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In this chapter, we develop a new approach to construct Lyapunov functions for dynamical systems characterized by fractional differential equations (FDEs) and fractional partial differential equations (FPDEs) that incorporate the Hattaf fractional time derivative. Moreover, the developed approach is applied to establish the global stability of some dynamical systems arising from mathematical biology.

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Global Stability for FPDEs with Hattaf Time Fractional Derivative and Some Applications in Mathematical Biology

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  • 发表日期：

    2025年

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  • Fatima Assadiki,
  • Ahmed Delbouh,
  • Khalid Hattaf,
  • Fouad Lahmidi

摘要

In this chapter, we develop a new approach to construct Lyapunov functions for dynamical systems characterized by fractional differential equations (FDEs) and fractional partial differential equations (FPDEs) that incorporate the Hattaf fractional time derivative. Moreover, the developed approach is applied to establish the global stability of some dynamical systems arising from mathematical biology.