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

In: Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells

Author

Listed:
  • Fatima Assadiki

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

  • Ahmed Delbouh

    (CRMEF Dakhla-Oued Eddahab, Regional Center of Education and Training Professions)

  • Khalid Hattaf

    (Centre Régional des Métiers de l’Education et de la Formation (CRMEF), Derb Ghalef, Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM))

  • Fouad Lahmidi

    (Hassan II University of Casablanca, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick)

Abstract

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.

Suggested Citation

  • Fatima Assadiki & Ahmed Delbouh & Khalid Hattaf & Fouad Lahmidi, 2025. "Global Stability for FPDEs with Hattaf Time Fractional Derivative and Some Applications in Mathematical Biology," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells, pages 93-113, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-97461-8_5
    DOI: 10.1007/978-3-031-97461-8_5
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