Article
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Novel Fuzzy Contractions and Applications to Engineering Science
Version 1
: Received: 30 November 2023 / Approved: 30 November 2023 / Online: 30 November 2023 (10:43:01 CET)
A peer-reviewed article of this Preprint also exists.
Younis, M.; Abdou, A.A.N. Novel Fuzzy Contractions and Applications to Engineering Science. Fractal Fract. 2024, 8, 28. Younis, M.; Abdou, A.A.N. Novel Fuzzy Contractions and Applications to Engineering Science. Fractal Fract. 2024, 8, 28.
Abstract
The article outlines a creative approach by fusing ideas from fuzzy contractions, graph mappings, and Kannan mappings to create a brand-new notion known as "Kannan-graph-fuzzy contraction." This combination of concepts makes it possible to create a unique framework for resolving real-world issues controlled by nonlinear models. It is anticipated that using Kannan-graph-fuzzy contractions will offer a fresh approach to discussing solution existence in situations where these ideas overlap. This strategy might have a significant impact on a lot of real-world applications, proving how practical multidisciplinary techniques are for tackling issues in the real world originating from technology and engineering. The article includes several illustrated examples based on computer simulations, making the results more explicit.
Keywords
Fixed point; Fractional-Differential equation; Equation of motion; Fuzzy-Kannan mapping; Fuzzy metric; Directed graph
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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