On the solution set of a fractional integro-differential inclusion involving Caputo-Katugampola derivative

• Autores: Aurelian Cernea
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 19, Nº. 3, 2017, págs. 31-42
• Idioma: inglés
• DOI: 10.4067/S0719-06462017000300031
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Estudiamos un problema de valor inicial asociado a la inclusión íntegro-diferencial fraccionaria definida por la derivada de Caputo-Katugampola y por una aplicación multivaluada con valores no-convexos. Demostramos la arco-conexidad del conjunto solución y que el conjunto de selecciones correspondientes a las soluciones del problema considerado es un retracto del espacio de funciones integrables en un intervalo dado.

  • English

    Abstract We study an initial value problem associated to a fractional integro-differential inclusion defined by Caputo-Katugampola derivative and by a set-valued map with nonconvex values. We prove the arcwise connectedness of the solution set and that the set of selections corresponding to the solutions of the problem considered is a retract of the space of integrable functions on a given interval.

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