Browsing Department of Mathematics by Subject "Caputo"

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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 ...
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 ...
Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations

Al-Khateeb, Areen Saber Salah (Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ), 2019)

The current thesis investigates four different nonlinear systems of fractional differential equations and deals with the existence, uniqueness, and stability of their solutions. The first studied problem is a coupled system ...