 6, December 2017
    Pages: 203-209
    Received: 8 August 2017
    Accepted: 9 November 2017
    Published: 13 December 2017
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    Abstract: The model of economic dynamics with a fixed budget is considered. The conditions are derived under which the model with a fixed budget has an equilibrium state with the equilibrium prices. The necessary and sufficient conditions for the existence of equilibrium prices are found.
  • A Differential Evolution Heuristic for Integrated Production-Distribution Scheduling in Supply Chain Management

    Setareh Abedinzadeh, Hamid Reza Erfanian, Mojtaba Arabmomeni, Roya Soltani

    Issue: Volume 3, Issue 6, December 2017
    Pages: 210-218
    Received: 27 September 2016
    Accepted: 5 January 2017
    Published: 18 December 2017
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    Abstract: A supply chain may be considered as an integrated process in which a group of several organizations, work together. The two core optimization problems in a supply chain are production and distribution planning. In this research, we develop an integrated production-distribution (P-D) model. The problem is formulated as a mixed integer programming (M... Show More
  • The Proof of the Riemann Hypothesis on a Relativistic Turing Machine

    Yuriy N. Zayko

    Issue: Volume 3, Issue 6, December 2017
    Pages: 219-224
    Received: 2 October 2017
    Accepted: 13 November 2017
    Published: 2 January 2018
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    Abstract: In this article, the proof of the Riemann hypothesis is considered using the calculation of the Riemann ζ-function on a relativistic computer. The work lies at the junction of the direction known as "Beyond Turing", considering the application of the so-called "relativistic supercomputers" for solving non-computable problems and a direction devoted... Show More
  • Differential Geometry: An Introduction to the Theory of Curves

    Kande Dickson Kinyua, Kuria Joseph Gikonyo

    Issue: Volume 3, Issue 6, December 2017
    Pages: 225-228
    Received: 4 December 2016
    Accepted: 18 January 2017
    Published: 10 January 2018
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    Abstract: Differential geometry is a discipline of mathematics that uses the techniques of calculus and linear algebra to study problems in geometry. The theory of plane, curves and surfaces in the Euclidean space formed the basis for development of differential geometry during the 18th and the 19th century. The core idea of both differential geometry and mo... Show More
  • A Hybrid Genetic Algorithm-Simulated Annealing for Integrated Production-Distribution Scheduling in Supply Chain Management

    Setareh Abedinzadeh, Hamid Reza Erfanian, Mojtaba Arabmomeni

    Issue: Volume 3, Issue 6, December 2017
    Pages: 229-238
    Received: 27 September 2016
    Accepted: 10 January 2017
    Published: 14 January 2018
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    Abstract: In this paper, we present an integrated production-distribution (P-D) model which considers rail transportation to move deteriorating items. The problem is formulated as a mixed integer programming (MIP) model, which could then be solved using GAMS optimization software. A hybrid genetic algorithm-simulated annealing (GA-SA) is developed to solve t... Show More
  • Structural Controllability and Observability in Industrial N 2 State Charts Applied to a Supervisory Servo Controller

    Ying Shang

    Issue: Volume 3, Issue 6, December 2017
    Pages: 239-243
    Received: 7 June 2017
    Accepted: 24 July 2017
    Published: 14 January 2018
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    Abstract: This paper presents that the structural controllability and observability can be used for a class of discrete event systems modeled by industry-standard N-squared diagrams. The main results of this paper provide analytical assessment of large scale industrial system properties before the software simulation and hardware demonstration; therefore it ... Show More