On a Mixed Nonlinear Fractional Boundary Value Problem with a New Class of Closed Integral Boundary Conditions

• Bashir Ahmad ^[1] ; Manal Alnahdi ^[1] ; Sotiris K. Ntouyas ^[2] ; Ahmed Alsaedi ^[1]
  1. [1] King Abdulaziz University

     King Abdulaziz University

     Arabia Saudí

     
  2. [2] University of Ioannina

     University of Ioannina

     Dimos Ioánnina, Grecia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 3, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the existence of solutions for a fractional integrodifferential equation with mixed nonlinearities subject to a new class of nonlocal closed integral boundary conditions. The proposed problem contains a right Liouville– Caputo fractional derivative operator and mixed Riemann-Liouville integral operators.

    The standard fixed point theorems are applied to derive the desired results, which are well-illustrated with examples. Some interesting observations are presented.