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

Fatima Assadiki, Ahmed Delbouh, Khalid Hattaf and Fouad Lahmidi
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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

A chapter in Trends in Biomathematics: Modeling Health Across Ecology, Social Interactions, and Cells, 2025, pp 93-113 from Springer

Abstract: 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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-97461-8_5

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DOI: 10.1007/978-3-031-97461-8_5

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