January 2021

One kind of construction on sunflower with two petals*

A sunflower (or ∆-system) with k petals and a core Y is a collection of sets S1,⋯, Sk such that Si∩Sj=Y for all i≠j; the sets S1\Y,⋯, Sk\ Y, are petals. In this paper, we first give a sufficient condition for the existence of a sunflower with 2 petals. Let F={A,B,C} be a family of subsets of a set { a1,⋯,am , b1,⋯,bn , c1,⋯,cn } with  and A={a1,⋯,am}, B={ b1,⋯,bn } and C={ c1,⋯,cn } are...

Author(s): Jiyun Guo, Guanshu Wang and Baiguang Cai  

June 2021

Triple Shehu transform and its properties with applications

In the current paper, the concept of one-dimensional Shehu Transform have been generalized into three-dimensional Shehu Transform namely, Triple Shehu Transform (TRHT). Further, some main properties, several theorems and properties related to the TRHT have been established. Triple Shehu transform was used in solving fractional partial differential equations, with the fractional derivative described in Caputo sense. The...

Author(s): Sameehah R. Alkaleeli, Ahmad A. H. Mtawal and Mbroka S. Hmad  

June 2021

Convergences and numerical analysis of a contact problem with normal compliance and unilateral constraint

This paper represents a continuation of a previous study on “Analysis of a Sliding Frictional Contact Problem with Unilateral Constraint”. This study considers a mathematical model which describes the equilibrium of an elastic body in frictional contact with a moving foundation. The contact is modeled with a multivalued normal compliance condition with unilateral constraints, associated to a sliding version...

Author(s): Yahyeh Souleiman