Araştırma Makalesi

Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems

Cilt: 5 Sayı: 3 30 Eylül 2022
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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. 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. [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. [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. [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. [5] A. Azam, M. Arshad, P. Vetro, On a pair of fuzzy contractive mappings, Math. Comput. Model. 52 (2010) 207-214.
  6. [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. [7] I.A. Bakhtin, The contraction mapping principle in almost metric spaces, Funct. Anal. 30, (1989) 26-37.
  8. [8] T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65(7) (2006) 1379-1393.

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

Kaynak Göster

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

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