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Feb 12, 2018Open    AccessArticle

Comparison of Mathematical Methods to Obtain Concentration and Temperature of Newtonian Fluids in Tubular Reactors

Diego Alves de Miranda, Renato Cristofolini, Emerson José Corazza, Gilson Joao dos Santos, Claiton Emilio do Amaral
In several areas of engineering, it is possible to put real problems in mathematical functions; when we represent a problem with variables in the form of function, we were able to extract various information from it. This paper compared two different mathematical methods, being the finite difference method and the Fourth Order Range-Kutta method, to analyze the concentration and temperature of

Jan 31, 2018Open    AccessArticle

Fixed Point Results for Weakly C-Contraction Mapping in Modular Metric Spaces

Jinwei Zhao, Qianqian Zhao, Bo Jin, Linan Zhong
In this paper, we introduce the concept of weakly C-contraction mapping in modular metric spaces. And we established some fixed point results in w-complete spaces. Our results encompass various generalizations of Banach contraction.

Jan 16, 2018Open    AccessArticle

Aumann Integral on Time Scales

Iguer Luis Domini Dos Santos
In this paper, we consider by the first time the Aumann integral on time scales. Hence, we introduce the Aumann -integral on time scales. We also have established properties for the Aumann -integral on time scales. In particular, we obtain a

Oct 31, 2017Open    AccessArticle

Unique Common Fixed Point in b2 Metric Spaces

Jinxing Cui, Jinwei Zhao, Linan Zhong
We establish some common fixed and common coincidence point theorems for expansive type mappings in the setting of b2 metric space. Our results extend some known results in metric spaces to b2 metric space. The research is meaningful

Oct 26, 2017Open    AccessArticle

Nonlinear Spinors as the Candidate of Dark Matter

Yingqiu Gu
In this paper, we discuss the equation of state for nonlinear spinor gases in the context of cosmology. The mean energy momentum tensor is similar to that of the prefect fluid, but an additional function of state W is introduced to describe the nonlinear potential. The equation of state w(a)^-1 in the early universe is calculated, which provides a natural explan

Oct 26, 2017Open    AccessArticle

Functions of State for Spinor Gas in General Relativity

Yingqiu Gu
The energy momentum tensor of perfect fluid is a simplified but successful model in astrophysics. In this paper, assuming the particles driven by gravity and moving along geodesics, we derived the functions of state in detail. The results show that, these functions have a little correction for the usual thermodynamics. The new functions naturally satisfy the causal condition and consist with relativity. For the self-potentials of

Sep 15, 2017Open    AccessArticle

On Certain Subclass of Analytic Functions Based on Convolution of Ruscheweyh and Generalized Salagean Differential Operator

Ajai P. Terwase
In this paper, we obtain certain properties of an operator defined by the convolution between Ruscheweyh and Salagean differential operator; coefficient inequality, extreme point growth and distortion among other properties are investigated.

Jul 06, 2017Open    AccessArticle

Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors

Uriel Salmeron-Rodriguez
In this work, we present four results for the Laplace inverse transform of functions that involve the nth root of a product of linear factors. In order to find the Laplace inverse transform, we considered a branch cut for the nth root and a region of suitable integration, to avoid the branching points. Due to that, the solution is in terms of integrals, we easily approach this solution for some specific parameters.

Jun 19, 2017Open    AccessArticle

An Eight Order Two-Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations

Ayodele Olakiitan Owolanke, Ohi Uwaheren, Friday Oghenerukevwe Obarhua
Our focus is the development and implementation of a new two-step hybrid method for the direct solution of general second order ordinary differential equation. Power series is adopted as the basis function in the development of the method and the arising differential system of equations is collocated at all grid and off-grid points. The resulting equation is interpolated at selected points. We

Sep 28, 2016Open    AccessArticle

Applications of Image Morphing Techniques to Analyze Changes in Our Environment

Tanvir Prince, Yanicel Fragoso, Ousmane Gaye
This research is conducted in the summer of 2016 and it is supported by several agen-cies, such as the CILES grant of Prof. Angulo Nieves, professor of Mathematics at Hostos Community College and the New York City Research Initiative1. The team is part of the summer program CCRI associated to NASA. This research paper is the re-sult of the work done in this program1. The purpose of this research is to analyze the mathematics behin