Affiliation:
1. Department of Mathematics, Shanghai University, Shanghai 200444, China
2. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
3. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
Abstract
In this paper, we study two kinds of fractional differential systems with multi-orders. One is a system of fractional differential equations with multi-order, [Formula: see text], [Formula: see text]; the other is a multi-order fractional differential equation, [Formula: see text]. By the derived technique, such two kinds of fractional differential equations can be changed into equations with the same fractional orders providing that the multi-orders are rational numbers, so the known theorems of existence, uniqueness and dependence upon initial conditions are easily applied. And asymptotic stability theorems for their associate linear systems, [Formula: see text], [Formula: see text], and [Formula: see text], [Formula: see text], [Formula: see text], are also derived.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation
Cited by
52 articles.
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