Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order

• MOUFFAK BENCHOHRA ^[2] ; GASTON M N’GUÉRÉKATA ^[1] ; DJAMILA SEBA ^[3]
  1. [1] Morgan State University

     Morgan State University

     Estados Unidos

     
  2. [2] Université de Sidi Bel-Abbès Laboratoire de Mathématiques
  3. [3] Université de Boumerdès Département de Mathématiques

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• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 3, 2010, págs. 35-48
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000300003
• Enlaces
  • Texto completo
• Resumen
  • español

    Este artículo es dedicado al estudio de existencia de soluciones integrales para ecuaciones diferenciales funcionales semilineales envolviendo la derivada de Riemann-Liouville en un espacio de Banach. Los argumentos se basan en un teorema de punto fijo de Mönch y la técnica de no compacidad.

  • English

    This paper is devoted to study the existence of integral solutions for a nondensely defined semilinear functional differential equations involving the Riemann-Liouville derivative in a Banach space. The arguments are based upon Mönch’s fixed point theorem and the technique of measures of noncompactness.

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