Skip Content
You are currently on the new version of our website. Access the old version .

Mathematics, Volume 7, Issue 6

2019 June - 83 articles

Cover Story: The recurrent neural network model (top left) is employed in an economic model predictive control system (bottom left) to maximize process operating profit in real-time. The implementation (right) is conducted in a distributed computing cluster to improve computational efficiency. View this paper.
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (83)

  • Article
  • Open Access
20 Citations
3,931 Views
11 Pages

In this paper, we study a three step iterative scheme to approximate fixed points of Suzuki’s generalized non-expansive mappings. We establish some weak and strong convergence results for such mappings in uniformly convex Banach spaces. Further...

  • Article
  • Open Access
9 Citations
3,084 Views
9 Pages

A mathematical chaos model for the dynamical behaviors of atmospheric acoustic-gravity waves is considered in this paper. Boundedness and globally attractive sets of this chaos model are studied by means of the generalized Lyapunov function method. T...

  • Article
  • Open Access
2,469 Views
13 Pages

The multiple criteria and multiple constraint level (MC 2 ) model is a useful tool to deal with the decision programming problems, which concern multiple decision makers and uncertain resource constraint levels. In this paper, by regarding the...

  • Article
  • Open Access
14 Citations
7,886 Views
16 Pages

Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection

  • Carla M. A. Pinto,
  • Ana R. M. Carvalho,
  • Dumitru Baleanu and
  • Hari M. Srivastava

We propose a fractional order model to study the efficacy of the Post-Exposure Prophylaxis (PEP) in human immunodeficiency virus (HIV) within-host dynamics, in the presence of the HIV latent reservoir. Latent reservoirs harbor infected cells that con...

  • Article
  • Open Access
14 Citations
3,490 Views
12 Pages

Existence Result and Uniqueness for Some Fractional Problem

  • Guotao Wang,
  • Abdeljabbar Ghanmi,
  • Samah Horrigue and
  • Samar Madian

In this article, by the use of the lower and upper solutions method, we prove the existence of a positive solution for a Riemann–Liouville fractional boundary value problem. Furthermore, the uniqueness of the positive solution is given. To demo...

  • Feature Paper
  • Review
  • Open Access
216 Citations
14,006 Views
28 Pages

Modern economics was born in the Marginal revolution and the Keynesian revolution. These revolutions led to the emergence of fundamental concepts and methods in economic theory, which allow the use of differential and integral calculus to describe ec...

  • Article
  • Open Access
12 Citations
2,678 Views
14 Pages

The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation. In this paper, we investigate Hyers–...

  • Article
  • Open Access
41 Citations
6,221 Views
9 Pages

This paper deals with the application of the fractional calculus as a tool for mathematical modeling and analysis of real processes, so called fractional-order processes. It is well-known that most real industrial processes are fractional-order ones....

  • Article
  • Open Access
2 Citations
2,704 Views
16 Pages

This paper constructs the generalized viscosity implicit midpoint rule for nonexpansive mappings in Banach space. It obtains strong convergence conclusions for the proposed algorithm and promotes the related results in this field. Moreover, this pape...

  • Article
  • Open Access
3 Citations
2,556 Views
11 Pages

In this paper, we consider the Wiener–Poisson risk model, which consists of a Wiener process and a compound Poisson process. Given the discrete record of observations, we use a threshold method and a regularized Laplace inversion technique to e...

  • Article
  • Open Access
18 Citations
2,765 Views
7 Pages

Semi-Idempotents in Neutrosophic Rings

  • Vasantha Kandasamy W.B.,
  • Ilanthenral Kandasamy and
  • Florentin Smarandache

In complex rings or complex fields, the notion of imaginary element i with i 2 = 1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I 2 = I is included. The neutrosop...

  • Article
  • Open Access
24 Citations
4,170 Views
20 Pages

Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells

  • Aasma Khalid,
  • Muhammad Nawaz Naeem,
  • Zafar Ullah,
  • Abdul Ghaffar,
  • Dumitru Baleanu,
  • Kottakkaran Sooppy Nisar and
  • Maysaa M. Al-Qurashi

This paper is devoted to the study of the Cubic B-splines to find the numerical solution of linear and non-linear 8th order BVPs that arises in the study of astrophysics, magnetic fields, astronomy, beam theory, cylindrical shells, hydrodynamics and...

  • Article
  • Open Access
8 Citations
3,226 Views
10 Pages

This article studies the generalized Mittag–Leffler stability of Hilfer fractional nonautonomous system by using the Lyapunov direct method. A new Hilfer type fractional comparison principle is also proved. The novelty of this article is the fr...

  • Article
  • Open Access
1 Citations
2,348 Views
11 Pages

In this paper, we study the regularity of the weak solution of the coupled system derived from the microwave heating model with frequency variable. We first show that the weak solution E of the system is Hölder continuous near the boundary...

  • Article
  • Open Access
2 Citations
3,152 Views
13 Pages

A Numerical Method for Filtering the Noise in the Heat Conduction Problem

  • Yao Sun,
  • Xiaoliang Wei,
  • Zibo Zhuang and
  • Tian Luan

In this paper, we give an effective numerical method for the heat conduction problem connected with the Laplace equation. Through the use of a single-layer potential approach to the solution, we get the boundary integral equation about the density fu...

  • Article
  • Open Access
11 Citations
6,063 Views
13 Pages

Modeling, Simulation, and Temperature Control of a Thermal Zone with Sliding Modes Strategy

  • Frank Florez,
  • Pedro Fernández de Córdoba,
  • José Luis Higón,
  • Gerard Olivar and
  • John Taborda

To reduce the energy consumption in buildings is necessary to analyze individual rooms and thermal zones, studying mathematical models and applying new control techniques. In this paper, the design, simulation and experimental evaluation of a sliding...

  • Article
  • Open Access
3,100 Views
19 Pages

This study utilized the newly-designed Bayesian equal part regression (BEPR) model to analyze the Taiwan National Security surveyed data from 2015 in order to construct a model of Taiwanese people’s regime acceptance of Mainland China and U.S g...

  • Article
  • Open Access
48 Citations
5,317 Views
16 Pages

The Kortweg–de Vries equations play an important role to model different physical phenomena in nature. In this research article, we have investigated the analytical solution to system of nonlinear fractional Kortweg–de Vries, partial diff...

  • Article
  • Open Access
44 Citations
7,228 Views
20 Pages

In this work, a Lyapunov-based economic model predictive control (LEMPC) method is developed to address economic optimality and closed-loop stability of nonlinear systems using machine learning-based models to make predictions. Specifically, an ensem...

  • Article
  • Open Access
22 Citations
3,301 Views
25 Pages

In this paper, we define q-rung picture fuzzy hypergraphs and illustrate the formation of granular structures using q-rung picture fuzzy hypergraphs and level hypergraphs. Further, we define the q-rung picture fuzzy equivalence relation and q-rung pi...

  • Article
  • Open Access
29 Citations
5,571 Views
20 Pages

Environmental deterioration is one of the current hot topics of the business world. To cope with the negative environmental impacts of corporate activities, researchers introduced the concept of closed-loop supply chain (CLSC) management and remanufa...

  • Article
  • Open Access
26 Citations
4,200 Views
26 Pages

Stochastic-Petri Net Modeling and Optimization for Outdoor Patients in Building Sustainable Healthcare System Considering Staff Absenteeism

  • Chang Wook Kang,
  • Muhammad Imran,
  • Muhammad Omair,
  • Waqas Ahmed,
  • Misbah Ullah and
  • Biswajit Sarkar

Sustainable healthcare systems are gaining more importance in the era of globalization. The efficient planning with sustainable resources in healthcare systems is necessary for the patient’s satisfaction. The proposed research considers perform...

  • Article
  • Open Access
17 Citations
4,857 Views
19 Pages

Competition in business is higher in the electronics sector compared to other sectors. In such a situation, the role of a manufacturer is to manage the inventory properly with optimized profit. However, the problem of unreliability within buyers stil...

  • Article
  • Open Access
1 Citations
2,366 Views
11 Pages

Antagonistic exploitation in competition with a cooperative strategy defines a social dilemma, whereby eventually overall fitness of the population decreases. Frequency-dependent selection between two non-mutating strategies in a Moran model of rando...

  • Article
  • Open Access
2 Citations
2,637 Views
27 Pages

On a Bi-Parametric Family of Fourth Order Composite Newton–Jarratt Methods for Nonlinear Systems

  • Janak Raj Sharma,
  • Deepak Kumar,
  • Ioannis K. Argyros and
  • Ángel Alberto Magreñán

We present a new two-parameter family of fourth-order iterative methods for solving systems of nonlinear equations. The scheme is composed of two Newton–Jarratt steps and requires the evaluation of one function and two first derivatives in each...

  • Article
  • Open Access
8 Citations
3,531 Views
16 Pages

Over the last decade, high dimensional data have been popularly paid attention to in bioinformatics. These data increase the likelihood of detecting the most promising novel information. However, there are limitations of high-performance computing an...

  • Article
  • Open Access
52 Citations
5,730 Views
10 Pages

Some New Fractional-Calculus Connections between Mittag–Leffler Functions

  • Hari M. Srivastava,
  • Arran Fernandez and
  • Dumitru Baleanu

We consider the well-known Mittag–Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus. In particular, we express the three-parameter Mittag–Leffler function as a fr...

  • Article
  • Open Access
40 Citations
3,683 Views
15 Pages

In this study, Gegenbauer wavelets are used to present two numerical methods for solving the coupled system of Burgers’ equations with a time-fractional derivative. In the presented methods, we combined the operational matrix of fractional inte...

  • Article
  • Open Access
2 Citations
3,083 Views
13 Pages

In this article, an inverse problem with regards to the Laplace equation with non-homogeneous Neumann boundary conditions in a three-dimensional case is investigated. To deal with this problem, a regularization method (mollification method) with the...

  • Article
  • Open Access
14 Citations
3,843 Views
15 Pages

As the level of potassium can interfere with the normal circulation process of biosphere materials, the available potassium is an important index to measure the ability of soil to supply potassium to crops. There are rarely studies on the inversion o...

  • Article
  • Open Access
24 Citations
10,240 Views
28 Pages

We consider the logistic growth model and analyze its relevant properties, such as the limits, the monotony, the concavity, the inflection point, the maximum specific growth rate, the lag time, and the threshold crossing time problem. We also perform...

of 2

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Mathematics - ISSN 2227-7390