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.
"Global attractivity for some classes of Riemann-Liouville fractional differential systems." J. Integral Equations Applications 31 (2) 265 - 282, 2019. https://doi.org/10.1216/JIE-2019-31-2-265