The Fixed Point Approach to the Stability of Fractional Differential Equations with Causal Operators

Jingfei Jiang ^[1] ; Dengqing Cao ^[1] ; Huatao Chen ^[1]
1. [1] Harbin Institute of Technology
  
  Harbin Institute of Technology
  
  China
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 1, 2016, págs. 3-18
Idioma: inglés
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Resumen
- In this paper, the Hyers–Ulam (HU) stability and Hyers–Ulam–Rassias (HUR) stability of fractional differential equations with causal operators (FDEwCO) are investigated. The techniques rely on a fixed point theorem which is employed to study the HUR stability for FDEwCO on both bounded and unbounded time intervals as well as HU stability on bounded time interval. Finally, two typical examples are given to demonstrate the applications of theoretical results proposed.