Existence of deviating fractional differential equation

• Rabha W Ibrahim ^[1]
  1. [1] University Malaya Institute of Mathematical Sciences
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 14, Nº. 3, 2012, págs. 129-142
• Idioma: inglés
• DOI: 10.4067/S0719-06462012000300009
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo establecemos condiciones suficientes para la existencia de soluciones de una clase de ecuaciones diferenciales fraccionales (del tipo Cauchy) y su solubilidad en un subconjunto de un espacio de Banach. La principal herramienta utilizada en nuestro estudio es la técnica del operador no expansivo. El caso no entero se escoge en el sentido de operadores fraccionales Riemann-Liouville. Además, se ilustran aplicaciones.

  • English

    In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is taken in sense of Riemann Liouville fractional operators. Applications are illustrated.

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