Volume 13, Issue 1 (2017) | Journal of Mathematics and Statistics

Study of Fractional Order Integro-Differential Equations by using Chebyshev Neural Network

Sarkhosh S. Chaharborj — 2017-02-11

Journal of Mathematics and Statistics, Published online: 11 February 2017; doi:10.3844/jmssp.2017.1.13

Recently fractional integro-differential equations have been proposed for the modeling of many complex systems. Simulation of these equations requires the development of suitable numerical methods. Th...

Odds Exponential Log Logistic Distribution: Properties and Estimation

Rosaiah Kanaparthi — 2017-01-25

Journal of Mathematics and Statistics, Published online: 25 January 2017; doi:10.3844/jmssp.2017.14.23

We propose a distribution called Odds Exponential Log Logistic Distribution (OELLD), which is an odds family of distribution. Its hazard rate is an increasing and decreasing function based on the valu...

Perturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model Equations

Grace O. Akinlabi — 2017-02-20

Journal of Mathematics and Statistics, Published online: 20 February 2017; doi:10.3844/jmssp.2017.24.29

In this study, a computational method referred to as Perturbation Iteration Transform Method (PITM), which is a combination of the conventional Laplace Transform Method (LTM) and the Perturbation Iter...

A Computational Method Based on Bernstein Polynomials for Solving FredholmIntegro-Differential Equations under Mixed Conditions

Miloud Moussai — 2017-02-27

Journal of Mathematics and Statistics, Published online: 27 February 2017; doi:10.3844/jmssp.2017.30.37

In this study, a computational method for solving linear FredholmIntegro-Differential Equation (FIDE) of the first order under the mixed conditions using the Bernstein polynomials. First, we present s...

On The Diophantine Equation x^a + y^a = p^kz^b

Keng Yarn Wong — 2017-03-11

Journal of Mathematics and Statistics, Published online: 11 March 2017; doi:10.3844/jmssp.2017.38.45

In this study, we consider the Diophantine equation xa + ya = pkzb where p is a prime number, gcd(a, b) = 1 and k,a,b∈Z+. We solve this equation parametrically by considering different cases of x an...

Spatial Interaction Image of Electroencephalography Signal during Epileptic Seizure on Flat Electroencephalography

Goh Chien Yong — 2017-03-13

Journal of Mathematics and Statistics, Published online: 13 March 2017; doi:10.3844/jmssp.2017.46.56

Electroencephalogram (EEG) is widely used for recording the brain electrical activity. It plays an important role in the detection and classification of epilepsy seizures. In addition, it is believed ...

Unique Representation of Positive Integers as a Sum of Distinct Tribonacci Numbers

Salim Badidja — 2017-03-16

Journal of Mathematics and Statistics, Published online: 16 March 2017; doi:10.3844/jmssp.2017.57.61

Let (Tm)m≥1 be the tribonacci sequence. We show that every integer N ≥ 1 can be written as a sum of the terms αm Tm, where m runs over the set of strictly positive integers and αm (m ≥ 1) ...

Numerical Investigation on Performance Improvement in Tube Inserted with Delta Winglets on Discrete Right-Angled Triangular Plates

Amnart Boonloi — 2017-03-16

Journal of Mathematics and Statistics, Published online: 16 March 2017; doi:10.3844/jmssp.2017.62.69

Numerical investigations on flow topology and heat transfer behavior in a round tube heat exchanger inserted with Delta Winglets (DW) on Discrete Right-angled Triangular Plates (DRTP) are performed. T...