A system of nonlinear fractional BVPs with ϕ-Laplacian operators and nonlocal conditions

• Temar, Bahia ^[1] ; Saifi, Ouiza ^[1] ; Djebali, Smail ^[1]
  1. [1] Ecole Normale Supérieure Cheikh Mohamed El-Bachir El-Ibrahimi
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 2, 2021, págs. 447-479
• Idioma: inglés
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• Resumen

  • This work investigates the existence of multiple positive solutions for a system of two nonlinear higher-order fractional differential equations with ϕ-Laplacian operators and nonlocal conditions. A degenerate nonlinearity which obeys some general growth conditions is considered. The singularities are dealt with by approximating the fixed point operator. New existence results are presented by using the fixed point index theory. Examples of applications illustrate the theoretical results.