Browsing Theses (Master's and Ph.D) – Mathematics by Title

EMU I-REP

Browsing Theses (Master's and Ph.D) – Mathematics by Title

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  • A New Kantorovich Type q-analogue of the Balazs-Szabados Operators 
    Hamal, Hayatem Faraj (Doğu Akdeniz Üniversitesi, 2021-01)
    This thesis consists of four chapters. In the first chapter, the introduction is offered. In the second chapter, we give the definitions, concepts and important theorems related with linear positive operators. We mention ...
  • Nonlinear Sequential and Non Sequential Fractional Differential Equations with Integral Boundary Conditions 
    Awadalla, Muath Moh'd Idris (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    This thesis relies on various fractional differential equations. Based on the classical fixed point theorem summarized by what known as the Banach contraction mapping theorem, nonlinear alternative of Leray-Schauder type ...
  • Novel Approaches for Relation Extraction in Biomedical Domain 
    Onye, Stanley Chika (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Relation extraction an important field in Biomedical Natural Language Processing is the study of identifying relations between entity mentions. The extraction of relation instances over multiple sentence mention levels ...
  • Numerical Approximation Methods using Multiplicative Calculus 
    Aktöre, Hatice (Eastern Mediterranean University EMU, 2015-09)
    In this thesis, the 2nd, 3rd and 4th order multiplicative Runge-Kutta Methods are developed in analogy to the classical Runge-Kutta Method. The error analysis is only carried out for the 4th order multiplicative Runge-Kutta ...
  • Numerical Methods for Solving Systems of Ordinary Differential Equations 
    Hürol, Simruy (Eastern Mediterranean University (EMU), 2013)
    ABSTRACT: This thesis concantrates on numerical methods for solving ordinary differential equations. Firstly, we discuss the concept of convergence, local-truncation error, globaltruncation error, consistency, types of ...
  • Numerical Solution of Diffusion Equation in One Dimension 
    Zangana, Zana Salahaldeen Rashid (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-07)
    ABSTRACT: In this thesis we studied the numerical techniques for the solution of one dimensional diffusion equations. The discrete approximation of the model problem is based on different finite difference schemes. These ...
  • Numerical Solutions of Fractional Differential Equations 
    Avcı, İbrahim (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020)
    In this thesis, we focus on numerical solutions of general linear multi-term fractional differential equations (FDEs) with fractional derivatives defined in the Caputo sense. Multi-term fractional order differential ...
  • Numerical Solutions of Fractional Differential Equations 
    Avcı, İbrahim (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-09)
    Fractional analysis has almost the same history as classical calculus. Fractional analysis did not attract enough attention for a long time. However, in recent decades, fractional analysis and fractional differential ...
  • On A Comparative Study of Direct Solution Methods of the Discrete Poisson’s Equation on A Rectangle 
    Adekanmbi, Damilola Victoria (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016-06)
    The solution of systems of algebraic equations arising from the 5-point discretization of Poisson’s equation on a rectangle with Dirichlet boundary conditions is analyzed by direct solution methods. Special emphasis is ...
  • On an Alternative View to Complex Calculus 
    Sigaroodi, Sajedeh Norozpour (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    A review of complex calculus in use today, shows that new techniques to solve multivalued nature of logarithmic functions that cause lots of difficulties to work on this subject. One such techniques is re-orientation of ...
  • On Caputo Type Sequential Fractional Differential Equations 
    Hussein, Hemn Pirot (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017-01)
    The goal of this thesis is to give basic information about fractional calculus, and fractional differential equations of different types and study the existence and uniqueness of certain type of fractional differential ...
  • On continued fractions 
    Belaghi, Mahmoud Jafari (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2013-01)
    In this thesis we concern two problems related to continued fractions. Euler's differential method: we apply Euler's differential method, which was not used by mathematicians for a long time, to derive a new formula for ...
  • On Fractional Differential Equations 
    Khaleel, Hogir Ageed (Eastern Mediterranean University EMU, 2015-09)
    In this thesis, we collect some results on sufficient conditions for the existence and unique of solutions for various classes of initial and boundary value problem for fractional differential equations involving the Caputo ...
  • On Impulsive Sequential Fractional Differential Equations (ISFDE’s) 
    Ghadaireh, Bilal Sami Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    In this thesis, we study the existence and uniqueness of a nonlinear impulsive sequential fractional differential equations of order 1,2 involving Liouville-Caputo fractional derivative supplemented with the separate ...
  • On q-Analogue and (p,q)–Analogue of Gamma and Beta Functions 
    Al-Khateeb, Areen Saber (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2017-01)
    ABSTRACT: In this study we discuss the integral representation of the q-analogue of two special functions, q-GF (gamma function) and q-BF (beta function). This discussion gives a very attractive q-constant.Also, we get the ...
  • On the ω-Multiple Charlier Polynomials 
    Baran, Gizem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2021-09)
    ABSTRACT: Appell polynomials are certain family having wide range of application areas from numerical analysis to analytic function theory. They were defined by Paul Emile Appell in 1880. The most famous Appell polynomials ...
  • Partial Approximate Controllability of Semilinear Control Systems 
    Ghahramanlou, Noushin Houshyar (Eastern Mediterranean University EMU, 2015-09)
    Most of the controllability concepts are for first ordered differential equations, while not all the control systems are of this kind; but by increasing the dimension of the state space, one can rewrite the control system ...
  • Partial Complete Controllability of Semilinear Control Systems 
    Jneid, Maher (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-07)
    This work is devoted to examining the partially complete controllability for deterministic semilinear systems in Hilbert spaces. Besides reviewing briefly some existing results of controllability concepts, two main sets ...
  • Performance Analysis of Hill Cipher and Its Modifications 
    Akgün, Gülbahar (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2015-02)
    ABSTRACT: The history of cryptography goes to several thousand years back when ancient Egyptions tried to hide text by using unusual hieroglyphs instead of more ordinary ones here and there on a tablet. Although lot of ...
  • Person-Dependent and Person-Independent Analysis of Emotion Recognition using Facial Expressions 
    Bashirov, Enver (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019)
    Facial emotion recognition is one of the prospective fields which can have various applications in many different areas. However, there is a huge difference between a personalized and non-personalized emotion recognition. ...