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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
  • DOI: 10.1007/s12346-021-00500-x
  • Enlaces
  • 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.

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