Global attractivity for some classes of Riemann--Liouville fractional differential systems

2017/09/01 by Hoang The Tuan, Tuan, H. T., Adam Czornik +5
Mathematics · Medicine · #34A08 #34A12 #34A30 #34D05 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1709.00210

openalex publication_date 2017/09/01 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28

Abstract

In this paper, we present some results for existence of global solutions and attractivity for mulidimensional fractional differential equations involving Riemann-Liouville derivative. First, by using a Bielecki type norm and Banach fixed point theorem, we prove a Picard-Lindelöf type theorem on the existence and uniqueness of solutions. Then, applying the properties of Mittag-Leffler functions, we describe the attractivity of solutions to some classes of Riemann--Liouville linear fractional differential systems.

Related

• Global Attractivity for Fractional Differential Equations in Weighted Spaces
• Existence of mild solutions for Riemann-Liouville fractional differential equations with nonlocal conditions
• Monotonicity and asymptotic behavior of solutions for Riemann-Liouville fractional differential equation
• Weakly singular integral inequalities and global solutions for\n fractional differential equations of Riemann-Liouville type
• Non-instantaneous Impulsive Riemann-Liouville Fractional Differential Systems: Existence and Controllability Analysis