Stability in delay nonlinear fractional differential equations

  • Hamid Boulares
  • Abdelouaheb Ardjouni
  • Yamina Laskri
Article
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Abstract

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 \(\alpha \)\((1<\alpha <2\)). By using the Krasnoselskii’s fixed point theorem in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided that \(g\left( t,0\right) =f\left( t,0,0\right) \), which include and improve some related results in the literature.

Keywords

Delay fractional differential equations Fixed point theory Stability 

Mathematics Subject Classification

34K20 34K30 34K40 

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Copyright information

© Springer-Verlag Italia 2016

Authors and Affiliations

  • Hamid Boulares
    • 1
    • 2
  • Abdelouaheb Ardjouni
    • 3
    • 4
  • Yamina Laskri
    • 1
  1. 1.Department of Mathematics, Faculty of SciencesUniversity of AnnabaAnnabaAlgeria
  2. 2.Advanced Control Laboratory (LABCAV), Guelma UniversityGuelmaAlgeria
  3. 3.Department of Mathematics and Informatics, Faculty of Sciences and TechnologyUniv Souk AhrasSouk AhrasAlgeria
  4. 4.Applied Mathematics Lab, Faculty of Sciences, Department of MathematicsUniv AnnabaAnnabaAlgeria

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