In this paper we have introduced Heptagonal fuzzy numbers (HpFNs) which deals with the membership function for the set of seven numbers. Arithmetic operations such as addition, subtraction, multiplication and division of two HpFNs based on α- cuts method, Zadeh’s extension princi...
Open access
Research Article10.9734/ARJOM/2017/31578
Aim: The unsteady boundary layer incompressible fluid (gas) with suspended particulate matter (SPM) with special attention to electrification of particles over a stretching sheet has been investigated. The rate of stretching is important because the rapid stretching results in su...
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Research Article10.9734/ARJOM/2017/31830
Many naturally occurring networks have a power-law degree distribution as well as a non-zero degree correlation. Despite this, most studies analyzing the robustness to random node- deletion and vulnerability to targeted node-deletion have concentrated only on power-law degree dis...
Open access
Research Article10.9734/ARJOM/2017/31293
In this paper, a new convergence analysis of Adomian Decomposition Method (ADM) for second-order problems will be presented. The ADM will also be implemented on second-order oscillatory problems to generate approximate solutions. This research is motivated by the fact that a lot...
Open access
Research Article10.9734/ARJOM/2017/32011
In mathematics, collocation method is a method for the numerical solution of ordinary differential, partial differential and integral equations. The idea is to choose a finite-dimensional space of candidate solutions (usually polynomial up to a certain degree) and a number of poi...
Open access
Research Article10.9734/ARJOM/2017/30642
Let X and Y be Banach spaces and Ω be an open subset of X. Let f : X → Y be a Frechet differentiable function on Ω and F : X 2Y be a set valued mapping with closed graph. We deal with smooth generalized equations which is de ned by the sum of Frechet di erentiable function and a...
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Research Article10.9734/ARJOM/2017/31288
In this paper, a new method called Sumudu Transform Series Decomposition Method (STSDM) is applied to three different models of Oscillatory problems (Van der Pol, Duffing and Nonlinear Oscillatory equations). The method was developed by Combining the Sumudu Transform, Series Expa...
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Research Article10.9734/ARJOM/2017/31350
Steady oscillatory flow in a bifurcating green plant is investigated. The channel is assumed axisymmetrical and porous; the fluid is Newtonian, incompressible, electrically conducting and chemically reactive but of the order one homogeneous type. The models are developed using th...
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Research Article10.9734/ARJOM/2017/31306
The influence of rotatory inertial correction factor on the vibration of elastically supported non uniform Rayleigh beam under moving distributed masses and resting on variable bi-parametric elastic foundation is investigated. The governing equation is a fourth order partial diff...
Open access
Research Article10.9734/ARJOM/2017/31271
Based on the classic SIR model, the paper constructs an Epidemic Model with nonlinear incidence rate and cure rate under the influence of media. The model is qualitatively analyzed and simulated and verified by Matlab. The results indicated that the media played a role in decreas...
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Research Article10.9734/ARJOM/2017/31296
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...
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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...
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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