ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS
By Weihua Deng, Weihua Deng, Changpin Li. 2007
70 citations recorded by the source corpus.
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, , ; the other is a multi-order fractional differential equation, . 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, , , and , , , are also derived.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/ba9481cc23c6ce8f806a5068f5b0dee76fe69268
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In Applied Mathematics
- Hoang The Tuan
- Kai Diethelm
- Stefan Siegmund
- Yuri Luchko
- Udita N. Katugampola
- Neville J. Ford
- Dumitru Băleanu
- Vasily E. Tarasov
In Modeling and Simulation
- Hoang The Tuan
- Stefan Siegmund
- Kai Diethelm
- Neville J. Ford
- Weihua Deng
- Udita N. Katugampola
- Yuri Luchko
- Dumitru Băleanu
In Numerical Analysis
- Hoang The Tuan
- Stefan Siegmund
- Kai Diethelm
- Neville J. Ford
- Weihua Deng
- Udita N. Katugampola
- Dumitru Băleanu
- Changpin Li
Citations in the corpus
- Asymptotic behavior of solutions of linear multi-order fractional differential systems (2017, background): “The investigation of the analytical properties of such systems is often restricted to the case where the orders of the differential operators are rational [5, 6, 7, 16].”