Applications to Nonlinear Fractional Differential Equations via Common Fixed Point on ℂ★-Algebra-Valued Bipolar Metric Spaces

Autor:	Gunaseelan Mani, Arul Joseph Gnanaprakasam, Poornavel Subbarayan, Subramanian Chinnachamy, Reny George, Zoran D. Mitrović
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	ℂ★-algebra bipolar metric space ℂ★-algebra-valued bipolar metric space common fixed point fractional differential equation Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 7, p 534 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7070534
Popis:	In the present paper, we prove common fixed point theorems under different contractive mappings on C★-algebra-valued bipolar metric spaces. The results generalize and expand some well-known results from the literature. Examples and applications are given to strengthen our conclusion. Additionally, as an application of our results, we show that some classes of the nonlinear fractional differential equations with the boundary conditions have a unique common solution.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/46ced98ed7f142b080b8b3a2795cf86c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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