Solutions of hattaf fractional differential equation systems

This thesis study consists of six chapters. The first part consists of the introduction, so the fractional differential equation sys tems and studies on this subject are presented. In the second part, basic concepts and theorems have been written, Caputo-Fabrizio fractional derivative, Riemann Liouville fractional derivative, Atangana Balleanu fractional derivatives and fracti onal integrals definitions are given. In the third chapter, the definition and history of linear equation systems related to our thesis are given. In the fourth chapter, the new generalized Hattaf fractional derivative definition with a non-singular kernel and its special cases are given. In the fifth chapter, we examine the Caputo-Fabrizio fractional derivative, which is the main subject of our thesis. By using the soluti ons of linear equation systems, the linear equation system and solutions of Hattaf fractional derivative were obtained. Lemmas presented in this section The system of linear equations obtained using it formed the basis of the study. In the last section, the sixth section, the sources in the literature used during the study are listed. In the last section, the sixth section, the sources in the literature that I used throughout the study are listed.