The original computations deriving the Casimir energy and force consists of first taking limits of the spectral zeta function and afterwards analytically extending the result. This process of computation presents a weakness in Hendrik Casimir’s original argument since limit and a...
Open access
Research Article10.9734/ARJOM/2017/33689
Topological graph theory deals with embedding the graphs in Surfaces, and the graphs considered as a topological spaces. The concept topology extended to the topologized graph by the S1 space and the boundary of every vertex and edge. The space is S1 if every singleton in the top...
Open access
Research Article10.9734/ARJOM/2017/33109
This work considered an investor’s portfolio where consumption, taxes, transaction costs and dividends are in involved, under constant elasticity of variance (CEV). The stock price is assumed to be governed by a constant elasticity of variance CEV model and the goal is to maximiz...
Open access
Research Article10.9734/ARJOM/2017/33425
Energy of graph and energy of fuzzy graph is the sum of the absolute values of the eigen values of adjacency matrix. The concept of energy of fuzzy graph is extended to fuzzy regular, totally regular and graceful graphs in this paper. This paper intends to elaborate about charact...
Open access
Research Article10.9734/ARJOM/2017/33057
The study aims at addressing the effect of students’ perception and its impact on student interest in Mathematics using multivariate statistical techniques. One Thousand Two Hundred and Sixty Three (1263) students were drawn from ten (10) Senior High Schools in the Ashanti region...
Open access
Research Article10.9734/ARJOM/2017/33023
The multiplicative non-linearity term is usually assumed to be globally Lipschitz in most results on SPDEs. This work proves that the solutions fail to exist if the non-linearity term grows faster than linear growth. The global non-existence of the solution occurs for some non-li...
Open access
Research Article10.9734/ARJOM/2017/33317
Fredholm integral equations of the first kind are considered by applying regularization method and the homotopy analysis method. This kind of integral equations are considered as an ill-posed problem and for this reason needs an effective method in solving them. This method first...
Open access
Research Article10.9734/ARJOM/2017/32585
Let G be bipartite graph with V vertices and E edges. A topological space X is a topologized graph if it satisfies the following conditions: Every singleton is open or closed. ∀x∈X, ∣∂(x)∣≤2, where ∂(x) is a boundary of x. Here the topology is defined on the gr...
Open access
Research Article10.9734/ARJOM/2017/33107
The paper obtains explicit form of fine large deviation theorems for the log-likelihood ratio in testing fractional stochastic partial differential equation models using a finite number of Fourier coefficients of the solution. The equation is driven by additive noise that is whit...
Open access
Research Article10.9734/ARJOM/2017/33094
In this paper, we present a numerical method for solving linear and nonlinear Volterra integral equations of the second kind which is based on the use of Adomian decomposition method. It can effectively solve problems that may be complex when using the standard Adomian Decomposit...
Open access
Research Article10.9734/ARJOM/2017/33105