Qualitative Behaviour of a Caputo Fractional Differential System

• Ruixiong Fan ^[1] ; Nan Yan ^[1] ; Chen Yang ^[2] ; Chengbo Zhai ^[1]
  1. [1] Shanxi University

     Shanxi University

     China

     
  2. [2] Shanxi Vocational University of Engineering Science and Technology
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
• Idioma: inglés
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• Resumen

  • In this article, we investigate a new system of fractional differential equations with integral boundary conditions. The proposed problem contains Caputo fractional derivative operators, integer derivatives and Riemann integral boundary values. We get the existence and uniqueness of solutions for the new system of fractional differential equations based on a fixed point theorem of increasing φ-(h, e)-concave operators. The results show that the unique solution exists in a given set and can be approximated by making an iterative sequence for any initial point in the given set. Further, an example is given to illustrate the effectiveness and applicability of our main results.