4 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…
Shooting Methods for Fractional Dirichlet-Type Boundary Value Problems of Order With Caputo Derivatives
Kai Diethelm
For the numerical solution of Dirichlet-type boundary value problems associated to nonlinear fractional differential equations of order that use Caputo derivatives, we…
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…