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20152023
most citedAsymptotic separation between solutions of Caputo fractional stochastic differential equations

83 citations · 186 across the 8 of their papers we have counts for

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5 papers · 1 filter

math.CA2023★ 2 cited

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.CA2022★ 16 cited

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…

math.CA2021★ 15 cited

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…

math.CA2017★ 83 cited

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…

math.CA2017★ 53 cited

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…