Title of article
On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions
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
Pages
10
From page
893
To page
902
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
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2607541
Link To Document