%0 Journal Article %T On a set-valued functional integral equation of Volterra-Stieltjes type %A El-Sayed, A. M. A. %A Al-Issa, Sh. M. %J Journal of Mathematics and Computer Science %D 2020 %V 21 %N 4 %@ ISSN 2008-949X %F El-Sayed2020 %X In this paper, we study the existence of continuous solutions of a set-valued functional integral equation for the Volterra-Stieltjes type. The asymptotic stability of the solutions will be studied. The continuous dependence of the solution on the set of selections of the set-valued function will be proven. As an application, we study the existence of solutions of an initial value problem of arbitrary (fractional) order differential inclusion. %9 journal article %R 10.22436/jmcs.021.04.01 %U http://dx.doi.org/10.22436/jmcs.021.04.01 %P 273--285