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The f Mittag–Leffler stability of the trivial solution of nonlinear Caputo fractional differential equations is studied by the Lyapunov function method. The main tool is the Tuan–Trinh inequality from Chap. 2 . The ultimate boundedness of solutions to dissipative fractional differential equations is also discussed.

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Lyapunov Functions

  • 章节

  • 发表日期：

    2025年

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  • Thai Son Doan,
  • Peter E. Kloeden,
  • Hoang The Tuan

摘要

The f Mittag–Leffler stability of the trivial solution of nonlinear Caputo fractional differential equations is studied by the Lyapunov function method. The main tool is the Tuan–Trinh inequality from Chap. 2 . The ultimate boundedness of solutions to dissipative fractional differential equations is also discussed.