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- Title
On Intuitionistic Fuzzy N b Metric Space and Related Fixed Point Results with Application to Nonlinear Fractional Differential Equations.
- Authors
Ishtiaq, Umar; Kattan, Doha A.; Ahmad, Khaleel; Lazăr, Tania A.; Lazăr, Vasile L.; Guran, Liliana
- Abstract
This manuscript contains several new notions including intuitionistic fuzzy N b metric space, intuitionistic fuzzy quasi- S b -metric space, intuitionistic fuzzy pseudo- S b -metric space, intuitionistic fuzzy quasi- N -metric space and intuitionistic fuzzy pseudo N b fuzzy metric space. We prove decomposition theorem and fixed-point results in the setting of intuitionistic fuzzy pseudo N b fuzzy metric space. Further, we provide several non-trivial examples to show the validity of introduced notions and results. At the end, we solve an integral equation, system of linear equations and nonlinear fractional differential equations as applications.
- Subjects
NONLINEAR differential equations; FRACTIONAL differential equations; METRIC spaces; NONLINEAR equations; FUZZY sets; INTEGRAL equations; MATHEMATICAL mappings; NONLINEAR integral equations
- Publication
Fractal & Fractional, 2023, Vol 7, Issue 7, p529
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract7070529