%0 Journal Article
%T New classes of Lyapunov type inequalities of fractional $\Delta$-difference Sturm-Liouville problems with applications
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Ghanbari, K.
%A Gholami, Y.
%D 2017
%\ 04/01/2017
%V 43
%N 2
%P 385-408
%! New classes of Lyapunov type inequalities of fractional $\Delta$-difference Sturm-Liouville problems with applications
%K Discrete fractional calculus
%K discrete fractional Sturm-Liouville problem
%K Lyapunov type inequalities
%K stability
%K Mittag-Leffler type functions
%R
%X 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.
%U http://bims.iranjournals.ir/article_938_599bea256ce7e3704a0d85dc06ff4b99.pdf