Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay

Phong, Vu Nam; Lân, Đỗ

doi:10.1007/s11868-021-00374-2

J. Pseudo-Differ. Oper. Appl.

2021

DOI: 10.1007/s11868-021-00374-2

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Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay

Vu Nam Phong

Đỗ Lân

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Cited by 6 publications

References 29 publications

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Finite‐time attractivity analysis for nonautonomous dynamical systems with uncertainty

Lu,

Chen

2024

Math Methods in App Sciences

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Uncertain dynamical system driven by Liu process is of importance to depict the operation laws of real systems disturbed by human epistemic uncertainty. This paper mainly investigates the finite‐time attractivity of uncertain dynamical systems. New concepts of the finite‐time attractivity are first introduced for uncertain dynamical systems from different perspectives, and the relationships among these types of concepts are revealed based on uncertainty theory. The judgement theorems for ensuring the finite‐time exponential attractivity of two classes of uncertain dynamical systems are proposed, respectively. Several examples are provided to illustrate the main concepts and results derived. Finally, the uncertain mean‐reverting process with time‐varying parameters is considered as an application.

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Finite‐time attractivity analysis for nonautonomous dynamical systems with uncertainty

Lu,

Chen

2024

Math Methods in App Sciences

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Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities

Lan,

Van Tuan

2023

J. Pseudo-Differ. Oper. Appl.

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Commutator of the Caputo fractional derivative and the shift operator and applications

Huong,

Thang,

2024

Communications in Nonlinear Science and Numerical Simulation

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Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay

Cited by 6 publications

References 29 publications

Finite‐time attractivity analysis for nonautonomous dynamical systems with uncertainty

Finite‐time attractivity analysis for nonautonomous dynamical systems with uncertainty

Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities

Commutator of the Caputo fractional derivative and the shift operator and applications

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