Title of article :
On fractional differential equations and fixed point theory
Author/Authors :
Paknazar, Mohadeseh Department of Mathematics Education - Farhangian University, Tehran
Abstract :
In this work first we establish some fixed point theorems for 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.
Keywords :
fixed point , Reich's conjecture , fractional differential equation
Journal title :
International Journal of Nonlinear Analysis and Applications
