11 citations · 20 across the 5 of their papers we have counts for
5 papers
A Stability Testing Algorithm for Incommensurate Fractional Differential Equation Systems
Kai Diethelm, Safoura Hashemishahraki
We consider the question of determining whether or not a given system of fractional-order differential equations is (asymptotically) stable. In particular, we admit systems where e…
Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations
Paul-Erik Haacker, Remco I. Leine, Renu Chaudhary +3
This paper explores stability properties of periodic solutions of (nonlinear) fractional-order differential equations (FODEs). As classical Caputo-type FODEs do not admit exactly p…
On the separation of solutions to fractional differential equations of order
Renu Chaudhary, Kai Diethelm, Safoura Hashemishahraki
Given the Caputo-type fractional differential equation with , we consider two distinct solutions to this equation subject…
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…