3 papers
math.CA2023
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…
math.NA2023
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…
math.DS2018
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…