Nonlocal partial fractional evolution equations with state dependent delay

• Lachachi-Merad, Nardjis ; Baghli-Bendimerad, Selma ; Benchohra, Mouffak ; Karapınar, Erdal ^[1]
  1. [1] Çankaya University

     Çankaya University

     Turquía

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 5, 2023, págs. 1191-1210
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this work, we propose sufficient conditions guaranteeing an existence result of mild solutions by using the nonlinear Leray-Schauder alternative in Banach spaces combined with the semigroup theory for the class of Caputo partial semilinear fractional evolution equations with finite state-dependent delay and nonlocal conditions.