On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions

Document Type : Research Paper


1 Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.

2 Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran

3 Institute of Research and Development of Processes, Leioa 48940, Spain

4 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India


Using the concept of extended Wardowski-Mizoguchi-Takahashi contractions, we investigate the existence of solutions for three type of nonlinear fractional differential equations. To patronage our main results, some examples of nonlinear fractional differential equations are given.