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All published articles 1763

Some New Results and Generalizations in G-cone Metric Fixed Point Theory

Mohammad Al-Khaleel, Sharifa Al-Sharif & Mona Khandaqji · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, we present sufficient generalized contractive conditions for the existence of fixed points in what so-called G-cone metric spaces. Importantly, we have obtained our results using contractive conditions stated in terms of variable coefficients and with no use of the...

Open access Research Article 10.9734/BJMCS/2014/6840

Analytical Solutions to the Fractional Fisher Equation by Applying the Fractional Sub-equation Method

H. Yépez-Martínez, J. M. Reyes & I. O. Sosa · Journal of Advances in Mathematics and Computer Science · 2014

The fractional sub-equation method is proposed to construct analytical solutions of nonlinear fractional partial differential equations (FPDEs), involving Jumarie’s modified Riemann-Liouville derivative. The fractional sub-equation method is applied to the fractional Fisher equat...

Open access Research Article 10.9734/BJMCS/2014/9248

Theoretical Analysis and Simulation of Acute and Chronic Phase HIV-1 Dynamics

Frank Nani & Mingxian Jin · Journal of Advances in Mathematics and Computer Science · 2014

Aims: The dynamics of HIV-1 induced AIDS is attributed to several biological variables, which characterize the stage, virulence and morbidity of the disease. The aim of this research is to use a necessary and sufficient subset of these immunological variables to construct a clini...

Open access Research Article 10.9734/BJMCS/2014/1815

The Roles of Condition Number for the Interval Hull Solution Set in Least Squares Equation

Stephen Ehidiamhen Uwamusi · Journal of Advances in Mathematics and Computer Science · 2014

The paper considers nearness to singularity for which the Co-variance matrix in the least squares equation is well known. A synchronization of the condition number with ill-conditioning is highlighted which relates the quality of approximate solution to the described system. Vari...

Open access Research Article 10.9734/BJMCS/2014/8110

Statistical Inference for a Simple Step-Stress Model Based on Censored Data from the Kumaraswamy Weibull Distribution

H. R. Rezk, A. A. EL Helbawy & G. R. AL Dayian · Journal of Advances in Mathematics and Computer Science · 2014

The step-stress accelerated life tests allow increasing the stress levels on test units at fixed time during the experiment. In this paper, accelerated life tests are considered when lifetime of a product follows a Kumaraswamy Weibull distribution. The shape parameter is assumed...

Open access Research Article 10.9734/BJMCS/2014/7560

Optimal Design and Control for Minimizing the Dynamic Response of an Anisotropic Plate with Variable Thickness

M. A. Hafiz & A. E. Alamir · Journal of Advances in Mathematics and Computer Science · 2014

The problem of minimizing the dynamic response of an anisotropic rectangular plate of variable thickness with minimum possible expenditure of force is presented for various cases of boundary conditions. The plate has a principal direction of anisotropy rotated at an arbitrary ang...

Open access Research Article 10.9734/BJMCS/2014/7515

Interval-valued Hesitant Multiplicative Preference Relations and Their Application to Multi-criteria Decision Making

Zhiming Zhang & Chong Wu · Journal of Advances in Mathematics and Computer Science · 2014

Aims: The aim of this paper is to investigate interval-valued hesitant multiplicative preference relations and their application to multi-criteria decision making. Study Design: Based on pseudo-multiplication, we define some basic operations for the interval-valued hesitant multi...

Open access Research Article 10.9734/BJMCS/2014/9095

Solving k-Fractional Hilfer Differential Equations via Combined Fractional Integral Transform Methods

Olaniyi Samuel Iyiola · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, we introduce k-fractional Hilfer derivative given in [1]. A combination of fractional Fourier transform method and Laplace transform method is adopted to solve Cauchy-type problems involving k-fractional Hilfer derivatives and an integral operator whose kernel cont...

Open access Research Article 10.9734/BJMCS/2014/9444

Three Audio CODECs Using the LSM Interpolation and Comparison with PCM

Sameh Abdelwahab Nasr Eisa · Journal of Advances in Mathematics and Computer Science · 2014

In this paper we take advantage of the known interpolation Least Square Method (LSM) to construct audio coding/decoding (CODEC) algorithms. The purpose of this algorithm is to compress audio data, maintain high quality audio, and enable sending/storing audio as serial data throug...

Open access Research Article 10.9734/BJMCS/2014/6547

About Euclidean Codes in Rings

K. Abdelmoumen, H. Ben-azza & M. Najmeddine · Journal of Advances in Mathematics and Computer Science · 2014

In this paper, we construct codes over rings which have a Euclidean division, in the commutative and non commutative cases. Such construction generalizes Reed-Solomon codes. We exemplify the construction for Gaussian integers and Lipschitz quaternions.

Open access Research Article 10.9734/BJMCS/2014/8887

Exact Traveling Wave Solutions of Nonlinear Evolution Equation via Enhanced (G'/G)-Expansion Method

Kamruzzaman Khan, M. Ali Akbar & Harun-Or-Roshid . · Journal of Advances in Mathematics and Computer Science · 2014

In this work, we employ an enhanced (G' / G) -expansion method to study the nonlinear evolution equations (NLEEs). Here we derive exact traveling wave solutions for the modified Burgers-KDV equation. The obtained results show that the applied equation reveals richness of explicit...

Open access Research Article 10.9734/BJMCS/2014/6676