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On extended, and extended rectangular, Menger probabilistic b-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations

Title
On extended, and extended rectangular, Menger probabilistic b-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations
Type
Article in International Scientific Journal
Year
2023
Authors
Chaharpashlou, R
(Author)
Other
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Ghasab, EL
(Author)
Other
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António Mendes Lopes
(Author)
FEUP
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Journal
Vol. 42
ISSN: 0101-8205
Publisher: Birkhäuser Boston
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Other information
Authenticus ID: P-00Y-YAV
Abstract (EN): We introduce the notions of extended Menger probabilistic b -metric space and extended rectangular Menger probabilistic b -metric space. Thereafter, we obtain new fixed-point results for single-and multi-valued mappings in both spaces. Additionally, we present two applications, involving integral, and fractional differential, equations, proving the existence of solutions.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 16
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