On a study of the representation of solutions of a Ψ-Caputo fractional differential equations with a single delay

On a study of the representation of solutions of a Ψ-Caputo fractional differential equations with a single delay

We give a representation of solutions to linear nonhomogeneous Ψ-fractional delayed differential equations with noncommutative matrices. We newly define Ψ-delay perturbation of Mittag-Leffler type matrix function with two parameters and apply the method of variation of constants to obtain the repres...

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Bibliographic Details
Main Authors: Mustafa Aydin, Nazim I. Mahmudov, Hüseyin Aktuğlu, Erdem Baytunç, Mehmet S. Atamert
Format: Article
Language:English
Published: AIMS Press 2022-03-01
Series:Electronic Research Archive
Subjects:
mittag-leffler type matrix function
fractional linear and nonlinear systems
ψ-caputo derivative representation of solutions
delayed perturbation
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022053?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/era.2022053?viewType=HTML

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