Attractors of Caputo Fractional Differential Equations

This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field. The introduction of Caputo FDEs in the 1960s allowed initial value problems to be handled more naturally and the asymptotic behaviour of models based on them to be investigated by resear...

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Bibliografiske detaljer
Main Authors: Doan, Thai Son (Author), Kloeden, Peter E. (Author), Tuan, Hoang The (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Udgivelse:1st ed. 2025.
Serier:SpringerBriefs in Mathematics,
Fag:
Online adgang:https://doi.org/10.1007/978-3-032-05511-8
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Indholdsfortegnelse:
  • Preface
  • Introduction
  • Useful Inequalities
  • Existence and Uniqueness of Solutions
  • Linear Systems of Caputo FDEs
  • Asymptotic Stability and instability
  • Lyapunov Functions
  • Non-Intersecting Solutions
  • Caputo Dynamical Systems
  • Dissipative Caputo FDEs
  • Attractors of Scalar Caputo FDEs
  • Attractors of Caputo Semi-Groups
  • References.