The μ-neutral fractional multi-delayed differential equations

2022/06/20 by Mustafa Aydın, Aydin, Mustafa, Nazım I. Mahmudov +1
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Matrix Theory and Algorithms #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2206.10002

openalex publication_date 2022/06/20 · openalex created_date 2022/06/24 · openalex updated_date 2026/07/28

Abstract

The μ-neutral linear fractional multi-delayed differential nonhomogeneous system with noncommutative coefficient matrices is introduced. The novel μ-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 μ-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.

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