On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order

On the Solutions of a Quadratic Integral Equation of the Urysohn Type of Fractional Variable Order

In this manuscript we introduce a quadratic integral equation of the Urysohn type of fractional variable order. The existence and uniqueness of solutions of the proposed fractional model are studied by transforming it into an integral equation of fractional constant order. The obtained new results a...

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Bibliographic Details
Main Authors: Amar Benkerrouche, Mohammed Said Souid, Gani Stamov, Ivanka Stamova
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Entropy
Subjects:
fractional derivative
variable-order
fixed-point theorem
quadratic integral equation
piece-wise constant functions
uryshon-type integral equations
Online Access:https://www.mdpi.com/1099-4300/24/7/886

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https://www.mdpi.com/1099-4300/24/7/886

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