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Mathematics, Volume 9, Issue 21

2021 November-1 - 198 articles

Cover Story: Chenkuan Li, Rekha Srivastava and Kyle Gardiner study the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space based on Babenko’s approach, Leray-Schauder’s nonlinear alternative, and the multivariate Mittag-Leffler function. They derive some notable results and demonstrate the application of the main theorem. View this paper
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Articles (198)

  • Article
  • Open Access
3 Citations
3,073 Views
19 Pages

3 November 2021

An illustrative sketch style expresses important shapes and regions of objects and scenes with salient lines and dark tones, while abstracting less important shapes and regions as vacant spaces. We present a framework that produces illustrative sketc...

(This article belongs to the Topic Machine and Deep Learning)
  • Review
  • Open Access
12 Citations
4,587 Views
22 Pages

Bibliometrics of Machine Learning Research Using Homomorphic Encryption

  • Zhigang Chen,
  • Gang Hu,
  • Mengce Zheng,
  • Xinxia Song and
  • Liqun Chen

3 November 2021

Since the first fully homomorphic encryption scheme was published in 2009, many papers have been published on fully homomorphic encryption and its applications. Machine learning is one of the most interesting applications and has drawn a lot of atten...

  • Article
  • Open Access
5 Citations
2,550 Views
13 Pages

2 November 2021

In this paper, we focus on the asymptotic and transient dynamics of the studied ecosystem and measure the response to perturbation of the stochastic ratio-dependent predator–prey model. The method we use is mainly based on the Kronecker product and n...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
5 Citations
3,540 Views
18 Pages

2 November 2021

The spontaneous symmetry breaking phenomena applied to Quantum Finance considers that the martingale state in the stock market corresponds to a ground (vacuum) state if we express the financial equations in the Hamiltonian form. The original analysis...

(This article belongs to the Special Issue Advanced Methods in the Mathematical Modeling of Financial Markets)
  • Article
  • Open Access
3 Citations
3,622 Views
13 Pages

2 November 2021

This paper focuses on a numerical approach to finding the p–y curves for laterally loaded piles. The Drucker–Prager plastic model is employed and implemented within a finite element MATLAB code. The pre- and post-processing code for Gmsh and related...

(This article belongs to the Special Issue Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics)
  • Article
  • Open Access
8,096 Views
18 Pages

2 November 2021

Diophantine equations ∏i=1nxi=F∑i=1nxi with xi,F∈ℤ+ associate the products and sums of n natural numbers. Only special cases have been studied so far. Here, we provide new parametric solutions depending on F and the divisors of F or F2. One of these...

  • Article
  • Open Access
13 Citations
2,755 Views
25 Pages

2 November 2021

Chaos systems have been widely used in image encryption algorithms. In this article, we introduce an LB (Logistic-Baker) compound chaotic map that can greatly improve the complexity of original Logistic map and Baker map, as well as the generated seq...

(This article belongs to the Special Issue Nonlinear Dynamics and Chaos Theory)
  • Article
  • Open Access
11 Citations
4,533 Views
40 Pages

A Map of the Poor or a Poor Map?

  • Paul Corral,
  • Kristen Himelein,
  • Kevin McGee and
  • Isabel Molina

2 November 2021

This paper evaluates the performance of different small area estimation methods using model and design-based simulation experiments. Design-based simulation experiments are carried out using the Mexican Intra Censal survey as a census of roughly 3.9...

(This article belongs to the Special Issue Methods and Applications of Statistics in the Social and Health Sciences)
  • Article
  • Open Access
10 Citations
2,470 Views
14 Pages

Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative

  • Abdelhameed M. Nagy,
  • Abdellatif Ben Makhlouf,
  • Abdulaziz Alsenafi and
  • Fares Alazemi

2 November 2021

The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and o...

  • Article
  • Open Access
9 Citations
2,364 Views
11 Pages

2 November 2021

In this work, the thermo-diffusions interaction in an unbounded material with spherical cavities in the context dual phase lag model is investigated. The finite element technique has been used to solve the problem. The bounding surface of the inner h...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
6 Citations
5,948 Views
29 Pages

Sensitivity to Context in Human Interactions

  • Oliver Waddup,
  • Pawel Blasiak,
  • James M. Yearsley,
  • Bartosz W. Wojciechowski and
  • Emmanuel M. Pothos

2 November 2021

Considering two agents responding to two (binary) questions each, we define sensitivity to context as a state of affairs such that responses to a question depend on the other agent’s questions, with the implication that it is not possible to represen...

(This article belongs to the Special Issue Mathematical and Computational Models of Cognition)
  • Article
  • Open Access
22 Citations
4,827 Views
21 Pages

A New Quantile Regression Model and Its Diagnostic Analytics for a Weibull Distributed Response with Applications

  • Luis Sánchez,
  • Víctor Leiva,
  • Helton Saulo,
  • Carolina Marchant and
  • José M. Sarabia

1 November 2021

Standard regression models focus on the mean response based on covariates. Quantile regression describes the quantile for a response conditioned to values of covariates. The relevance of quantile regression is even greater when the response follows a...

(This article belongs to the Special Issue Statistical Simulation and Computation II)
  • Feature Paper
  • Article
  • Open Access
20 Citations
4,026 Views
20 Pages

Quantifying the Robustness of Complex Networks with Heterogeneous Nodes

  • Prasan Ratnayake,
  • Sugandima Weragoda,
  • Janaka Wansapura,
  • Dharshana Kasthurirathna and
  • Mahendra Piraveenan

1 November 2021

The robustness of a complex network measures its ability to withstand random or targeted attacks. Most network robustness measures operate under the assumption that the nodes in a network are homogeneous and abstract. However, most real-world network...

(This article belongs to the Special Issue Structure and Dynamics of Complex Networks)
  • Article
  • Open Access
66 Citations
3,854 Views
14 Pages

An Efficient Chameleon Swarm Algorithm for Economic Load Dispatch Problem

  • Mokhtar Said,
  • Ali M. El-Rifaie,
  • Mohamed A. Tolba,
  • Essam H. Houssein and
  • Sanchari Deb

1 November 2021

Economic Load Dispatch (ELD) is a complicated and demanding problem for power engineers. ELD relates to the minimization of the economic cost of production, thereby allocating the produced power by each unit in the most possible economic manner. In r...

(This article belongs to the Topic Power System Modeling and Control)
  • Article
  • Open Access
21 Citations
2,635 Views
21 Pages

A Mathematical Approach to Simultaneously Plan Generation and Transmission Expansion Based on Fault Current Limiters and Reliability Constraints

  • Mohamed M. Refaat,
  • Shady H. E. Abdel Aleem,
  • Yousry Atia,
  • Ziad M. Ali and ,
  • Adel El-Shahat and
  • Mahmoud M. Sayed
  • + 1 author+ 0 author

1 November 2021

Today, generation and transmission expansion planning (G&TEP) to meet potential load growth is restricted by reliability constraints and the presence of uncertainties. This study proposes the reliability constrained planning method for integrated...

  • Article
  • Open Access
10 Citations
3,483 Views
15 Pages

1 November 2021

While researchers and practitioners may seamlessly develop methods of detecting outliers in control charts under a univariate setup, detecting and screening outliers in multivariate control charts pose serious challenges. In this study, we propose a...

(This article belongs to the Special Issue Probability and Statistics in Quality and Reliability Engineering)
  • Article
  • Open Access
5 Citations
3,696 Views
20 Pages

Currency Hedging Strategies Using Histogram-Valued Data: Bivariate Markov Switching GARCH Models

  • Paravee Maneejuk,
  • Nootchanat Pirabun,
  • Suphawit Singjai and
  • Woraphon Yamaka

1 November 2021

Previous studies aimed at determining hedging strategies commonly used daily closing spot and futures prices for the analysis and strategy building. However, the daily closing price might not be the appropriate for price in some or all trading days....

(This article belongs to the Special Issue Markov-Chain Modelling and Applications)
  • Article
  • Open Access
8 Citations
2,654 Views
12 Pages

Perturbation Theory for Property (VE) and Tensor Product

  • Elvis Aponte,
  • José Sanabria and
  • Luis Vásquez

1 November 2021

Given a complex Banach space X, we investigate the stable character of the property (VE) for a bounded linear operator T:X→X, under commuting perturbations that are Riesz, compact, algebraic and hereditarily polaroid. We also analyze sufficient condi...

  • Article
  • Open Access
7 Citations
5,779 Views
20 Pages

31 October 2021

NP-complete problems in graphs, such as enumeration and the selection of subgraphs with given characteristics, become especially relevant for large graphs and networks. Herein, particular statements with constraints are proposed to solve such problem...

(This article belongs to the Special Issue New Trends in Graph and Complexity Based Data Analysis and Processing)
  • Article
  • Open Access
1 Citations
1,806 Views
10 Pages

31 October 2021

In this paper, we study the nonexistence of global weak solutions to higher-order time-fractional evolution inequalities with subcritical degeneracy. Using the test function method and some integral estimates, we establish sufficient conditions depen...

(This article belongs to the Special Issue Functional Inequalities and Equations)
  • Article
  • Open Access
2 Citations
2,656 Views
18 Pages

31 October 2021

In this paper, we study the problem of optimal routing for the pair of two-server heterogeneous queues operating in parallel and subsequent optimal allocation of customers between the servers in each queue. Heterogeneity implies different servers in...

(This article belongs to the Special Issue Stochastic Modeling and Applied Probability)
  • Obituary
  • Open Access
2,286 Views
1 Page

In Memory of Prof. Dr. Maria Santos Bruzón Gallego

  • Maria Luz Gandarias,
  • Mariano Torrisi and
  • Rita Tracinà

31 October 2021

It is with great sadness that we write this memoriam for our beloved friend and colleague Maria de los Santos Bruzón who was an editor of this Special Issue [...]

(This article belongs to the Special Issue Symmetry Methods and Applications for Nonlinear Partial Differential Equations)
  • Article
  • Open Access
57 Citations
3,832 Views
29 Pages

A New Extended Cosine—G Distributions for Lifetime Studies

  • Mustapha Muhammad,
  • Rashad A. R. Bantan,
  • Lixia Liu,
  • Christophe Chesneau and ,
  • Muhammad H. Tahir,
  • Farrukh Jamal and
  • Mohammed Elgarhy
  • + 2 authors+ 0 author

30 October 2021

In this article, we introduce a new extended cosine family of distributions. Some important mathematical and statistical properties are studied, including asymptotic results, a quantile function, series representation of the cumulative distribution a...

(This article belongs to the Special Issue Probability, Statistics and Their Applications 2021)
  • Article
  • Open Access
6 Citations
4,349 Views
23 Pages

Attracting the Right Crowd under Asymmetric Information: A Game Theory Application to Rewards-Based Crowdfunding

  • Francisca Jiménez-Jiménez,
  • Maria Virtudes Alba-Fernández and
  • Cristina Martínez-Gómez

30 October 2021

In this paper, we investigate rewards-based crowdfunding as an innovative financing form for startups and firms. Based on game-theory models under asymmetric information, we test research hypotheses about the positive effects of two main campaign fea...

(This article belongs to the Special Issue Information in Economics, Finance and Insurance: Modelling and Applications)
  • Article
  • Open Access
15 Citations
2,879 Views
16 Pages

30 October 2021

This work is devoted to providing new kinds of deterministic and stochastic solutions of one of the famous nonlinear equations that depends on time, called the Schrödinger–Hirota equation. A new and straightforward methodology is offered to extract e...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
13 Citations
3,902 Views
31 Pages

Optimization of the Collaborative Hub Location Problem with Metaheuristics

  • Mohamed Amine Gargouri,
  • Nadia Hamani,
  • Nassim Mrabti and
  • Lyes Kermad

30 October 2021

By creating new job opportunities and developing the regional economy, the transport of goods generates significant costs, environmental and sanitary nuisances, and high greenhouse gas (GHG) emissions. In this context, collaboration is an interesting...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
5 Citations
2,322 Views
11 Pages

Fuzzy Evaluation Model of Bank APP Performance Based on Circular Economy Thinking

  • Tian Chen,
  • Chun-Ming Yang,
  • Kuen-Suan Chen and
  • Ting-Hsin Hsu

30 October 2021

As the environment of the Internet of Things (IoT) gradually becomes common and mature, various smart application (APP) platforms have sprung up, making what we are doing more convenient, more economical and more efficient. Then, this paper used a ba...

(This article belongs to the Special Issue Fuzzy Applications in Industrial Engineering)
  • Article
  • Open Access
1 Citations
2,291 Views
24 Pages

30 October 2021

In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a...

(This article belongs to the Topic Analysis and Controls of Time-Delay Systems with Perturbations: Theory and Application)
  • Article
  • Open Access
7 Citations
2,683 Views
16 Pages

29 October 2021

This paper proposes a robust tracking control method for swing-up and stabilization of a rotational inverted pendulum system by applying equivalent input disturbance (EID) rejection. The mathematical model of the system was developed by using a Lagra...

  • Article
  • Open Access
1 Citations
2,799 Views
16 Pages

Computational Study on the Dynamics of a Consumer-Resource Model: The Influence of the Growth Law in the Resource

  • Luis M. Abia,
  • Óscar Angulo,
  • Juan Carlos López-Marcos and
  • Miguel Ángel López-Marcos

29 October 2021

The dynamics of a specific consumer-resource model for Daphnia magna is studied from a numerical point of view. In this study, Malthusian, chemostatic, and Gompertz growth laws for the evolution of the resource population are considered, and the resu...

(This article belongs to the Special Issue Advances in Differential Dynamical Systems with Applications to Economics and Biology)
  • Article
  • Open Access
6 Citations
3,431 Views
21 Pages

An Algebraic Approach for Identification of Rotordynamic Parameters in Bearings with Linearized Force Coefficients

  • José Gabriel Mendoza-Larios,
  • Eduardo Barredo,
  • Manuel Arias-Montiel,
  • Luis Alberto Baltazar-Tadeo and ,
  • Saulo Jesús Landa-Damas,
  • Ricardo Tapia-Herrera and
  • Jorge Colín-Ocampo
  • + 2 authors+ 0 author

29 October 2021

In this work, a novel methodology for the identification of stiffness and damping rotordynamic coefficients in a rotor-bearing system is proposed. The mathematical model for the identification process is based on the algebraic identification techniqu...

(This article belongs to the Special Issue Advances and Trends in Mathematical Modelling, Control and Identification of Vibrating Systems)
  • Article
  • Open Access
2 Citations
2,480 Views
18 Pages

Some New Results on Bicomplex Bernstein Polynomials

  • Carlo Cattani,
  • Çíğdem Atakut,
  • Özge Özalp Güller and
  • Seda Karateke

29 October 2021

The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact C2-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furtherm...

(This article belongs to the Special Issue Orthogonal Polynomials and Special Functions)
  • Article
  • Open Access
3 Citations
3,218 Views
24 Pages

Möbius Transformation-Induced Distributions Provide Better Modelling for Protein Architecture

  • Mohammad Arashi,
  • Najmeh Nakhaei Rad,
  • Andriette Bekker and
  • Wolf-Dieter Schubert

29 October 2021

Proteins are found in all living organisms and constitute a large group of macromolecules with many functions. Proteins achieve their operations by adopting distinct three-dimensional structures encoded within the sequence of the constituent amino ac...

(This article belongs to the Special Issue Advances in Mathematics and Statistics with Applications in Engineering and Industry)
  • Article
  • Open Access
5 Citations
4,972 Views
18 Pages

Web-Based Tool for Algebraic Modeling and Mathematical Optimization

  • Vaidas Jusevičius and
  • Remigijus Paulavičius

29 October 2021

In this article, we present a new open-source tool for algebraic modeling and mathematical optimization. We begin by distilling the main gaps within the existing algebraic modeling languages and tools (varying performance, limited cross-compatibility...

  • Article
  • Open Access
13 Citations
4,000 Views
18 Pages

Vehicle Routing Problem with Deadline and Stochastic Service Times: Case of the Ice Cream Industry in Santiago City of Chile

  • Sebastián Dávila,
  • Miguel Alfaro,
  • Guillermo Fuertes,
  • Manuel Vargas and
  • Mauricio Camargo

29 October 2021

The research evaluates the vehicular routing problem for distributing refrigerated products. The mathematical model corresponds to the vehicle routing problem with hard time windows and a stochastic service time (VRPTW-ST) model applied in Santiago d...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
22 Citations
3,841 Views
23 Pages

29 October 2021

A general control system tracking learning framework is proposed, by which an optimal learned tracking behavior called ‘primitive’ is extrapolated to new unseen trajectories without requiring relearning. This is considered intelligent behavior and st...

(This article belongs to the Special Issue Mathematical Methods for Nonlinear Control)
  • Article
  • Open Access
11 Citations
3,367 Views
16 Pages

29 October 2021

We study a phenomenon causing server time loss in ticket queues with balking and calling time. A customer who balks from the queue after printing a ticket leaves a virtual entity in the queue that requires server time to be cleared. The longer the qu...

  • Article
  • Open Access
2 Citations
2,358 Views
18 Pages

29 October 2021

The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers weak Morrey spaces as well. The result in the present paper completes th...

(This article belongs to the Special Issue Recent Developments of Function Spaces and Their Applications I)
  • Article
  • Open Access
5 Citations
2,630 Views
17 Pages

Differential Evolution Based Algorithm for Optimal Current Ripple Cancelation in an Unequal Interleaved Power Converter

  • Julio C. Rosas-Caro,
  • Pedro M. García-Vite,
  • Alma Rodríguez,
  • Abraham Mendoza and ,
  • Avelina Alejo-Reyes,
  • Erik Cuevas and
  • Francisco Beltran-Carbajal
  • + 2 authors+ 0 author

29 October 2021

This paper proposes an optimal methodology based on the Differential Evolution algorithm for obtaining the set of duty cycles of a recently proposed power electronics converter with input current ripple cancelation capability. The converter understud...

(This article belongs to the Special Issue Advanced Modeling, Control, and Optimization Methods in Power Hybrid Systems - 2021)
  • Article
  • Open Access
9 Citations
3,106 Views
12 Pages

Sixth Order Numerov-Type Methods with Coefficients Trained to Perform Best on Problems with Oscillating Solutions

  • Vladislav N. Kovalnogov,
  • Ruslan V. Fedorov,
  • Tamara V. Karpukhina,
  • Theodore E. Simos and
  • Charalampos Tsitouras

29 October 2021

Numerov-type methods using four stages per step and sharing sixth algebraic order are considered. The coefficients of such methods are depended on two free parameters. For addressing problems with oscillatory solutions, we traditionally try to satisf...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
1 Citations
5,131 Views
20 Pages

28 October 2021

This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis, and the global operator theoretic Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov exponent f...

(This article belongs to the Special Issue Dynamical Systems and Operator Theory)
  • Article
  • Open Access
13 Citations
3,509 Views
23 Pages

A Fast-Tracking Hybrid MPPT Based on Surface-Based Polynomial Fitting and P&O Methods for Solar PV under Partial Shaded Conditions

  • Catalina González-Castaño,
  • Carlos Restrepo,
  • Javier Revelo-Fuelagán,
  • Leandro L. Lorente-Leyva and
  • Diego H. Peluffo-Ordóñez

28 October 2021

The efficiency of photovoltaic (PV) systems depends directly on solar irradiation, so drastic variations in solar exposure will undoubtedly move its maximum power point (MPP). Furthermore, the presence of partial shading conditions (PSCs) generates l...

(This article belongs to the Special Issue Advanced Modeling, Control, and Optimization Methods in Power Hybrid Systems - 2021)
  • Article
  • Open Access
1 Citations
2,190 Views
10 Pages

28 October 2021

In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space. The result derived is new and based upon Babenko’s approach, Leray-Schauder’s...

(This article belongs to the Special Issue Higher Transcendental Functions and Their Multi-Disciplinary Applications)
  • Article
  • Open Access
7 Citations
2,276 Views
13 Pages

One Cut-Point Phase-Type Distributions in Reliability. An Application to Resistive Random Access Memories

  • Christian Acal,
  • Juan E. Ruiz-Castro,
  • David Maldonado and
  • Juan B. Roldán

28 October 2021

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative semi-line of a p...

(This article belongs to the Special Issue Advances in Reliability Modeling, Optimization and Applications)
  • Article
  • Open Access
4 Citations
3,197 Views
15 Pages

28 October 2021

In this paper, we develop an economic order quantity (EOQ) model for fixed shelf-life items and a non-increasing demand. The objective of this model is to maximize the total profit. We find the criterion to decide (i) the interior maximum solution or...

  • Article
  • Open Access
2 Citations
3,662 Views
19 Pages

Cross-Hedging Portfolios in Emerging Stock Markets: Evidence for the LATIBEX Index

  • Pablo Urtubia,
  • Alfonso Novales and
  • Andrés Mora-Valencia

28 October 2021

We consider alternative possibilities for hedging spot positions on the FTSE LATIBEX Index, the index of the only international market exclusively for Latin American firms that is denominated by the euro. Since there is not a futures market on the in...

(This article belongs to the Special Issue Mathematical Financial Econometrics: Non-normal Distributions and Risk Forecasting)
  • Article
  • Open Access
3 Citations
1,937 Views
12 Pages

28 October 2021

Segal introduce the Fourier–Wiener transform for the class of polynomial cylinder functions on Hilbert space, and Hida then develop this concept. Negrin define the extended Wiener transform with Hayker et al. In recent papers, Hayker et al. establish...

(This article belongs to the Special Issue Special Functions with Applications to Mathematical Physics)
  • Article
  • Open Access
1 Citations
1,942 Views
26 Pages

28 October 2021

Zadeh’s extension principle is one of the elementary tools in fuzzy set theory, and among other things, it provides a natural extension of a real-valued continuous self-map to a self-map having fuzzy sets as its arguments. The purpose of this paper i...

(This article belongs to the Special Issue Computing Mathematics with Fuzzy Sets)

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Mathematics - ISSN 2227-7390