Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions

The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the underlying tripled system of fractional pantograph differential equations. We also used degree theory with non-local boundary conditions to derive relevant results supporting the existence of at least...

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Bibliographic Details
Published in:Journal of vibration and control 2024-02, Vol.30 (3-4), p.632-647
Main Authors: Hammad, Hasanen A, Rashwan, Rashwan A, Nafea, Ahmed, Samei, Mohammad Esmael, Noeiaghdam, Samad
Format: Article
Language:English
Subjects:
Boundary conditions
Differential equations
Mathematical analysis
Pantographs
Stability analysis
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Summary:The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the underlying tripled system of fractional pantograph differential equations. We also used degree theory with non-local boundary conditions to derive relevant results supporting the existence of at least one solution to our proposed system. Furthermore, some stability analysis such as Ulam–Hyers and generalized Ulam–Hyers are established. Finally, an illustrative example is presented to support and enhance our analysis.
ISSN:1077-5463
1741-2986
DOI:10.1177/10775463221149232