Journal of Integral Equations and Applications

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

H.T. Tuan, Adam Czornik, Juan J. Nieto, and Michał Niezabitowski

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Abstract

We present results for existence of global solutions and attractivity for multidimensional fractional differential equations involving Riemann-Liouville derivative. First, by using a Bielecki type norm and the Banach-fixed point theorem, we prove a Picard-Lindelof-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.

Article information

Source
J. Integral Equations Applications, Volume 31, Number 2 (2019), 265-282.

Dates
First available in Project Euclid: 23 September 2019

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1569225676

Digital Object Identifier
doi:10.1216/JIE-2019-31-2-265

Mathematical Reviews number (MathSciNet)
MR4010587

Zentralblatt MATH identifier
07118804

Subjects
Primary: 34A08: Fractional differential equations
Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 34A30: Linear equations and systems, general 34D05: Asymptotic properties

Keywords
Fractional differential equation Riemann-Liouville derivative asymptotic behaviour of solutions existence and uniqueness

Citation

Tuan, H.T.; Czornik, Adam; Nieto, Juan J.; Niezabitowski, Michał. Global attractivity for some classes of Riemann-Liouville fractional differential systems. J. Integral Equations Applications 31 (2019), no. 2, 265--282. doi:10.1216/JIE-2019-31-2-265. https://projecteuclid.org/euclid.jiea/1569225676


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