Browsing by Subject "Differential Equations"

EMU I-REP

Browsing by Subject "Differential Equations"

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  • Adomian’s Decomposition of Multi-Order Fractional Differential Equations 
    Olayinka, Ojo Gbenga (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    Adomian's Decomposition Method (ADM) was introduced about three decades ago, it has proven to be efficient, reliable and easy to compute the solutions of non-linear and linear differential equations. It can also be used ...
  • Computational Numerical Solution Algorithm for Fractional Differential Equations 
    Bawa’neh, Sameer Hassan Saleeh (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019-06)
    This study focused on three main problems, firstly, a study on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The solution process for the existence ...
  • Existence of Solutions of Fractional Differential Equations 
    Unul, Sinem (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    This thesis is aimed to study the existence of mild solutions of a class of fractional differential equations with different boundary conditions. By using fixed point theorems, the existence results about mild solutions ...
  • 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 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 ...
  • Stability of autonomous and non autonomous differential equations 
    Obi, Olivia Ada (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2013-09)
    ABSTRACT: In this thesis, we dealt with Autonomous and non Autonomous systems of ordinary differential equations and the stability properties of their solutions were discussed with some basic results. We also discussed and ...
  • A Study on A New Class of q-Bernoulli, q-Euler and q-Genocchi Polynomials 
    Momenzadeh, Mohammad (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2016)
    This thesis is aimed to study a new class of Bernoulli, Euler and Genocchi polynomials in the means of quantum forms. To achieve this aim, we introduce a new class of q-exponential function and using properties of this ...