83 citations · 186 across the 8 of their papers we have counts for
8 papers
Stability Properties of Multi-Order Fractional Differential Systems in 3D
Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai +1
This paper is devoted to studying three-dimensional non-commensurate fractional order differential equation systems with Caputo derivatives. Necessary and sufficient conditions are…
A constructive approach for investigating the stability of incommensurate fractional differential systems
Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai +1
This paper is devoted to studying the asymptotic behaviour of solutions to generalized non-commensurate fractional systems. To this end, we first consider fractional systems with r…
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems
Kai Diethelm, Ha Duc Thai, Hoang The Tuan
This paper is devoted to studying non-commensurate fractional order planar systems. Our contributions are to derive sufficient conditions for the global attractivity of non-trivial…
Upper and lower estimates for the separation of solutions to fractional differential equations
Kai Diethelm, Hoang The Tuan
Given a fractional differential equation of order with Caputo derivatives, we investigate in a quantitative sense how the associated solutions depend on their respecti…
A Hilbert space approach to fractional difference equations
Pham The Anh, Artur Babiarz, Adam Czornik +5
We formulate fractional difference equations of Riemann-Liouville and Caputo type in a functional analytical framework. Main results are existence of solutions on Hilbert space-val…
Asymptotic separation between solutions of Caputo fractional stochastic differential equations
T. S. Doan, P. T. Huong, P. E. Kloeden +1
Using a temporally weighted norm we first establish a result on the global existence and uniqueness of solutions for Caputo fractional stochastic differential equations of order $α…
A linearized stability theorem for nonlinear delay fractional differential equations
Hoang The Tuan, Hieu Trinh
In this paper, we prove a theorem of linearized asymptotic stability for fractional differential equations with a time delay. More precisely, using the method of linearization of a…
Linearized Asymptotic Stability for Fractional Differential Equations
N. D. Cong, T. S. Doan, S. Siegmund +1
We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differen…