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The Μ-Neutral Fractional Multi-Delayed Differential Equations

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Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

Univ Miskolc inst Math

Abstract

The mu -neutral linear fractional multi -delayed differential nonhomogeneous system with noncommutative coefficient matrices is introduced. The novel mu -neutral multi -delayed perturbation of Mittag-Leffler type matrix function is proposed. Based on this, an explicit solution to the system is investigated step by step. The existence uniqueness of solutions to mu -neutral nonlinear fractional multi -delayed differential system is obtained with regard to the supremum norm. The notion of stability analysis in the sense of solutions to the described system is discussed on the grounds of the fixed point approach.

Description

Aydin, Mustafa/0000-0003-0132-9636

Keywords

Mu-Fractional Derivative, Mu-Fractional Neutral Multi-Delayed Differential Equation, Linear Differential Equations, Mu-Neutral Multi-Delay Perturbation,, Existence And Uniqueness, Stability

Turkish CoHE Thesis Center URL

WoS Q

Q2

Scopus Q

Q3

Source

Volume

25

Issue

1

Start Page

109

End Page

125