### Hoang The Tuan

Associate Professor, Doctor
Department of Differential Equations
Differential and Integral Equations. |

**Address**

Office: Building A6, Room 508

Tel: +84 (02)4 37563474 /309

Email: httuan AT math.ac.vn

*Education**Professional Experiances*

*List of recent publications*1 | La Van Thinh, Hoang The Tuan, Separation of solutions and the attractivity of fractional-order positive linear delay systems with variable coefficients, Communications in Nonlinear Science and Numerical Simulation, Volume 132, May 2024, 10789, (SCI-E, Scopus). |

2 | Hoang The Tuan, La Văn Thịnh, Qualitative analysis of solutions to mixed-order positive linear coupled systems with bounded or unbounded delays, ESAIM: Control, Optimisation and Calculus of Variations, 29 (2023) 1-35, (SCI_E, Scopus). |

3 | Nguyen Van Dac, Hoang The Tuan, Tran Van Tuan, Regularity and large-time behavior of solutions for fractional semilinear mobile-immobile equations. Mathematical Methods in the Applied Sciences, 46 (2023), Pages 1005-103. doi:10.1002/mma.8563 (SCI-E, Scopus). |

4 | Kai Diethelm, Ha Duc Thai, Hoang The Tuan, Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems, Fractional Calculus and Applied Analysis 25 (2022), pp. 1324–1360, (SCI-E, Scopus). |

5 | Duong Giao Ky, La Van Thinh, Hoang The Tuan, Existence, uniqueness and asymptotic behavior of solutions to two-term fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, Volume 115, 2022, 106751, (SCI-E, Scopus). |

6 | K. Diethelm, Hoang The Tuan, Upper and lower estimates for the separation of solutions to fractional differential equations, Fractional Calculus and Applied Analysis volume 25 (2022), pages 166–180, (SCI-E, Scopus). |

7 | Hoang The Tuan, Smallest asymptotic bound of solutions to positive mixed fractional-order inhomogeneous linear systems with time-varying delays. Journal of the Franklin Institute,359 (2022), Issue 8, Pages 3768-3778, (SCI-E, Scopus). |

8 | Hoang The Tuan, Ha Duc Thai, Roberto Garappa, An analysis on solutions to fractional neutral differential equations with a delay. Communications in Nonlinear Science and Numerical Simulation, 100 (2021), 105854, (SCI-E, Scopus). |

9 | Hoang The Tuan, On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients, Proceedings of the American Mathematical Society, 149 (2021), 2597-2608, (SCI-E, Scopus). |

10 | Hoang The Tuan, Hieu Trinh, James Lam, Necessary and sufficient conditions of the positivity and stability to mixed fractional-order systems. International Journal of Robust and Nonlinear Control, 31 (2021), no. 1, pp. 37-50, SCI-E, Scopus. |

11 | Hoang The Tuan, On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise. Discrete and Continuous Dynamical Systems - Series B, 26 (2021), no. 3, pp. 1749-1762, SCI-E, Scopus. |

12 | Hoang The Tuan, H.Trinh, A Qualitative Theory of Time Delay Nonlinear Fractional-Order Systems. SIAM Journal on Control and Optimization, 58(3), 1491–1518, (SCI(-E); Scopus). |

13 | Hoang The Tuan, H. Trinh, Global attractivity and asymptotic stability of mixed-order fractional systems. IET Control Theory & Applications, Volume 14 (2020), 1240 – 1245. (SCI(-E); Scopus). |

14 | Hoang The Tuan, Stefan Siegmund, Stability of scalar nonlinear fractional differential equations with linearly dominated delay. Fractional Calculus and Applied Analysis, 23 (2020), no. 1, pp. 250-267, (SCI(-E), Scopus). |

15 | Nguyen Dinh Cong, Hoang The Tuan, H.Trinh, On asymptotic properties of solutions to fractional differential equations, Journal of Mathematical Analysis and Applications 484(2020) 123759, SCI(-E); Scopus. |

16 | P.T. Anh, P. Jurgas, M. Niezabitowski, Hoang The Tuan, A lower bound on the separation between two solutions of a scalar Riemann-Liouville fractional differential equation, AIP Conference Proceedings 2116, 450095 (2019). |

17 | Hoang The Tuan, Adam Czornik, Juan J. Nieto, and Michał Niezabitowski, Global attractivity for some classes of Riemann-Liouville fractional differential systems. Journal of Integral Equations and Applications, 31 (2019), 265-282, SCI(-E), Scopus. |

18 | Hoang The Tuan, Hieu Trinh, Stability of fractional-order nonlinear systems by Lyapunov direct method. IET Control Theory and Applications, 12 (2018), pp. 2417-2422, SCI(-E); Scopus. |

19 | Doan Thai Son, P.T. Huong, P.E. Kloeden, Hoang The Tuan, Asymptotic separation between solutions of Caputo fractional stochastic differential equations. Stochastic Analysis and Applications, 36 (2018), issue 4, 654-664 (SCI(-E); Scopus). |

20 | Hoang The Tuan, Hieu Trinh, A linearized stability theorem for nonlinear delay fractional differential equations. IEEE Transactions on Automatic Control, 63(2018), 3180 - 3186, SCI(-E); Scopus. |

21 | Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations. Vietnam Journal of Mathematics. 46(2018), pp 665–680, Scopus. |

22 | Nguyen Dinh Cong, Hoang The Tuan, Generation of nonlocal fractional dynamical systems by fractional differential equations. Journal of Integral Equations and Applications, 29 (2017), 1-24, SCI(-E); Scopus. |

23 | Kai Diethelm, Stefan Siegmund, Hoang The Tuan, Asymptotic behavior of solutions of linear multi-order fractional differential equation systems. Fractional Calculus and Applied Analysis, 20 (2017), 1165–1195, SCI(-E); Scopus. |

24 | Nguyen Dinh Cong, Hoang The Tuan, Existence, uniqueness and exponential boundedness of global solutions to delay fractional differential equations, Mediterranean Journal of Mathematics, 14 (2017), SCI(-E); Scopus. |

25 | Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, A Perron-type theorem for fractional differential systems. Electronic Journal of Differential Equations, 2017 (2017), No. 142, 1-12, SCI(-E); Scopus. |

26 | Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund, Hoang The Tuan, An instability theorem for nonlinear fractional differential systems. Discrete and Continuous Dynamical Systems - Series B, 22 ( 2017), 3079 - 3090, SCI(-E); Scopus. |

27 | Nguyen Dinh Cong, Doan Thai Son, S. Siegmund, Hoang The Tuan, On stable manifolds for fractional differential equations in high-dimensional spaces, Nonlinear Dynamics, 86 (2016), 1885–1894, SCI(-E); Scopus. |

28 | Nguyen Dinh Cong, Doan Thai Son, Siegmund Stefan, Hoang The Tuan, Linearized asymptotic stability for fractional differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 39 (2016), 1-13, SCI(-E); Scopus. |

29 | Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, Stefan Siegmund, Structure of the Fractional Lyapunov Spectrum for Linear Fractional Differential Equations, Advances in Dynamical Systems and Applications, 9 (2014), 149-159, SCI(-E), Scopus. |

30 | Nguyen Dinh Cong, Doan Thai Son, Hoang The Tuan, On fractional lyapunov exponent for solutions of linear fractional differential equations, Fractional Calculus and Applied Analysis, 17 (2014), 285-306, SCI(-E); Scopus. |

31 | Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund, Hoang The Tuan, On stable manifolds for planar fractional differential equations, Applied Mathematics and Computation, 226 (2014), 1, 157-168, SCI(-E); Scopus. |

32 | Hoang The Tuan, Hai Dang and Vu Van Khu, Dynamics of a Stochastic predator-prey model with Beddington-DeAngelis functional response, SCIENTIA. Series A: Mathematical Sciences, ISSN: 0716-8446, 22, 75 -- 84. |

*Preprints*1 | IMH20240402, K. Diethelm, S. Hashemishahraki, Ha Duc Thai, Hoang The Tuan, A constructive approach for investigating the stability of incommensurate fractional differential systems |

2 | IMH20240301, Kai Diethelm, Safoura Hashemishahraki, Ha Duc Thai, Hoang The Tuan, Stability Properties of Multi-Order Fractional Differential Systems in 3D. |

### Highlights

23/04/24, Conference: Some recent progress on selected problems in number theory |

25/04/24, Conference: Hội thảo Tối ưu và Tính toán khoa học lần thứ 22 |

28/05/24, Conference: Hội nghị Đại số - Lý thuyết số - Hình hoc - Tô pô 2024 |

28/10/24, Conference: School and Workshop “Selected topics in Arithmetic Algebraic Geometry” |