EN
Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems
Abstract
In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; in follow we derive some interesting results as byproducts. Eventually, we apply our results in solving fuzzy Volterra integral equations and Caputo-Hadamard type of fractional differential equations.
Keywords
Kaynakça
- 1] H.M. Abu-Donia, Common fixed point theorems for fuzzy mappings in metric space under φ-contraction condition, Chaos Solitons Fractals. 34(2) (2007) 538-543.
- [2] J. Ahmad, A. Al-Rawashdeh, A. Azam, New fixed point theorems for generalized F-contraction in complete metric spaces, Fixed Point Theory Appl. 80 (2015) 1-18.
- [3] T. Allahviranloo, P. Salehi, M. Nejatiyan, Existence and uniqueness of the solution of nonlinear fuzzy Volterra integral equations, Iranian Journal of Fuzzy Systems. 12(2) (2015) 75-86.
- [4] B. Alqahtani, A. Fulga, F. Jarad and E. Karapınar, Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag-Leffler Kernel, Chaos, Solitons and Fractals. 128(C) (2019) 349-354.
- [5] A. Azam, M. Arshad, P. Vetro, On a pair of fuzzy contractive mappings, Math. Comput. Model. 52 (2010) 207-214.
- [6] H. Aydi, M.F. Bota, E. Karapınar, S. Moradi, A common fixed point for weak-ϕ-contractions on b-metric spaces, Fixed Point Theory. 13(2) (2012) 337-346.
- [7] I.A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal. 30, (1989) 26-37.
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Eylül 2022
Gönderilme Tarihi
18 Mart 2022
Kabul Tarihi
23 Haziran 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 5 Sayı: 3
APA
Basil, S., & Antony, S. (2022). Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems. Results in Nonlinear Analysis, 5(3), 279-298. https://doi.org/10.53006/rna.1089900
AMA
1.Basil S, Antony S. Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems. RNA. 2022;5(3):279-298. doi:10.53006/rna.1089900
Chicago
Basil, Sushma, ve Santhi Antony. 2022. “Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems”. Results in Nonlinear Analysis 5 (3): 279-98. https://doi.org/10.53006/rna.1089900.
EndNote
Basil S, Antony S (01 Eylül 2022) Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems. Results in Nonlinear Analysis 5 3 279–298.
IEEE
[1]S. Basil ve S. Antony, “Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems”, RNA, c. 5, sy 3, ss. 279–298, Eyl. 2022, doi: 10.53006/rna.1089900.
ISNAD
Basil, Sushma - Antony, Santhi. “Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems”. Results in Nonlinear Analysis 5/3 (01 Eylül 2022): 279-298. https://doi.org/10.53006/rna.1089900.
JAMA
1.Basil S, Antony S. Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems. RNA. 2022;5:279–298.
MLA
Basil, Sushma, ve Santhi Antony. “Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems”. Results in Nonlinear Analysis, c. 5, sy 3, Eylül 2022, ss. 279-98, doi:10.53006/rna.1089900.
Vancouver
1.Sushma Basil, Santhi Antony. Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems. RNA. 01 Eylül 2022;5(3):279-98. doi:10.53006/rna.1089900
Cited By
Separate families of fuzzy dominated nonlinear operators with applications
Journal of Applied Mathematics and Computing
https://doi.org/10.1007/s12190-024-02133-0