Author/Authors :
Mohammadi, Babak Department of Mathematics - Marand Branch, Islamic Azad University, Marand, Iran , Parvaneh, Vahid Department of Mathematics - Kermanshah Branch, Islamic Azad University, Kermanshah, Iran , De La Sen, Manuel Institute of Research and Development of Processes, Leioa , Spain , Alizadeh, Esmaeil Department of Mathematics - Marand Branch, Islamic Azad University, Marand, Iran , Nashine, Hemant Kumar Department of Mathematics - School of Advanced Sciences - Vellore Institute of Technology, Vellore, TN, India
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 :
nonlinear fractional differential equation , Wardowski-Mizoguchi-Takahashi type contraction , fixed point
