On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses

• Autores: Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 21, Nº. 1, 2019, págs. 61-75
• Idioma: inglés
• DOI: 10.4067/S0719-06462019000100061
• Enlaces
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• Resumen
  • español

    Resumen En este artículo, demostramos la existencia de soluciones mild de ecuaciones integrodiferenciales fraccionarias con retardo dependiente del estado e impulsos no instantáneos. Los resultados de existencia se obtienen bajo condiciones respecto de la medida de Kuratowski de no compacidad. También se entrega un ejemplo para ilustrar los resultados.

  • English

    Abstract In this paper, we prove the existence of mild solution of the fractional integro-differential equations with state-dependent delay with not instantaneous impulses. The existence results are obtained under the conditions in respect of Kuratowski’s measure of noncompactness. An example is also given to illustrate the results.

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