Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum

Existence and stability of nonlinear discrete fractional initial value problems with application to vibrating eardrum

It is well known that Newton's second law can be applied in various biological processes including the behavior of vibrating eardrums. In this work, we consider a nonlinear discrete fractional initial value problem as a model describing the dynamic of vibrating eardrum. We establish sufficient...

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Bibliographic Details
Main Authors: George Maria Selvam, Jehad Alzabut, Vignesh Dhakshinamoorthy, Jagan Mohan Jonnalagadda, Kamaleldin Abodayeh
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
nonlinear discrete fractional problem
existence and uniqueness
hyers–ulam stability
vibrating eardrum
Online Access:http://www.aimspress.com/article/doi/10.3934/mbe.2021195?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/mbe.2021195?viewType=HTML

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