Aims: Theories of diffusion process play an important role in safety traffic applications. The purpose of this paper is to introduce a methodology capable for fitting the yearly traffic accidents in Kuwait. More specifically, a lognormal diffusion model is specified to be capable...
Open access
Research Article10.9734/ARJOM/2017/31195
In this paper, we obtain a common Caristi-type fixed point theorem for two single valued mappings in the setting of cone metric spaces. Further, we derive some consequences and a coupled fixed point theorem for two mappings without the need of the monotonicity assumption. Our wor...
Open access
Research Article10.9734/ARJOM/2017/31092
Duffing oscillator (or Duffing Equation) is one of the most significant and classical nonlinear ordinary differential equations in view of its diverse applications in science and engineering. This paper attempts to study some applications of Duffing oscillator and also develop an...
Open access
Research Article10.9734/ARJOM/2017/31199
A Mathematical model of (S,E,Iu,Id,Is,R,D) is presented to study the dynamical spread of Ebola in the population. Existence of the Local Stability of the disease–free equilibrium (DFE) was investigated via the threshold parameter (Reproduction number R0 ) obtained using the next...
Open access
Research Article10.9734/ARJOM/2017/31201
In this paper, the mean square convergence and stability of the split-step theta-Milstein schemes for stochastic differential equations are discussed. First, it is shown that these methods are mean square convergent with strong order 1. Then, we investigate the mean square stabil...
Open access
Research Article10.9734/ARJOM/2017/30465
In this paper, we consider the van der Pol oscillator with small fractional damping. To construct the approximate and numerical solutions of the equation, the method of multiple time scales and finite differences method are used, respectively. It is shown that the approximate sol...
Open access
Research Article10.9734/ARJOM/2017/30865
The dynamics response of Beam on elastic foundation with axial force to partially distributed moving loads was examined. The fourth order partial differential equation which is the governing equation was first reduced to second order differential equation by assume a solution i...
Open access
Research Article10.9734/ARJOM/2017/30643
We present some cusp forms on the full modular group ⌈1, using the properties of eigenfunctions, nonanalytic Poincare series and Hecke operators Tn. Further, the Fourier coefficients of cusp forms Tnf on ⌈1 are given in terms of Dirichlet series associated to the Fourier coeffic...
Open access
Research Article10.9734/ARJOM/2017/31152
In the present paper, we investigate numerically the effect of chemical reaction, and radiation on magnetohydrodynamic Casson fluid flow over non-linearly stretching surface with fluid suction. By suitable similarity transformations, the governing boundary layer equations are tra...
Open access
Research Article10.9734/ARJOM/2017/31013
In this paper, we discuss Diffusion-thermo and Thermo-diffusion effects on MHD free convective incompressible, Newtonian fluid flow over non linearly stretching sheet with radiation and chemical reaction, through a non-Darcy porous medium. By suitable similarity transformations,...
Open access
Research Article10.9734/ARJOM/2017/30764
The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a perturbation potential of the Laplacian is proved and suitable conditions on the potential that guara...
Open access
Research Article10.9734/ARJOM/2017/31160
In this paper we consider the problem about the conditions on f(x), g(x) and a(t) to ensure that all solutions of (1) are continuable and oscillatory using non usual assumptions.
Open access
Research Article10.9734/ARJOM/2017/30885
The asymmetric information plays critical role in all economics. In the presence of asymmetric information in a given market, market prices of assets are different with those prices under the no arbitrage assumption. It has fundamental effects on the market equilibrium. [1] consi...
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Research Article10.9734/ARJOM/2017/29175
In this paper, the Kalman filter for a variance term of state space models is derived. First, it is assumed that the innovation term of state space model have a GARCH structure and the Kalman filter is derived. Then, it is assumed that the error term of observation equation is GA...
Open access
Research Article10.9734/ARJOM/2017/29172
Strong consistency and conditional asymptotic normality of the conditional least squares estimator of a parameter appearing nonlinearly in the time dependent drift coefficient of the Itô stochastic differential equation are obtained under some regularity conditions when the corre...
Open access
Research Article10.9734/ARJOM/2017/38665