Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations

• Autores: Bashir Ahmad, Amjad F. Albideewi, Sotiris Ntouyas, Ahmed Alsaedi
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 23, Nº. 2, 2021, págs. 225-237
• Idioma: inglés
• DOI: 10.4067/S0719-06462021000200225
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• Resumen
  • español

    RESUMEN En este artículo se establecen resultados de existencia y unicidad para una ecuación diferencial fraccional nolineal secuencial de Hadamard con condiciones de borde multi-punto, a través de teoremas de punto jo de Banach y Krasnosel'skiĭ's y la alternativa nolineal de Leray-Schauder. Se construye un ejemplo ilustrando la existencia de una única solución.

  • English

    ABSTRACT In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiĭ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.

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