Fractional functional differential inclusions with finite delay Original Research Article

In this paper, we present fractional versions of the Filippov theorem and the Filippov–Wazewski theorem, as well as an existence result, compactness of the solution set and Hausdorff continuity of operator solutions for functional differential inclusions with fractional order, View the MathML sourceDαy(t)∈F(t,yt),a.e.t∈[0,b],0<α<1, Turn MathJax on View the MathML sourcey(t)=ϕ(t),t∈[−r,0], Turn MathJax on where View the MathML sourceJ=[0,b],Dα is the standard Riemann–Liouville fractional derivative, and FF is a set-valued map.