# Browsing Research and Publications - Department of Mathematics by Title

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• (2021)
The matched interface and boundary method (MIB) and ghost fluid method (GFM) are two well-known methods for solving elliptic interface problems. Moreover, they can be coupled with efficient time advancing methods, such as ...
• (2012)
In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of ...
• (2016)
In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and ρ-shrinking groupoids.
• (2013)
In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of ...
• (2012)
In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R, f(x + 2) = f(x + 1) + f(x). We develop the notion of Fibonacci functions using the concept of f-even ...
• (2012)
In this paper we discuss Fibonacci functions using the (ultimately) periodicity and we also discuss the exponential Fibonacci functions. Especially, given a non-negative real-valued function, we obtain several exponential ...
• (2010)
Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get LqS; X → LpT; Y estimates under some natural conditions on the kernel k : T × S → BX, Y, where X and Y are Banach spaces, ...
• (2016)
In this paper, we introduce the concept of several types of groupoids related to semigroups, viz., twisted semigroups for which twisted versions of the associative law hold. Thus, if (X, ∗) is a groupoid and if ϕ : X2 → ...
• (2013)
As federal funding in many public non-profit organizations (NPO’s) seems to be dwindling, it is of the utmost importance that efforts are focused on reducing operating costs of needy organizations, such as public schools. ...