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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.
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Articles (83)

  • Feature Paper
  • Article
  • Open Access
7 Citations
2,871 Views
14 Pages

Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points

  • Rajab Ali Borzooei,
  • Mona Aaly Kologani,
  • Mahdi Sabet Kish and
  • Young Bae Jun

24 June 2019

In this paper, we introduce the notions of ( , ) -fuzzy positive implicative filters and ( , q ) -fuzzy positive implicative filters in hoops and investigate their properties. We also define some equival...

  • Article
  • Open Access
6 Citations
3,712 Views
15 Pages

24 June 2019

Humans breathe air into the respiratory system through the trachea, but with all the pollutants in our environment (both outside and inside), the air we breathe may not be clean. When that is so, the respiratory system secretes mucus to trap dirt tha...

  • Article
  • Open Access
9 Citations
4,947 Views
20 Pages

An Introduction to Space–Time Exterior Calculus

  • Ivano Colombaro,
  • Josep Font-Segura and
  • Alfonso Martinez

21 June 2019

The basic concepts of exterior calculus for space–time multivectors are presented: Interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields. Two Stokes...

  • Article
  • Open Access
11 Citations
5,553 Views
22 Pages

20 June 2019

Nowadays, resource utilization and management are very important for businesses. They try to make a profit by providing high levels of efficiency from available sources. Their labor force is one of these sources. Therefore, scheduling based on person...

  • Article
  • Open Access
3 Citations
3,302 Views
26 Pages

20 June 2019

A generic family of optimal sixteenth-order multiple-root finders are theoretically developed from general settings of weight functions under the known multiplicity. Special cases of rational weight functions are considered and relevant coefficient r...

  • Article
  • Open Access
10 Citations
3,542 Views
8 Pages

Characterization of Graphs Associated with Numerical Semigroups

  • Muhammad Ahsan Binyamin,
  • Hafiz Muhammad Afzal Siddiqui,
  • Nida Munawar Khan,
  • Adnan Aslam and
  • Yongsheng Rao

19 June 2019

Let Γ be a numerical semigroup. We associate an undirected graph G ( Γ ) with a numerical semigroup Γ with vertex set { v i : i N \ Γ } and edge set { v i v j i + j &G...

  • Article
  • Open Access
44 Citations
4,123 Views
18 Pages

Recursive Algorithms for Multivariable Output-Error-Like ARMA Systems

  • Hao Ma,
  • Jian Pan,
  • Lei Lv,
  • Guanghui Xu,
  • Feng Ding,
  • Ahmed Alsaedi and
  • Tasawar Hayat

19 June 2019

This paper studies the parameter identification problems for multivariable output-error-like systems with colored noises. Based on the hierarchical identification principle, the original system is decomposed into several subsystems. However, each sub...

  • Article
  • Open Access
14 Citations
3,578 Views
16 Pages

19 June 2019

The paper proves a unified analysis for finite-time anti-synchronization of a class of integer-order and fractional-order chaotic systems. We establish an effective controller to ensure that the chaotic system with unknown parameters achieves anti-sy...

  • Article
  • Open Access
7 Citations
4,065 Views
22 Pages

The Modified Inertial Iterative Algorithm for Solving Split Variational Inclusion Problem for Multi-Valued Quasi Nonexpansive Mappings with Some Applications

  • Pawicha Phairatchatniyom,
  • Poom Kumam,
  • Yeol Je Cho,
  • Wachirapong Jirakitpuwapat and
  • Kanokwan Sitthithakerngkiet

19 June 2019

Based on the very recent work by Shehu and Agbebaku in Comput. Appl. Math. 2017, we introduce an extension of their iterative algorithm by combining it with inertial extrapolation for solving split inclusion problems and fixed point problems. Under s...

  • Feature Paper
  • Review
  • Open Access
38 Citations
5,267 Views
50 Pages

18 June 2019

This article is a review of problems and difficulties arising in the construction of fractional-dynamic analogs of standard models by using fractional calculus. These fractional generalizations allow us to take into account the effects of memory and...

  • Feature Paper
  • Article
  • Open Access
11 Citations
3,619 Views
19 Pages

18 June 2019

We consider two different time-inhomogeneous diffusion processes useful to model the evolution of a population in a random environment. The first is a Gompertz-type diffusion process with time-dependent growth intensity, carrying capacity and noise i...

  • Article
  • Open Access
34 Citations
3,912 Views
13 Pages

17 June 2019

This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for nonlinearit...

  • Article
  • Open Access
28 Citations
5,332 Views
20 Pages

A Study of Regular and Irregular Neutrosophic Graphs with Real Life Applications

  • Liangsong Huang,
  • Yu Hu,
  • Yuxia Li,
  • P. K. Kishore Kumar,
  • Dipak Koley and
  • Arindam Dey

17 June 2019

Fuzzy graph theory is a useful and well-known tool to model and solve many real-life optimization problems. Since real-life problems are often uncertain due to inconsistent and indeterminate information, it is very hard for an expert to model those p...

  • Article
  • Open Access
9 Citations
3,628 Views
9 Pages

17 June 2019

We use the theoretical significance of Newton’s method to draw conclusions about the existence and uniqueness of solution of a particular type of nonlinear integral equations of Fredholm. In addition, we obtain a domain of global convergence fo...

  • Article
  • Open Access
2 Citations
3,215 Views
18 Pages

16 June 2019

In the paper, we introduce some subclasses of harmonic mapping, the analytic part of which is related to general starlike (or convex) functions with a symmetric conjecture point defined by subordination. Using the conditions satisfied by the analytic...

  • Article
  • Open Access
56 Citations
5,200 Views
12 Pages

16 June 2019

Complex fuzzy set (CFS) is a recent development in the field of fuzzy set (FS) theory. The significance of CFS lies in the fact that CFS assigned membership grades from a unit circle in the complex plane, i.e., in the form of a complex number whose a...

  • Article
  • Open Access
7 Citations
3,482 Views
12 Pages

Generalized Geodesic Convexity on Riemannian Manifolds

  • Izhar Ahmad,
  • Meraj Ali Khan and
  • Amira A. Ishan

16 June 2019

We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is pr...

  • Article
  • Open Access
9 Citations
3,122 Views
15 Pages

14 June 2019

In this paper, the problems of basic fuzzy event space and of probability fuzzy space are studied. Firstly, the concepts of basic fuzzy event, fuzzy event and basic fuzzy event space are defined, related properties are investigated, and some results...

  • Article
  • Open Access
4 Citations
3,049 Views
8 Pages

14 June 2019

In this paper, we are concerned with the non-commutativity measure of quantum discord. We first present an explicit expression of the non-commutativity measure of quantum discord in the two-qubit case. Then we compare the geometric quantum discords f...

  • Feature Paper
  • Article
  • Open Access
9 Citations
4,325 Views
24 Pages

14 June 2019

In this paper Lie group method in combination with Magnus expansion is utilized to develop a universal method applicable to solving a Sturm–Liouville problem (SLP) of any order with arbitrary boundary conditions. It is shown that the method has...

  • Article
  • Open Access
22 Citations
4,076 Views
12 Pages

14 June 2019

In this paper, a new collocation method based on Haar wavelet is developed for numerical solution of Riccati type differential equations with non-integer order. The fractional derivatives are considered in the Caputo sense. The method is applied to o...

  • Article
  • Open Access
3 Citations
2,940 Views
14 Pages

13 June 2019

In this paper, we study the semilocal convergence of the multi-point variant of Jarratt method under two different mild situations. The first one is the assumption that just a second-order Fréchet derivative is bounded instead of third-order....

  • Feature Paper
  • Article
  • Open Access
17 Citations
4,800 Views
18 Pages

A Note on Estimation of Multi-Sigmoidal Gompertz Functions with Random Noise

  • Patricia Román-Román,
  • Juan José Serrano-Pérez and
  • Francisco Torres-Ruiz

13 June 2019

The behaviour of many dynamic real phenomena shows different phases, with each one following a sigmoidal type pattern. This requires studying sigmoidal curves with more than one inflection point. In this work, a diffusion process is introduced whose...

  • Article
  • Open Access
2 Citations
3,045 Views
14 Pages

12 June 2019

In this paper, a multi-parameter proximal scaled gradient algorithm with outer perturbations is presented in real Hilbert space. The strong convergence of the generated sequence is proved. The bounded perturbation resilience and the superiorized vers...

  • Article
  • Open Access
31 Citations
4,478 Views
17 Pages

12 June 2019

As a safety and reliability analysis technique, failure mode and effects analysis (FMEA) has been used extensively in several industries for the identification and elimination of known and potential failures. However, some shortcomings associated wit...

  • Article
  • Open Access
13 Citations
3,964 Views
19 Pages

12 June 2019

In this paper, we consider several new applications of the recently introduced mathematical framework of the Theory of Connections (ToC). This framework transforms constrained problems into unconstrained problems by introducing constraint-free variab...

  • Article
  • Open Access
12 Citations
3,288 Views
7 Pages

On Bilateral Contractions

  • Chi-Ming Chen,
  • Gholamreza Heidary Joonaghany,
  • Erdal Karapınar and
  • Farshid Khojasteh

12 June 2019

In this manuscript, we introduce a new type of contraction, bilateral contraction which merges two significant approaches in the fixed point theory: Caristi type contractions and Jaggi type contractions. The principal aim of the main result is to enr...

  • Feature Paper
  • Article
  • Open Access
74 Citations
8,647 Views
16 Pages

Back to Basics: Meaning of the Parameters of Fractional Order PID Controllers

  • Inés Tejado,
  • Blas M. Vinagre,
  • José Emilio Traver,
  • Javier Prieto-Arranz and
  • Cristina Nuevo-Gallardo

11 June 2019

The beauty of the proportional-integral-derivative (PID) algorithm for feedback control is its simplicity and efficiency. Those are the main reasons why PID controller is the most common form of feedback. PID combines the three natural ways of taking...

  • Article
  • Open Access
32 Citations
5,106 Views
14 Pages

11 June 2019

The Chinese tourism industry has been developing rapidly for the past several years, and the number of people traveling has been increasing year by year. However, many problems still beset current tourism management. Lack of effective management has...

  • Article
  • Open Access
50 Citations
7,168 Views
14 Pages

11 June 2019

In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method. Natural transform decompositio...

  • Article
  • Open Access
38 Citations
3,379 Views
10 Pages

11 June 2019

In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary c...

  • Article
  • Open Access
3 Citations
2,573 Views
11 Pages

10 June 2019

Throughout this paper, via the Schauder fixed-point theorem, a generalization of Krasnoselskii’s fixed-point theorem in a cone, as well as some inequalities relevant to Green’s function, we study the existence of positive solutions of a n...

  • Article
  • Open Access
2,921 Views
8 Pages

10 June 2019

In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twiste...

  • Article
  • Open Access
9 Citations
3,438 Views
19 Pages

10 June 2019

In the real-world manufacturing system, various uncertain events can occur and disrupt the normal production activities. This paper addresses the multi-objective job shop scheduling problem with random machine breakdowns. As the key of our approach,...

  • Feature Paper
  • Article
  • Open Access
10 Citations
2,564 Views
27 Pages

δ-Almost Periodic Functions and Applications to Dynamic Equations

  • Chao Wang,
  • Ravi P. Agarwal and
  • Donal O’Regan

In this paper, by employing matched spaces for time scales, we introduce a δ -almost periodic function and obtain some related properties. Also the hull equation for homogeneous dynamic equation is introduced and results of the existence a...

  • Article
  • Open Access
3,078 Views
8 Pages

We consider a control problem for a diffusive PDE model of heterogeneous population of thermostatically controlled loads (TCLs) aiming to balance the aggregate power consumption within a given amount of time. Using the Green’s function approach...

  • Article
  • Open Access
7 Citations
6,942 Views
13 Pages

An Empirical Test on Harrod’s Open Economy Dynamics

  • Giuseppe Orlando and
  • Fabio Della Rossa

This paper has the objective to empirically test Harrod’s explanations of economic dynamics addressing both growth and business cycles. In particular we test Harrod’s speculation that opening the economy to foreign trade could lead to a r...

  • Article
  • Open Access
1 Citations
2,671 Views
13 Pages

In this paper, we are concerned with the ψ-fractional integrals, which is a generalization of the well-known Riemann–Liouville fractional integrals and the Hadamard fractional integrals, and are useful in the study of various fractional...

  • Article
  • Open Access
5 Citations
2,763 Views
18 Pages

We aim to prove Poincaré inequalities for a class of pure jump Markov processes inspired by the model introduced by Galves and Löcherbach to describe the behavior of interacting brain neurons. In particular, we consider neurons with degen...

  • Article
  • Open Access
17 Citations
5,594 Views
16 Pages

Monitoring the Performance of Petrochemical Organizations in Saudi Arabia Using Data Envelopment Analysis

  • Hisham Alidrisi,
  • Mehmet Emin Aydin,
  • Abdullah Omer Bafail,
  • Reda Abdulal and
  • Shoukath Ali Karuvatt

The petrochemical industry plays a crucial role in the economy of the Kingdom of Saudi Arabia. Therefore, the effectiveness and efficiency of this industry is of high importance. Data envelopment analysis (DEA) is found to be more acceptable in measu...

  • Article
  • Open Access
27 Citations
6,368 Views
15 Pages

The faster growth of technology stipulates the rapid development of new products; with the spread of new technologies old ones are outdated and their market demand declines sharply. The combined impact of demand uncertainty and short life-cycles comp...

  • Article
  • Open Access
15 Citations
3,671 Views
13 Pages

As a powerful tool in optimization, particle swarm optimizers have been widely applied to many different optimization areas and drawn much attention. However, for large-scale optimization problems, the algorithms exhibit poor ability to pursue satisf...

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Mathematics - ISSN 2227-7390