In this paper, I have introduced half-metric spaces on normed vector spaces over \(\mathbb{R}\) or \(\mathbb{C}\), which are similar to metric spaces by relaxing a few conditions of metric space.I have also introduced even half-metric spaces,established some properties and discus...
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Research Article10.9734/arjom/2022/v18i230361
This paper analyses Ghana’s gross domestic product using time series Autoregressive Integrated Moving Average (ARIMA). Time series analysis involves the application of statistical models to time series data and is useful for analysing the dynamics of Gross domestic product. The G...
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Research Article10.9734/arjom/2022/v18i230359
In this paper, an SEIR epidemic model with nonlinear incidence is considered. First, we formulate the model and obtain its basic properties. Then, we find the equilibrium points of the model, the disease-free and the endemic equilibrium. The stability of disease-free and endemic...
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Research Article10.9734/arjom/2022/v18i230360
In this paper, l demonstrates the performance and efficiency of new line search methods with three-term hybrid descent method for the solution of unconstrained optimization problems (UOPs). The techniques advanced the sustainable range of step-length to a broader level than the p...
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Research Article10.9734/arjom/2022/v18i230358
As an effective method for solving linear and nonlinear equations, the homotopy perturbation method is usually applied to solving relevant problems. We analyze 74 studies on the application of the homotopy perturbation method and present a comprehensive review of them with the co...
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Research Article10.9734/arjom/2022/v18i230357
Supplementary variables associated with the study variables have been identified to be helpful in improving the efficiency of ratio, product and regression estimators both at planning and estimation stages. The existing regression-based estimators are functions of regression slop...
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Research Article10.9734/arjom/2022/v18i230356
The use of relevant information from auxiliary variable at the estimation stage and design stage to obtain reliable and efficient estimate is a common practice is a sample survey. But situations arise when the available auxiliary information are attribute in nature. There are som...
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Research Article10.9734/arjom/2022/v18i130355
An effective one-step hybrid block for getting the approximate solution of a fifth-order IVP with applications to problems in the sciences and engineering is constructed in this study. The mathematical formulation of the method is based on the principle of interpolation and collo...
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Research Article10.9734/arjom/2022/v18i130354
Let X be a Complex Banach space and T be a bounded operator in X. The number sup {|λ| : λ ∈ σ(T)} (where σ(T) is the spectrum of T and σ(T) ̸= ϕ) is called the spectral radius of T and denoted by r(T). Since λ ≤ ∥T∥for all λ ∈ σ(T), it follows that r(T) ≤ ∥T∥. The spectral mappin...
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Research Article10.9734/arjom/2022/v18i130353
The present paper analyzes the second-order fractional Fredholm integro-differential equations by means of the Caputo definition in the fractional calculus (FC). The exact solutions are obtained for two examples utilizing a direct solution method. Furthermore, it is shown that th...
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Research Article10.9734/arjom/2022/v18i130352
The goal of this work is not only the search for the solutions of a nonlinear partial differential equation, but how to locate and choose a form of solution verifying the nonlinear partial differential equation. In this work, we use the probabilities of appearance of the pairs (n...
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Research Article10.9734/arjom/2022/v18i130350
In this paper, a generalized exponential-type estimator for estimating the population variance using measurable and affordable auxiliary character in single phase sampling has been proposed. Some special cases of the proposed generalized estimator with a = 1 and a = 2 have also b...
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Research Article10.9734/arjom/2022/v18i130351
In a similar spirit to the papers [1,2], existence and decay for a plate type equation is obtained. The result is a generalization of the work for the linear equation in the paper [1].
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Research Article10.9734/arjom/2021/v17i1230349
The focus of the present study is to examine chemical reaction and Joule heating effects on steady flow of a viscous radiating fluid in a porous medium under the influence of variable viscosity. The fluid viscosity is assumed to vary exponentially with temperature. The governing...
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Research Article10.9734/arjom/2021/v17i1230346
In this paper, we introduced new index from the Zagreb index family, named as -index is defined as the sum of degree five of all the vertices of a graph. We derive the -index of some different graph operations such that Join, Cartesian product, Composition, Corona product, Tensor...
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Research Article10.9734/arjom/2021/v17i1230347