Existence of Solutions for a Coupled System of Nonlinear Implicit Differential Equations Involving %-Fractional Derivative with Anti Periodic Boundary Conditions

• Madeaha Alghanmi ^[1] ; Ravi P. Agarwal ^[2] ; Bashir Ahmad ^[1]
  1. [1] King Abdulaziz University

     King Abdulaziz University

     Arabia Saudí

     
  2. [2] Texas A& M University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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• Resumen

  • This paper is concerned with a new class of coupled implicit systems involving - fractional derivatives of different orders and anti periodic boundary conditions. We first convert the given implicit problem into a fixed point problem and then apply the fixed point theorems due to Krasnoselskii and Banach to establish the existence and uniqueness of its solutions. Examples are given for the illustration of the main results.