Hilfer and Hadamard Functional Random Fractional Differential Inclusions

• Saïd Abbas ^[2] ; Mouffak Benchohra ^[3] ; Jamal-Eddine Lazreg ^[3] ; Gaston M N’Guérékata ^[1]
  1. [1] Morgan State University

     Morgan State University

     Estados Unidos

     
  2. [2] University of Saïda Laboratory of Mathematics
  3. [3] Djillali Liabes University Laboratory of Mathematics

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• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 19, Nº. 1, 2017, págs. 17-38
• Idioma: inglés
• DOI: 10.4067/S0719-06462017000100002
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  • Texto completo
• Resumen
  • español

    Este artículo estudia algunos resultados de existencia y estabilidad de Ulam para algunas inclusiones funcionales diferenciales de tipos Hilfer y Hilfer-Hadamard con lado derecho convexo y no-convexo. Empleamos algunos teoremas aleatorios de punto fijo multi-valuados para la existencia de soluciones aleatorias. A continuación demostramos que nuestros problemas son Ulam-Hyers-Rassias estables generalizados.

  • English

    This paper deals with some existence and Ulam stability results for some functional differential inclusions of Hilfer and Hilfer-Hadamard type with convex and non-convex right hand side. We employ some multi-valued random fixed point theorems for the existence of random solutions. Next we prove that our problems are generalized Ulam- Hyers-Rassias stable.

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