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Global attractivity for some classes of Riemann--Liouville fractional differential systems
- Publication Year :
- 2017
-
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.
- Subjects :
- Mathematics - Classical Analysis and ODEs
34A08, 34A12, 34A30, 34D05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1709.00210
- Document Type :
- Working Paper