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arXiv · 1709.00210

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

H. T. Tuan·Adam Czornik·J. Nieto·M. Niezabitowski
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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-Lindel\"of 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.

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H. T. Tuan, Adam Czornik, J. Nieto, M. Niezabitowski. 2017-09-01. Global attractivity for some classes of Riemann--Liouville fractional differential systems. https://arxiv.org/abs/1709.00210

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