A note on asymptotic stability of fractional evolution inclusions

M. Selah

In this paper, the asymptotic stability of fractional evolutionary inclusions is investigated. The existence, uniqueness and asymptotic stability of mild solution for the fractional evolution systems are obtained through the multivalued contraction principle under appropriate conditions. Then, an example is presented that confirms the theoretical result. In particular, this study extends the concept of asymptotic stability to multivalued fractional evolution systems. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 19(3) (2026), pp. 1-10