(المدرسة العليا لاساتدة التعليم التكنولوجي-سكيكدة, 2024) Belkram Chahd، Boutafas Lina; Dr Merzoug Ibtissem
The topic of fractional order differential equations is considered one of the impor- tant and complex subjects in applied mathematics. This memorandum is just a small part of a much larger field, in which we have diligently tried to achieve the desired goal, which is to study the existence and uniqueness of the solution for some problems involving generalized fractional differential equations, as well as to study the stability of these problems according to Hyers-Ulam.
Finally, we hope to have contributed, even if just a little, in explaining how to study these issues. We hope to continue this research through the following topics:
• Studying these problems for another type of fractional derivatives in unbounded domains.
• Studying these problems in more general Banach spaces.
Keywords: fractional order differential equations
