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On Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0 kW3 k and Σn k=1 kW3− k

Yüksel Soykan · Asian Research Journal of Mathematics · 2020

In this paper, closed forms of the sum formulas Σn k=0 kW3 k and Σn k=1 kW3-k for the cubes of generalized Fibonacci numbers are presented. As special cases, we give sum formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers. We present the proofs to...

Open access Research Article 10.9734/arjom/2020/v16i630196

Effects of Some Flow Parameters on Unsteady MHD Fluid Flow Past a Moving Vertical Plate Embedded in Porous Medium in the Presence of Hall Current and Rotating System

M. O. Durojaye, K. A. Jamiu & F. O. Ogunfiditimi · Asian Research Journal of Mathematics · 2020

This paper is on the numerical study of the effects of some flow parameters like Hall current, rotation, thermal diffusion (Soret) and diffusion thermo (Dufour) on unsteady magnetohydrodynamic natural convective heat and mass transfer of a viscous, rotating, electrically conducti...

Open access Research Article 10.9734/arjom/2020/v16i630193

LHAM Approach to Fractional Order Rosenau-Hyman and Burgers' Equations

S. O. Ajibola, A. S. Oke & W. N. Mutuku · Asian Research Journal of Mathematics · 2020

Fractional calculus has been found to be a great asset in finding fractional dimension in chaos theory, in viscoelasticity diffusion, in random optimal search etc. Various techniques have been proposed to solve differential equations of fractional order. In this paper, the Laplac...

Open access Research Article 10.9734/arjom/2020/v16i630192

Introducing Hurdle_T as a Count Regression Model with High Potency in Solving Problems

Ojekudo, Nathaniel Akpofure & Akpan, Nsikan Paul · Asian Research Journal of Mathematics · 2020

Count data regression models exhibit different strengths and weaknesses in their bids to solving problems. The study considers six count models namely Poisson Regression Model (PRM), Negative Regression Model (NBRM), Zero Inflated Poisson (ZIP), Zero Inflated Negative Binomial (Z...

Open access Research Article 10.9734/arjom/2020/v16i530191

Panaitopol-Bandila-Lascu Type Inequalities for Generalized Hyperbolic Functions

Kwara Nantomah & Osman Kasimu · Asian Research Journal of Mathematics · 2020

In this paper, we establish Panaitopol-Bandila-Lascu type inequalities for some generalized hyperbolic functions. The established results extend and generalize some earlier results due Barbu and Piscoran. The procedure makes use of the classical arithmetic-geometric mean inequali...

Open access Research Article 10.9734/arjom/2020/v16i530190

The Use of Technology among School Mathematics Teachers and Students: The New Wave of Recommended Instructions

Evans Atteh, Isaac Assan-Donkoh, Frank Ayiku, Emmanuel Nkansah & Alfred Kofi Adams · Asian Research Journal of Mathematics · 2020

People in the early stages were even afraid to touch the computer, but nowadays almost everybody can use the computer and its tools. Integration of ICT in mathematics is not merely using computer for typing and printing questions, searching and delivering lessons via PowerPoint b...

Open access Research Article 10.9734/arjom/2020/v16i530189

Regulatory Issues of Digital Currencies

Chen Zhu & Zixuan Fu · Asian Research Journal of Mathematics · 2020

With the rapid development of the Internet and electronic payment, digital currencies with blockchain as the underlying technology have gradually entered people's horizons and have also received the attention of governments around the world. Due to the convenience and decentraliz...

Open access Research Article 10.9734/arjom/2020/v16i530188

Explicit Solutions of Integrable Variable-coeffcient Cylindrical Toda Equations

Ting Su, Jia Wang & Quan Zhen Huang · Asian Research Journal of Mathematics · 2020

Integrable cylindrical Toda lattice equations are proposed by utilizing a generalized version of the dressing method. A compatibility condition is given which insures that these equations are integrable. Further, soliton solutions for new type equations are shown in explicit form...

Open access Research Article 10.9734/arjom/2020/v16i530187

Symmetric Spaces in Riemannian and Semi-Riemannian Geometry

Ehsan Hashempour & Mir Mohammad Seyedvalilo · Asian Research Journal of Mathematics · 2020

In this paper, we will obtain the necessary and sufficient conditions for the analysis of the position of local symmetry on an arbitrary Riemannian manifold. These conditions are devoid of the aspects of Lie groups, and thus can be used in calculations of procedures, without inte...

Open access Research Article 10.9734/arjom/2020/v16i430186

Some Properties and Estimation of Parameters for the Five Parameter Type I Generalized Half Logistic Distribution under Complete Observation

O. A. Bello, P. O. Awodutire, I. Sule & H. O. Lawal · Asian Research Journal of Mathematics · 2020

This paper is a further study of the five parameter type I generalized half logistic distribution. We derived some properties of the distribution. Estimation of the parameters of the distribution under complete observation was studied using the maximum likelihood method. To asses...

Open access Research Article 10.9734/arjom/2020/v16i430185

Modelling Building Renovation Using PERT

Nsikan Paul Akpan & Gregory Okiemute Agadaga · Asian Research Journal of Mathematics · 2020

Effective project management techniques are critical to managers and decision makers in handling projects in today’s competitive environment. It is required that with such techniques, managers can carry out projects and complete them within specified time and resource constraint....

Open access Research Article 10.9734/arjom/2020/v16i430184

On the Hyper-Zagreb Index of Some Graph Binary Operations

Mohammed Saad Yahya Al-Sharafi & Mahioub Mohammed Shubatah · Asian Research Journal of Mathematics · 2020

This study looked at Graph theory as it is an important part of mathematics. Topological indices are numerical parameters of a graph which describe its structure, they have many applications as tools for modeling chemical and other properties of molecules. In this paper, we prese...

Open access Research Article 10.9734/arjom/2020/v16i430183

Exact Solution for the Zakhrov-Kuzentsov Equation by Adomian Decomposition Method

Fadlallah Mustafa Mosa & Eltayeb Abdellatif Mohamed Yousif · Asian Research Journal of Mathematics · 2020

The Zakharov-kuznetsov equation (ZK-equation) governs the behavior of weakly nonlinear ion-acoustic waves in plasma comprising cold ions and not isothermal electrons in the presence of a uniform magnetic field. This equation is a nonlinear equation. The main objective in this pap...

Open access Research Article 10.9734/arjom/2020/v16i430182

Tuberculosis Model with Exogenous Reinfection and Treatment

Ebenezer Appiagyei, Mojeeb AL-Rahman EL-Nor Osman & Isaac Kwasi Adu · Asian Research Journal of Mathematics · 2020

The epidemiology of tuberculosis model, which includes exogenous reinfection and treatment, is analyzed. We consider both the diagnosed and the undiagnosed individuals as infectious. Since tuberculosis is treatable, we also included the treatment for diagnosed infective. We prese...

Open access Research Article 10.9734/arjom/2020/v16i330181