Asymptotic stability in delay nonlinear fractional differential equations

• Ardjouni, Abdelouaheb ^[2] ; Boulares, Hamid ^[1] ; Djoudi, Ahcene ^[1]
  1. [1] Badji Mokhtar University

     Badji Mokhtar University

     Argelia

     
  2. [2] University Souk Ahras.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 35, Nº. 3, 2016, págs. 263-275
• Idioma: inglés
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• Resumen

  • In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of delay nonlinear fractional differential equations of order . By using the Banach’s contraction mapping principle in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided that g (t, 0) = f (t, 0, 0) = 0, which include and improve some related results in the literature.