New classes of Lyapunov type inequalities of fractional $\Delta$-difference Sturm-Liouville problems with applications

Document Type : Research Paper


Department of Applied Mathematics‎, ‎Sahand University of‎ ‎Technology‎, ‎P.O‎. ‎Box 51335-1996‎, ‎Tabriz‎, ‎Iran.


‎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.


Main Subjects

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