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

Document Type : Research Paper

Authors

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, Marand Branch, Islamic Azad University, Marand, Iran

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

10.22075/ijnaa.2020.20511.2161

Abstract

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.

Keywords