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

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

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  • 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. ...
  • Petri Net-Based Quantitative Modeling and Validation of p16-mediated Signaling Pathway 
    Akçay, Nimet İlke (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    It has been a few decades since computer-based quantitative modeling methods are being applied to biological systems for enabling illustration and investigation of biological processes in a realistic way. One of the various ...
  • Post-Pruning Decision Tree Algorithms Based on Bayes Minimum Risk and Loss Minimization to Combat Over-Fitting Problem 
    Mohamed, Ahmed Mohamed Ahmed (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2018)
    Pruning is applied in order to combat over-fitting problem where the tree is pruned with the goal of identifying decision tree with the lowest error rate on previously unobserved instances. Post-pruning approach is one of ...
  • (p,q)-Hahn Difference Operator 
    Malyalı, Duygu (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2020-01)
    ABSTRACT: One of the main starting point for the theory of calculus is the differentiation operation, which is defined as follows. Firstly, divide the difference of two function values by the difference of the corresponding ...
  • Principal component analysis in statistics 
    Alani, Ahmed Sami Abdulghafour (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-01)
    ABSTRACT: Researchers and students sometimes need to deal with large volumes of data, causing them to have difficulty in the analysis and interpretation of these data. In the statistical analysis of high dimensional data, ...
  • Propositional Logic for Knowledge Representation and Formalization of Reasoning 
    Rasol, Kurdman Abdulrahman (Eastern Mediterranean University (EMU). Doğu Akdeniz Universitesi (DAÜ), 2017-06)
    The purpose of this master thesis is to investigate the basic concepts of propositional logic for knowledge representation and formalization of reasoning in Artificial Intelligence. The different properties of logical ...
  • Prospect theory in decision making process 
    Abdulnabi, Nisreen Lukman (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2014-02)
    ABSTRACT: This thesis purposes the investigation of the prospect theory in decision making process. The theoretical aspects and basic concepts of the prospect theory for the decision making under uncertainty and risk are ...