New classes of Lyapunov type inequalities of fractional Δ-difference Sturm-Liouville problems with applications

In this paperý, ýwe consider a new study about fractional Δ-difference equationsý. ýWe consider two special classes of Sturm-Liouville problems equipped with fractional Δ-difference operatorsý. ýIn couple of stepsý, ýthe Lyapunov type inequalities for both classes will be obtainedý. ýAs applicationý, ýsome qualitative behaviour of mentioned fractional problems such as stabilityý, ýspectralý, ýdisconjugacy and some interesting results about zeros of (oscillatory) solutions will be concluded.