Existence of solutions for $ [\mathtt{p},\mathtt{q}] $-difference initial value problems: application to the $ [\mathtt{p},\mathtt{q}] $-based model of vibrating eardrums

Existence of solutions for $ [\mathtt{p},\mathtt{q}] $-difference initial value problems: application to the $ [\mathtt{p},\mathtt{q}] $-based model of vibrating eardrums

The eardrum is one of the most important organs in the body, and disorders such as infection or injury may affect the proper functioning of the eardrum and lead to hearing problems. In this paper, based on a real-world phenomena, we study some mathematical aspects of an abstract fractional $ [\matht...

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Bibliographic Details
Main Authors: Reny George, Sina Etemad, Ivanka Stamova, Raaid Alubady
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
set-valued function
fixed-point
end-point
$ [\mathtt{p},\mathtt{q}] $-derivative
initial problem
vibrating eardrum model
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025108
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