K. Ghanbari
Department of Applied Mathematics, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran.
[ 1 ] - New classes of Lyapunov type inequalities of fractional $Delta$-difference Sturm-Liouville problems with applications
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, ...
[ 2 ] - Matrix representation of a sixth order Sturm-Liouville problem and related inverse problem with finite spectrum
In this paper, we find matrix representation of a class of sixth order Sturm-Liouville problem (SLP) with separated, self-adjoint boundary conditions and we show that such SLP have finite spectrum. Also for a given matrix eigenvalue problem $HX=lambda VX$, where $H$ is a block tridiagonal matrix and $V$ is a block diagonal matrix, we find a sixth order boundary value problem of Atkin...
[ 3 ] - Positive solutions for discrete fractional initial value problem
In this paper, the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement .The solutions of fractional difference equation are the size of tumor in model tumor growth described by the Gompertz f...
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