On existence results for hybrid ψ−Caputo multi-fractional differential equations with hybrid conditions

• Autores: Fouad Fredj, Hadda Hammouche
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 2, 2022, págs. 273-289
• Idioma: inglés
• DOI: 10.56754/0719-0646.2402.0273
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN En este artículo, estudiamos los resultados de existencia y unicidad de un problema de valor en la frontera fraccional híbrido con múltiples derivadas fraccionarias de ψ -Caputo con diferentes órdenes. Usando una generalización útil del teorema del punto fijo de Krasnoselskii, establecemos resultados de al menos una solución, mientras que la unicidad de dicha solución se obtiene a partir del punto fijo de Banach. La última sección está dedicada a un ejemplo que ilustra la aplicabilidad de nuestros resultados.

  • English

    ABSTRACT In this paper, we study the existence and uniqueness results of a fractional hybrid boundary value problem with multi-ple fractional derivatives of ψ −Caputo with different orders. Using a useful generalization of Krasnoselskii’s fixed point theorem, we have established results of at least one solution, while the uniqueness of solution is derived by Banach’s fixed point. The last section is devoted to an example that illustrates the applicability of our results.

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