With the development of human society, the evolving transition of energy will become a common challenge that mankind has to face together. In this context, it is crucial to make scientific and reasonable predictions about energy consumption. This paper presents a novel fractional...
Open access
Research Article10.9734/arjom/2019/v15i230142
Predator-prey models describe the interaction between two species, the prey which serves as a food source to the predator. The migration of the prey for safety reasons after a predator attack and the predator in search of food, from a patch to another may not be instantaneous. In...
Open access
Research Article10.9734/arjom/2019/v15i130140
The essence of this paper is to furnish a simple prime sieving technique which deletes composites from a nite list of natural numbers ending with any given odd digit with the exception of the digit 5, leaving behind prime numbers ending with the given digit. This technique is so...
Open access
Research Article10.9734/arjom/2019/v15i130139
The problem of determining necessary and sufficient conditions on P and Q for system. x = - y+P(x+y),y = x+Q(x+y) to have a center at the origin is known as the Poincaré center-focus problem. So far, people has tried many ways to solve the problem of central focus. However, it is...
Open access
Research Article10.9734/arjom/2019/v15i130138
The quaternions form a 4-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tetranacci and Tetranacci-Lucas quaternions. Furthermore, we present some properties of these quaternions and derive relationships between them. We present the generating functions, Binet...
Open access
Research Article10.9734/arjom/2019/v15i130137
In this paper, we present linear summation formulas for generalized Hexanacci numbers and generalized Gaussian Hexanacci numbers. Also, as special cases, we give linear summation formulas of Hexanacci and Hexanacci-Lucas numbers; Gaussian Hexanacci and Gaussian Hexanacci-Lucas nu...
Open access
Research Article10.9734/arjom/2019/v14i430136
In this problem, an examination of Casson Nanofluid boundary layer flow over linear slanted extending sheet by fusing the chemical reaction and heat generation impacts are under thought. Nanofluid demonstrate in this examination is developed on Buongiorno model for the thermal ef...
Open access
Research Article10.9734/arjom/2019/v14i430135
In this work we define Magic Polygons P(n, k) and Degenerated Magic Polygons D(n, k) and we obtain their main properties, such as the magic sum and the value corresponding to the root vertex. The existence of magic polygons P(n, k) and degenerated magic polygons D(n, k) are discu...
Open access
Research Article10.9734/arjom/2019/v14i430134
In this paper, some inequalities involving the extension of k-gamma function are presented. Consequently, some previous results are recovered as particular cases of the present results.
Open access
Research Article10.9734/arjom/2019/v14i430133