S. Moradi

[ 1 ] - A characterization of shellable and sequentially Cohen-Macaulay

We consider a class of hypergraphs called hypercycles and we show that a hypercycle $C_n^{d,alpha}$ is shellable or sequentially the Cohen--Macaulay if and only if $nin{3,5}$. Also, we characterize Cohen--Macaulay hypercycles. These results are hypergraph versions of results proved for cycles in graphs.

[ 2 ] - On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations and extension of this type of integral equations. The result is obtained by using the  coupled fixed point theorems in the framework of Banach space $ X=C([a,b],mathbb{R})$. Finally, we  give an example to illustrate the applications of our results.

[ 3 ] - Sufficient Conditions for Density in Extended Lipschitz Algebras

[ 4 ] - Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha

In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.