Existence of solutions of boundary value problems for nonlinear fractional differential equations with integral conditions

• Boukehila, Ahcene ^[1]
  1. [1] University of Laghouat

     University of Laghouat

     Argelia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 5, 2021, págs. 1117-1135
• Idioma: inglés
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• Resumen

  • In this work we investigate the existence and uniqueness of solutions of boundary value problems for fractional differential equations involving the Caputo fractional derivative with integral conditions and the nonlinear term depends on the fractional derivative of an unknown function. Our existence results are based on Banach contraction principle and Schauder fixed point theorem. Two examples are provided to illustrate our results.