Ulam Stability, Lyapunov-Type Inequality, and the Eigenvalue Problem for Model of Discrete Fractional-Order Deflection Equations of Vertical Columns and a Rotating String with Two-Point Boundary Conditions

Ulam Stability, Lyapunov-Type Inequality, and the Eigenvalue Problem for Model of Discrete Fractional-Order Deflection Equations of Vertical Columns and a Rotating String with Two-Point Boundary Conditions

Due to its significance in numerous scientific and engineering domains, discrete fractional calculus (DFC) has received much attention recently. In particular, it seems that the exploration of the stability of DFC is crucial. A mathematical model of the discrete fractional equation describing the de...

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Bibliographic Details
Main Authors: Jehad Alzabut, Raghupathi Dhineshbabu, Abdelkader Moumen, A. George Maria Selvam, Mutti-Ur Rehman
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
discrete fractional calculus
boundary value problems
Ulam stability
Lyapunov inequality
eigenvalue problem
vertical column
Online Access:https://www.mdpi.com/2227-7390/13/1/18
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