Author/Authors :
Ghanbari K نويسنده Department of Applied Mathematics - Sahand University of Technology, Tabriz , Gholami Y نويسنده Department of Applied Mathematics - Sahand University of Technology, Tabriz
Abstract :
In this paper, we consider a new study about fractional $Delta$-difference equations. We consider two special classes of Sturm-Liouville problems equipped with fractional $Delta$-difference operators. In couple of steps, the Lyapunov type inequalities for both classes will be obtained. As application, some qualitative behaviour of mentioned fractional problems such as stability, spectral, disconjugacy and some interesting results about zeros of (oscillatory) solutions will be concluded.