This paper studies a prominent class of recursively-defined combinatorial functions, namely, the binomial and multinomial coefficients and probabilities. The paper reviews the basic notions and mathematical definitions of these four functions. Subsequently, it characterizes each...
Open access
Research Article10.9734/JAMCS/2018/42137
The dynamic behaviour of a simply supported rectangular plate moving with non-uniform velocities is investigated in this paper. The inertia and gravity effects of the moving load are taken into consideration. In order to solve the governing fourth order partial differential equat...
Open access
Research Article10.9734/JAMCS/2018/42037
This article focuses on the development of implicit hybrid method for the general solution of second order ordinary differential equations with initial values (IVPs). The method of collocation and interpolation of power series was used to derive the method, while Taylor series is...
Open access
Research Article10.9734/JAMCS/2018/40447
In this paper, the problem of exponential H∞ filtering is investigated for uncertain singular Markovian jump systems(SMJSs) with time-varying delay. A mode dependent approach is presented to deal with it. By constructing a stochastic Lyapunov functional and employing some novel i...
Open access
Research Article10.9734/JAMCS/2018/40826
In this work a dynamical system of three bodies with decreasing mass with respect to time is deduced. The Jean’s law is applied onto equations of motion. The equations of motion in this case are differed from that with constant mass only by small perturbing force considered as th...
Open access
Research Article10.9734/JAMCS/2018/40842
We consider the family of differential-reflection operators ∧A,∈. We study the harmonic analysis associated with this operator. Next we de ne and characterize the mean-periodic functions associated with ∧A,∈.
Open access
Research Article10.9734/JAMCS/2018/38207
In order to improve the performance of Deep Q-learning when dealing with the area traffic control which is a partially observable Markov decision process. This paper introduces Deep Recurrent Q-learning by changing the fully connected network layers to LSTM layers. On the other h...
Open access
Research Article10.9734/JAMCS/2018/41281
A new method called differential transform decomposition method (DTDM) for solving differential equations was developed. This method was derived by coupling the scheme of Differential Transform with Adomain polynomials,the necessity of the Adomian polynomial is to decompose the t...
Open access
Research Article10.9734/JAMCS/2018/40159
In this study, we consider a directed-diffusion system describing the interactions between two organisms in heterogeneous environment. We focus on the effects of two distribution functions while two species are distributed with their corresponding resource function. We determine...
Open access
Research Article10.9734/JAMCS/2018/41247
Recently an implicit method has been developed for solving singular initial value problems numerically which have an initial singular point. The method is simple and gives significantly better results than the implicit Euler method as well as second order implicit Runge-Kutta (RK...
Open access
Research Article10.9734/JAMCS/2018/39745