Parvaneh, Vahid, Mohammadi, Babak, De la Sen, Manuel, Alizadeh, Esmaeil, Nashine, Hemant. (1400). On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions. هنرهای کاربردی, 12(1), 893-902. doi: 10.22075/ijnaa.2020.20511.2161
Vahid Parvaneh; Babak Mohammadi; Manuel De la Sen; Esmaeil Alizadeh; Hemant Kumar Nashine. "On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions". هنرهای کاربردی, 12, 1, 1400, 893-902. doi: 10.22075/ijnaa.2020.20511.2161
Parvaneh, Vahid, Mohammadi, Babak, De la Sen, Manuel, Alizadeh, Esmaeil, Nashine, Hemant. (1400). 'On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions', هنرهای کاربردی, 12(1), pp. 893-902. doi: 10.22075/ijnaa.2020.20511.2161
Parvaneh, Vahid, Mohammadi, Babak, De la Sen, Manuel, Alizadeh, Esmaeil, Nashine, Hemant. On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions. هنرهای کاربردی, 1400; 12(1): 893-902. doi: 10.22075/ijnaa.2020.20511.2161

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

International Journal of Nonlinear Analysis and Applications
مقاله 72، دوره 12، شماره 1، مرداد 2021، صفحه 893-902    اصل مقاله (367.18 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20511.2161
نویسندگان
Vahid Parvaneh* 1؛ Babak Mohammadi2؛ Manuel De la Sen3؛ Esmaeil Alizadeh4؛ Hemant Kumar Nashine5
1Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
2Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
3Institute of Research and Development of Processes, Leioa 48940, Spain
4Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
5Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, TN, India
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
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