In this paper, we consider the determinant and the inverse of a skew Peoeplitz matrix and a skew Peankel matrix involving Perrin numbers. we first give the definition of a skew Peoeplitz matrix and a skew Peankel matrix. Then we compute the determinant and the inverse of the skew...
Open access
Research Article10.9734/JAMCS/2018/43496
The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function are obtained in the framework of the AC-Laplace transform, that is the Laplace transform supplemented by its analytic continuation. In particular, discus...
Open access
Research Article10.9734/JAMCS/2018/43059
A linear differential equation with polynomial coefficients, which is expressed by is studied, where ak,m are constants. In the present study, the lefthand side of the equation is rewritten where and each of is called a block of classified terms in Lu(t). The solution is...
Open access
Research Article10.9734/JAMCS/2018/43000
In this paper we discuss a new epidemic model for the dynamics of infectious disease in the presence of vaccine and therapeutic treatment is proposed and analyzed theoretically as well as numerically. The disease is transmitted from infected individuals and contaminated water to...
Open access
Research Article10.9734/JAMCS/2018/43217
Multi-derivative linear multi-step methods with continuous coefficients was derived through the block method approach using power series as basis function. Discrete scheme systems involving the multi-derivative linear methods were developed and their basic properties examined. Th...
Open access
Research Article10.9734/JAMCS/2018/42045
The dynamics of a bound state theory - based on a QED like Lagrangian with fermions coupled to boson fields - has been studied explicitly. Different from the Hamilton approach studied earlier, an additional acceleration term is found, which is spurious for fundamental bound state...
Open access
Research Article10.9734/JAMCS/2018/42590
Various methods are available for choosing statistical models. It is difficult to know which model selection criterion is the best for specific data. This paper discusses a method for choosing the model selection criterion based on the characteristics of the data and models. As a...
Open access
Research Article10.9734/JAMCS/2018/43344
The determination of the number of representations of a positive integer by certain octonary quadratic forms are given in the literature. For instance, the formulas N(12a, 22b, 32c, 62d; n) for the nine octonary quadratic forms are given with a = 1, b = 2, c = 3 and d = 6. Moreov...
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Research Article10.9734/JAMCS/2018/42653
The concept of ‘Ψ - Caputo’ fractional derivative is discussed in this article. This method is based on the fractional derivative in Caputo sense of a function with respect to another function Ψ , called kernel. The kernel function Ψ , is any increasing function such that . Expe...
Open access
Research Article10.9734/JAMCS/2018/43054
Quadratic forms in four variables over the field 2 are sorted first of all with respect to permutation symmetry. Thereafter it is shown that any such form is equivalent to one of seven such canonical forms. The orthogonal group of each one of these seven forms is obtained. The pa...
Open access
Research Article10.9734/JAMCS/2018/42882