Existence and uniqueness of positive solutions for nonlinear Caputo-Hadamard fractional differential equations

• Ardjouni, Abdelouaheb ^[1]
  1. [1] Université Mohamed-Chérif Messaadia Souk Ahras.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 139-152
• Idioma: inglés
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• Resumen

  • We prove the existence and uniqueness of a positive solution of nonlinear Caputo-Hadamard fractional differential equations. In the process we employ the Schauder and Banach fixed point theorems and the method of upper and lower solutions to show the existence and uniqueness of a positive solution. Finally, an example is given to illustrate our results.