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

نویسندگان
Parvaneh, Vahid ID 1
Mohammadi, Babak ID 2
De La Sen, Manuel ID 3
Alizadeh, Esmaeil ID 4
Nashine, Hemant Kumar ID 5

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

doi
10.22075/ijnaa.2020.20511.2161
چکیده

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.

کلیدواژه‌ها
nonlinear fractional differential equation, Wardowski-Mizoguchi-Takahashi type contraction, Fixed point