Iterative approach to solution of the Hadamard functional fractional differential equation

In fixed point theory, iteration methods have been an effective tool for solving nonlinear equations approximately. In this thesis, a four-step iteration method, which is found in the literature and is defined with the claim of calculating the fixed point with the fewest possible steps, has been used.With this method, a data dependency result has been obtained under certain conditions. This result has been supported with an example. In addition, this iteration method has included fixed point theorems in the current literature. Using this four-step iteration, the solution of a Hadamard functional fractional differential equation has been examined under appropriate conditions. Using the same iteration method for this differential equation, a data dependency result has been reached under certain conditions. In addition, it has been supported with an example. Finally, the results obtained are given and suggestions for future studies are presented.