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

Qi Wang, Xiaoyue Li

• 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.