Fixed Point Results with Applications to Fractional Differential Equations of Anomalous Diffusion

Autor: Zhenhua Ma, Hanadi Zahed, Jamshaid Ahmad
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Fractal and Fractional, Vol 8, Iss 6, p 318 (2024)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract8060318
Popis: The main objective of this manuscript is to define the concepts of F-(⋏,h)-contraction and (α,η)-Reich type interpolative contraction in the framework of orthogonal F-metric space and prove some fixed point results. Our primary result serves as a cornerstone, from which established findings in the literature emerge as natural consequences. To enhance the clarity of our novel contributions, we furnish a significant example that not only strengthens the innovative findings but also facilitates a deeper understanding of the established theory. The concluding section of our work is dedicated to the application of these results in establishing the existence and uniqueness of a solution for a fractional differential equation of anomalous diffusion.
Databáze: Directory of Open Access Journals
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