On a sequence of Caputo fractional differential equations with an integral condition

  • Assia Frioui Guelma University
  • Assia Guezane Lakoud University Badji Mkhtar Annaba
  • Ahmed Bragdi University Larbi Ben M’Hidi Oum El Bouaghi


This paper deals with the existence of positive solutions for a sequence of caputo fractional differential equation. By the application of Guo-Krasnoselskii Theorem, we prove the existence of at least one positive solution. To prove the uniqueness of solution we use Banach contraction principle. Two examples are given to verify the obtained results.