LAUSR

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 $$R_{\delta }$$ -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.