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Feb 12, 2018Open AccessArticle
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
RangeKutta method, to analyze the concentration and temperature of ...
Jan 31, 2018Open AccessArticle
In this paper, we introduce the concept of weakly Ccontraction mapping in modular metric
spaces. And we established some fixed point results in wcomplete spaces. Our results encompass various generalizations of
Banach contraction.
Jan 16, 2018Open AccessArticle
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
We establish some common fixed and common coincidence
point theorems for expansive type mappings in the setting of b_{2} metric
space. Our results extend some known results in metric spaces to b_{2} metric space. The research is meaningful ...
Oct 26, 2017Open AccessArticle
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
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 selfpotentials of
...
Sep 15, 2017Open AccessArticle
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
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
Our focus is the
development and implementation
of a new twostep 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 offgrid points. The
resulting equation is interpolated at selected points. We ...
Sep 28, 2016Open AccessArticle
This research is conducted in the summer of 2016 and it is supported by several agencies, 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 result of the work done in this program1. The purpose of this research is to analyze the mathematics behin ...
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