Structure of the Solution Set to Fractional Differential Inclusions with Impulses at Variable Times on Compact Interval

• Wang, Qi ^[1] ; Li, Xiaoyue ^[1]
  1. [1] Anhui University

     Anhui University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
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• Resumen

  • A topological structure of the solution set to a class of fractional differential inclusions with (or impulses at variable times) is investigated. It is shown that the solution set is an Rδ-set under some assumptions by the well-known theorem Bothe, D.: Multivalued perturbations of m-accretive differential inclusions. Israel J. Math. 108, 109–138 (1998) and the generalized Gronwall inequality under suitable Banach space. One example is listed for illustrating the main results.