On fractional differential equations and fixed point theory

Document Type : Research Paper


Department of Mathematics Education, Farhangian University, Tehran, Iran.


In this work first we establish some fixed point theorems for $\bot-$Mizoguchi-Takahashi contractions mappings in the setting of orthogonal metric spaces. Next, we investigate the existence of solution for certain fractional differential equation via some integral boundary value conditions and obtained fixed point results.