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- Title
On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations.
- Authors
Ishtiaq, Umar; Jahangeer, Fahad; Kattan, Doha A.; Argyros, Ioannis K.; Regmi, Samundra
- Abstract
In this paper, orthogonal fuzzy versions are reported for some celebrated iterative mappings. We provide various concrete conditions on the real valued functions J , S : (0 , 1 ] → (− ∞ , ∞) for the existence of fixed-points of (J , S) -fuzzy interpolative contractions. This way, many fixed point theorems are developed in orthogonal fuzzy metric spaces. We apply the (J , S) -fuzzy version of Banach fixed point theorem to demonstrate the existence and uniqueness of the solution. These results are supported with several non-trivial examples and applications to Volterra-type integral equations and fractional differential equations.
- Subjects
FRACTIONAL differential equations; DIFFERENTIAL equations; VOLTERRA equations; FRACTIONAL integrals; METRIC spaces; INTEGRAL equations
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 8, p725
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12080725