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Fractional Differential Equations, Dynamical Systems, Partial Differential Equations
Vietnam

Activities

Employment (2)

Institute of Mathematics: Hanoi, VN

2011-09-01 to present | Researcher (Differential Equations)
Employment
Source: Self-asserted source
Hoang The Tuan

VNU-UET: Hanoi, VN

2008-09-01 to 2011-08-30 | Assistant Lecturer (Basic Sciences)
Employment
Source: Self-asserted source
Hoang The Tuan

Education and qualifications (2)

Institute of Mathematics: Hanoi, VN

2013-11-20 to 2017-11-20 | Doctor of Philosophy - Mathematics (Differential equations)
Qualification
Source: Self-asserted source
Hoang The Tuan

VNU University of Science: Hanoi, VN

2004-09-01 to 2008-07-01 | Bachelor (Mathematics)
Education
Source: Self-asserted source
Hoang The Tuan

Professional activities (9)

Springer Nature (Germany): Berlin, DE

2023-12-01 to present | Editorial board member (Fractional Calculus and Applied Analysis)
Service
Source: Self-asserted source
Hoang The Tuan

Deakin University: Burwood, AU

2019-09-15 to 2019-12-15 | Visiting Researcher (Engineering)
Invited position
Source: Self-asserted source
Hoang The Tuan

Imperial College London: London, GB

2019-03-01 to 2019-07-31 | Visiting Researcher (Mathematics)
Invited position
Source: Self-asserted source
Hoang The Tuan

Deakin University: Burwood, AU

2018-08-01 to 2019-01-28 | Visiting Researcher (Engineering)
Invited position
Source: Self-asserted source
Hoang The Tuan

TU Dresden: Dresden, DE

2018-04-20 to 2018-07-20 | Visiting Researcher (Mathematics)
Invited position
Source: Self-asserted source
Hoang The Tuan

Deakin University: Burwood, AU

2017-10-10 to 2017-12-10 | Visiting Researcher (Engineering)
Invited position
Source: Self-asserted source
Hoang The Tuan

Silesian University of Technology: Gliwice, PL

2017-06-29 to 2017-07-13 | Visiting Researcher (Control)
Invited position
Source: Self-asserted source
Hoang The Tuan

Hasselt University: Hasselt, Uppsala, BE

2015-04-23 to 2015-05-06 | Visiting Researcher (Mathematics)
Invited position
Source: Self-asserted source
Hoang The Tuan

Uppsala University, Sweden: Uppsala, Uppsala, SE

2012-09-04 to 2013-07-01 | 09/2012–03/2013: Ph.D. exchange at (Mathematics)
Invited position
Source: Self-asserted source
Hoang The Tuan

Funding (4)

Existence and asymptotic behavior of solutions to some class of time-fractional differential equations

2023-09 to 2025-09 | Grant
National Foundation for Science and Technology Development (Hanoi, VN)
Source: Self-asserted source
Hoang The Tuan

Some selected topics in the qualitative theory of dynamical systems

2023-01 to 2024-12 | Grant
Vietnam Academy of Science and Technology (Hanoi, VN)
Source: Self-asserted source
Hoang The Tuan

Some selected problems in fractional-order systems

2020-10 to 2023-10 | Grant
Vietnam Academy of Science and Technology (Hanoi, VN)
Source: Self-asserted source
Hoang The Tuan

On the existence and asymptotic behavior of solutions to some fractional-order in time diffusion equations

2019-01 to 2020-12 | Grant
Vietnam Academy of Science and Technology (Hanoi, VN)
Source: Self-asserted source
Hoang The Tuan

Works (35)

Stability Properties of Multi-Order Fractional Differential Systems in 3D

IFAC-PapersOnLine
2024 | Journal article
Part of ISSN: 2405-8963
Contributors: Kai Diethelm; Safoura Hashemishahraki; Ha Duc Thai; Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

A constructive approach for investigating the stability of incommensurate fractional differential systems

Journal of Mathematical Analysis and Applications
2024-12 | Journal article
Part of ISSN: 0022-247X
Contributors: Kai Diethelm; Safoura Hashemishahraki; Ha Duc Thai; Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

Stability analysis of homogeneous cooperative positive differential systems with time-varying delays and its generalization

Systems & Control Letters
2024-09 | Journal article | Author
Part of ISSN: 0167-6911
Contributors: Le Trung Hieu; La Van Thinh; Hoang The Tuan
Source: Self-asserted source
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
2024-05 | Journal article | Author
Part of ISSN: 1007-5704
Contributors: La Van Thinh; Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

Qualitative analysis of solutions to mixed-order positive linear coupled systems with bounded or unbounded delays

ESAIM: Control, Optimisation and Calculus of Variations
2023 | Journal article | Author
Part of ISSN: 1292-8119
Part of ISSN: 1262-3377
Contributors: Hoang The Tuan; La Van Thinh
Source: Self-asserted source
Hoang The Tuan

Regularity and large‐time behavior of solutions for fractional semilinear mobile–immobile equations

Mathematical Methods in the Applied Sciences
2023-01-15 | Journal article | Author
Part of ISSN: 0170-4214
Part of ISSN: 1099-1476
Contributors: Dac Nguyen Van; Hoang The Tuan; Tran Van Tuan
Source: Self-asserted source
Hoang The Tuan

Existence, uniqueness and asymptotic behavior of solutions to two-term fractional differential equations

Communications in Nonlinear Science and Numerical Simulation
2022-12 | Journal article | Author
Part of ISSN: 1007-5704
Contributors: Duong Giao Ky; La Van Thinh; Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems

Fractional Calculus and Applied Analysis
2022-08 | Journal article | Author
Part of ISSN: 1311-0454
Part of ISSN: 1314-2224
Contributors: Kai Diethelm; Ha Duc Thai; Hoang The Tuan
Source: Self-asserted source
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
2022-05 | Journal article | Author
Part of ISSN: 0016-0032
Contributors: Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

Upper and lower estimates for the separation of solutions to fractional differential equations

Fractional Calculus and Applied Analysis
2022-02 | Journal article
Part of ISSN: 1311-0454
Part of ISSN: 1314-2224
Contributors: Kai Diethelm; Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

On the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noise

Discrete & Continuous Dynamical Systems - B
2021 | Journal article
Part of ISSN: 1553-524X
Contributors: Hoang The Tuan; ,Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Ha Noi, Viet Nam
Source: Self-asserted source
Hoang The Tuan

An analysis of solutions to fractional neutral differential equations with delay

Communications in Nonlinear Science and Numerical Simulation
2021-09 | Journal article
Part of ISSN: 1007-5704
Contributors: Hoang The Tuan; Ha Duc Thai; Roberto Garrappa
Source: Self-asserted source
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
2021-03-29 | Journal article
Part of ISSN: 0002-9939
Part of ISSN: 1088-6826
Contributors: Hoang The Tuan
Source: Self-asserted source
Hoang The Tuan

Positivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions

International Journal of Robust and Nonlinear Control
2021-01-10 | Journal article
Part of ISSN: 1049-8923
Part of ISSN: 1099-1239
Contributors: Hoang The Tuan; Hieu Trinh; James Lam
Source: Self-asserted source
Hoang The Tuan

Global attractivity and asymptotic stability of mixed‐order fractional systems

IET Control Theory & Applications
2020-06 | Journal article
Part of ISSN: 1751-8652
Part of ISSN: 1751-8652
Contributors: Hoang T. Tuan; Hieu Trinh
Source: Self-asserted source
Hoang The Tuan

On asymptotic properties of solutions to fractional differential equations

Journal of Mathematical Analysis and Applications
2020-04 | Journal article
Part of ISSN: 0022-247X
Contributors: N.D. Cong; H.T. Tuan; Hieu Trinh
Source: Self-asserted source
Hoang The Tuan

StabilIty of Scalar Nonlinear Fractional Differential Equations with Linearly Dominated Delay

Fractional Calculus and Applied Analysis
2020-02 | Journal article
Part of ISSN: 1311-0454
Part of ISSN: 1314-2224
Contributors: Hoang The Tuan; Stefan Siegmund
Source: Self-asserted source
Hoang The Tuan

A Qualitative Theory of Time Delay Nonlinear Fractional-Order Systems

SIAM Journal on Control and Optimization
2020-01 | Journal article | Author
Part of ISSN: 0363-0129
Part of ISSN: 1095-7138
Contributors: Hoang The Tuan; Hieu Trinh
Source: Self-asserted source
Hoang The Tuan

A lower bound on the separation between two solutions of a scalar Riemann-Liouville fractional differential equation

AIP Conference Proceedings
2019 | Journal article
Part of ISSN: 0094-243X
Contributors: Anh Pham The; Piotr Jurgaś; Michał Niezabitowski; Tuan Hoang The
Source: Self-asserted source
Hoang The Tuan

Global attractivity for some classes of Riemann-Liouville fractional differential systems

Journal of Integral Equations and Applications
2019-04-01 | Journal article
Part of ISSN: 0897-3962
Contributors: H.T. Tuan; Adam Czornik; Juan J. Nieto; Michał Niezabitowski
Source: Self-asserted source
Hoang The Tuan

A linearized stability theorem for nonlinear delay fractional differential equations

IEEE Transactions on Automatic Control
2018 | Journal article
Source: Self-asserted source
Hoang The Tuan

Asymptotic separation between solutions of Caputo fractional stochastic differential equations

Stochastic Analysis and Applications
2018 | Journal article
Source: Self-asserted source
Hoang The Tuan

Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations

Vietnam Journal of Mathematics
2018 | Journal article
Source: Self-asserted source
Hoang The Tuan

Stability of fractional-order nonlinear systems by Lyapunov direct method

IET Control Theory and Applications
2018 | Journal article
Source: Self-asserted source
Hoang The Tuan

An instability theorem for nonlinear fractional differential systems

Discrete and Continuous Dynamical Systems - Series B
2017 | Journal article
EID:

2-s2.0-85021121943

Contributors: Cong, N.D.; Son, D.T.; Siegmund, S.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

Existence, Uniqueness, and Exponential Boundedness of Global Solutions to Delay Fractional Differential Equations

Mediterranean Journal of Mathematics
2017 | Journal article
EID:

2-s2.0-85028653010

Contributors: Cong, N.D.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

Generation of nonlocal fractional dynamical systems by fractional differential equations

Journal of Integral Equations and Applications
2017 | Journal article
EID:

2-s2.0-85033437022

Contributors: Cong, N.D.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

Perron-type theorem for fractional differential systems

Electronic Journal of Differential Equations
2017 | Journal article
EID:

2-s2.0-85021307939

Contributors: Cong, N.D.; Doan, T.S.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

Asymptotic behavior of solutions of linear multi-order fractional differential equation systems

Fractional Calculus and Applied Analysis, 20 (2017), 1165–1195
2017-11-15 | Journal article
Source: Self-asserted source
Hoang The Tuan

Erratum to: On stable manifolds for fractional differential equations in high-dimensional spaces (Nonlinear Dyn, 10.1007/s11071-016-3002-z)

Nonlinear Dynamics
2016 | Journal article
EID:

2-s2.0-84983785801

Contributors: Cong, N.D.; Doan, T.S.; Siegmund, S.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

Linearized asymptotic stability for fractional differential equations

Electronic Journal of Qualitative Theory of Differential Equations
2016 | Journal article
EID:

2-s2.0-84975230950

Contributors: Cong, N.D.; Doan, T.S.; Siegmund, S.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

On stable manifolds for fractional differential equations in high-dimensional spaces

Nonlinear Dynamics
2016 | Journal article
EID:

2-s2.0-84982129454

Contributors: Cong, N.D.; Doan, T.S.; Siegmund, S.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

On fractional lyapunov exponent for solutions of linear fractional differential equations

Fractional Calculus and Applied Analysis
2014 | Journal article
EID:

2-s2.0-84896956315

Contributors: Cong, N.D.; Son, D.T.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

On stable manifolds for planar fractional differential equations

Applied Mathematics and Computation
2014 | Journal article
EID:

2-s2.0-84888108579

Contributors: Cong, N.D.; Doan, T.S.; Siegmund, S.; Tuan, H.T.
Source: Self-asserted source
Hoang The Tuan via Scopus - Elsevier

Dynamics of a Stochastic predator-prey model with Beddington-DeAngelis functional response

SCIENTIA. Series A: Mathematical Sciences
2012 | Journal article
Source: Self-asserted source
Hoang The Tuan

Peer review (19 reviews for 8 publications/grants)

Review activity for Acta mathematica Vietnamica. (4)
Review activity for Bulletin of the Iranian Mathematical Society. (1)
Review activity for Chaos, solitons and fractals. (1)
Review activity for Communications in nonlinear science & numerical simulation (1)
Review activity for Fractional calculus and applied analysis (4)
Review activity for Matemática aplicada e computacional (3)
Review activity for Nonlinear dynamics. (1)
Review activity for Tạp chí toán học (4)