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Mathematics, Volume 10, Issue 5

2022 March-1 - 176 articles

Cover Story: In this paper, we introduce a unified fractional derivative, defined by two parameters (order and asymmetry). From this, all the interesting derivatives can be obtained. We study the one-sided derivatives and show that most known derivatives are particular cases. We also consider some myths of fractional calculus and false fractional derivatives. The results are expected to contribute to limiting the appearance of derivatives that differ from existing ones just because they are defined on distinct domains and to prevent the ambiguous use of the concept of fractional derivatives. View this paper.
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Articles (176)

  • Article
  • Open Access
8 Citations
3,897 Views
29 Pages

7 March 2022

The stability of the economy of any country is primarily determined by the totality of macroeconomic indicators that describe the current economic state. This article provides a multi-dimensional analysis of the macroeconomic situation in Europe acco...

  • Article
  • Open Access
3,075 Views
14 Pages

7 March 2022

IoT is extensively used in many infrastructure applications, including telehealth, smart homes, smart grids, and smart cities. However, IoT has the weakest link in system security since it often has low processing and power resources. It is important...

(This article belongs to the Special Issue Mathematics Cryptography and Information Security 2021)
  • Article
  • Open Access
12 Citations
3,528 Views
15 Pages

Performance Degradation Based on Importance Change and Application in Dissimilar Redundancy Actuation System

  • Yadong Zhang,
  • Chao Zhang,
  • Shaoping Wang,
  • Rentong Chen and
  • Mileta M. Tomovic

7 March 2022

The importance measure is a crucial method to identify and evaluate the system weak link. It is widely used in the optimization design and maintenance decision of aviation, aerospace, nuclear energy and other systems. The dissimilar redundancy actuat...

(This article belongs to the Special Issue Stochastic Processes, Models and Methods in Resilience Management and Reliability Optimization)
  • Article
  • Open Access
3 Citations
4,088 Views
22 Pages

The Grey Ten-Element Analysis Method: A Novel Strategic Analysis Tool

  • Shervin Zakeri,
  • Dimitri Konstantas and
  • Naoufel Cheikhrouhou

7 March 2022

In this paper, a new strategic analysis method is introduced, called the ten-element analysis (TEA) method to determine the firm’s strategic position in the market. The new method is grounded on the computation of the reflections of the externa...

(This article belongs to the Special Issue Recent Advances in Applications of Fuzzy Logic and Soft Computing)
  • Article
  • Open Access
26 Citations
5,654 Views
21 Pages

Bio-Constrained Codes with Neural Network for Density-Based DNA Data Storage

  • Abdur Rasool,
  • Qiang Qu,
  • Yang Wang and
  • Qingshan Jiang

7 March 2022

DNA has evolved as a cutting-edge medium for digital information storage due to its extremely high density and durable preservation to accommodate the data explosion. However, the strings of DNA are prone to errors during the hybridization process. I...

(This article belongs to the Special Issue Biologically Inspired Computing)
  • Article
  • Open Access
86 Citations
9,137 Views
14 Pages

7 March 2022

Sarcasm detection plays an important role in natural language processing as it can impact the performance of many applications, including sentiment analysis, opinion mining, and stance detection. Despite substantial progress on sarcasm detection, the...

(This article belongs to the Special Issue Natural Language Processing (NLP) and Machine Learning (ML)—Theory and Applications)
  • Article
  • Open Access
8 Citations
3,293 Views
15 Pages

A Bayesian EAP-Based Nonlinear Extension of Croon and Van Veldhoven’s Model for Analyzing Data from Micro–Macro Multilevel Designs

  • Steffen Zitzmann,
  • Julian F. Lohmann,
  • Georg Krammer,
  • Christoph Helm and ,
  • Burak Aydin and
  • Martin Hecht
  • + 1 author+ 0 author

7 March 2022

Croon and van Veldhoven discussed a model for analyzing micro–macro multilevel designs in which a variable measured at the upper level is predicted by an explanatory variable that is measured at the lower level. Additionally, the authors propos...

(This article belongs to the Special Issue Bayesian Inference and Modeling with Applications)
  • Article
  • Open Access
6 Citations
3,439 Views
30 Pages

Reversible Data Hiding with a New Local Contrast Enhancement Approach

  • Eduardo Fragoso-Navarro,
  • Manuel Cedillo-Hernandez,
  • Francisco Garcia-Ugalde and
  • Robert Morelos-Zaragoza

7 March 2022

Reversible data hiding schemes hide information into a digital image and simultaneously increase its contrast. The improvements of the different approaches aim to increase the capacity, contrast, and quality of the image. However, recent proposals co...

(This article belongs to the Special Issue Computer Graphics, Image Processing and Artificial Intelligence)
  • Article
  • Open Access
22 Citations
3,942 Views
13 Pages

7 March 2022

Optimal designs of constant-stress accelerated life test plans is one of the important topics in reliability studies. Many devices produced have very high reliability under normal operating conditions. The question then arises of how to make the opti...

(This article belongs to the Special Issue Statistical Simulation and Computation II)
  • Article
  • Open Access
16 Citations
7,294 Views
21 Pages

7 March 2022

Branching patterns are ubiquitous in nature; consequently, over the years many researchers have tried to characterize the complexity of their structures. Due to their hierarchical nature and resemblance to fractal trees, they are often thought to hav...

(This article belongs to the Special Issue Advances in Fractals)
  • Article
  • Open Access
18 Citations
7,355 Views
27 Pages

Parallel Stylometric Document Embeddings with Deep Learning Based Language Models in Literary Authorship Attribution

  • Mihailo Škorić,
  • Ranka Stanković,
  • Milica Ikonić Nešić,
  • Joanna Byszuk and
  • Maciej Eder

7 March 2022

This paper explores the effectiveness of parallel stylometric document embeddings in solving the authorship attribution task by testing a novel approach on literary texts in 7 different languages, totaling in 7051 unique 10,000-token chunks from 700...

(This article belongs to the Special Issue Natural Language Processing (NLP) and Machine Learning (ML)—Theory and Applications)
  • Article
  • Open Access
4 Citations
4,117 Views
16 Pages

6 March 2022

The electrical behaviour of a system, such as an electrode–tissue interface (ETI) or a biological tissue, can be used for its characterization. One way of accomplishing this goal consists of measuring the electrical impedance, that is, the oppo...

(This article belongs to the Special Issue Advances in Artificial Intelligence and Statistical Techniques with Applications to Health and Education)
  • Article
  • Open Access
5 Citations
9,184 Views
23 Pages

An 8-Nodes 3D Hexahedral Finite Element and an 1D 2-Nodes Structural Element for Timoshenko Beams, Both Based on Hermitian Intepolation, in Linear Range

  • Nelson Andrés López Machado,
  • Juan Carlos Vielma Pérez,
  • Leonardo Jose López Machado and
  • Vanessa Viviana Montesinos Machado

6 March 2022

The following article presents the elaboration and results obtained from a 3D finite element, of the 8-node hexahedron type with 6 degrees of freedom (DOF) per node (48 DOF per element) based on third degree Hermitian polynomials, and of a 2-node str...

  • Article
  • Open Access
14 Citations
3,104 Views
16 Pages

6 March 2022

In this paper, we consider the finite-time synchronization for drive-response BAM neural networks with time-varying delays. Instead of using the finite-time stability theorem and integral inequality method, by using the maximum-value method, two new...

(This article belongs to the Topic Dynamical Systems: Theory and Applications)
  • Article
  • Open Access
1 Citations
4,102 Views
23 Pages

6 March 2022

The quantum model has been considered to be advantageous over the Markov model in explaining irrational behaviors (e.g., the disjunction effect) during decision making. Here, we reviewed and re-examined the ability of the quantum belief–action...

(This article belongs to the Special Issue Quantitative Methods for Social Sciences)
  • Article
  • Open Access
4 Citations
3,365 Views
9 Pages

5 March 2022

A localized virtual boundary element–meshless collocation method (LVBE-MCM) is proposed to solve Laplace and Helmholtz equations in complex two-dimensional (2D) geometries. “Localized” refers to employing the moving least square met...

(This article belongs to the Special Issue Computational Methods and Applications for Numerical Analysis)
  • Article
  • Open Access
3 Citations
3,719 Views
14 Pages

5 March 2022

In the present study, a multiphysics mathematical model for reproducing the flow field characteristics of an inflatable aeroshell was developed to study the aerodynamic properties of the flow around a membrane reentry vehicle. Firstly, the configurat...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
4 Citations
3,608 Views
20 Pages

5 March 2022

This work aims to identify techniques leading to a highly available request processing service by using the natural decentralization and the dispersion power of the hash function involved in a Distributed Hash Table (DHT). High availability is presen...

(This article belongs to the Special Issue Automatic Control and Soft Computing in Engineering)
  • Article
  • Open Access
16 Citations
4,572 Views
18 Pages

A Heuristic-Based Simulation for an Education Process to Learn about Optimization Applications in Logistics and Transportation

  • Majsa Ammouriova,
  • Massimo Bertolini,
  • Juliana Castaneda,
  • Angel A. Juan and
  • Mattia Neroni

5 March 2022

In the context of the DigiLab4U international project, this paper describes a simulation-based serious game that can be used as a virtual teaching lab in higher education courses, especially in Industrial and Systems Engineering, Data Science, Manage...

(This article belongs to the Special Issue Business Games and Numeric Simulations in Economics and Management)
  • Article
  • Open Access
14 Citations
5,295 Views
19 Pages

Cost-Sensitive Broad Learning System for Imbalanced Classification and Its Medical Application

  • Liang Yao,
  • Pak Kin Wong,
  • Baoliang Zhao,
  • Ziwen Wang and ,
  • Long Lei,
  • Xiaozheng Wang and
  • Ying Hu
  • + 2 authors+ 0 author

5 March 2022

As an effective and efficient discriminative learning method, the broad learning system (BLS) has received increasing attention due to its outstanding performance without large computational resources. The standard BLS is derived under the minimum me...

(This article belongs to the Special Issue Applications of Data Mining in Computer Decision Support System and Other Related Aspects)
  • Article
  • Open Access
2 Citations
2,536 Views
11 Pages

5 March 2022

The marginal Bayesian predictive classifiers (mBpc), as opposed to the simultaneous Bayesian predictive classifiers (sBpc), handle each data separately and, hence, tacitly assume the independence of the observations. Due to saturation in learning of...

(This article belongs to the Topic Machine and Deep Learning)
  • Article
  • Open Access
11 Citations
3,169 Views
20 Pages

Some (p, q)-Integral Inequalities of Hermite–Hadamard Inequalities for (p, q)-Differentiable Convex Functions

  • Waewta Luangboon,
  • Kamsing Nonlaopon,
  • Jessada Tariboon,
  • Sotiris K. Ntouyas and
  • Hüseyin Budak

4 March 2022

In this paper, we establish a new (p,q)b-integral identity involving the first-order (p,q)b-derivative. Then, we use this result to prove some new (p,q)b-integral inequalities related to Hermite–Hadamard inequalities for (p,q)b-differentiable c...

(This article belongs to the Special Issue Fractional Calculus and Mathematical Applications)
  • Article
  • Open Access
5 Citations
2,967 Views
10 Pages

4 March 2022

We analyze a set of explicit Runge–Kutta pairs of orders six and five that share no extra properties, e.g., long intervals of periodicity or vanishing phase-lag etc. This family of pairs provides five parameters from which one can freely pick....

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
2 Citations
3,886 Views
18 Pages

Fractional Growth Model with Delay for Recurrent Outbreaks Applied to COVID-19 Data

  • Fernando Alcántara-López,
  • Carlos Fuentes,
  • Carlos Chávez,
  • Jesús López-Estrada and
  • Fernando Brambila-Paz

4 March 2022

There are a great many epidemiological models that have been implemented to describe COVID-19 data; however, few attempted to reproduce the entire phenomenon due to the complexity of modeling recurrent outbreaks. In this work a fractional growth mode...

(This article belongs to the Special Issue Mathematical Methods and Models in Epidemiology)
  • Article
  • Open Access
42 Citations
5,458 Views
35 Pages

4 March 2022

Personalised computer models of cardiac function, referred to as cardiac digital twins, are envisioned to play an important role in clinical precision therapies of cardiovascular diseases. A major obstacle hampering clinical translation involves the...

(This article belongs to the Special Issue Development and Applications of Multi-Scale Mathematical Models in Cardiology)
  • Article
  • Open Access
5 Citations
3,005 Views
15 Pages

A Novel βSA Ensemble Model for Forecasting the Number of Confirmed COVID-19 Cases in the US

  • Dong-Her Shih,
  • Ting-Wei Wu,
  • Ming-Hung Shih,
  • Min-Jui Yang and
  • David C. Yen

4 March 2022

In December 2019, Severe Special Infectious Pneumonia (SARS-CoV-2)–the novel coronavirus (COVID-19)– appeared for the first time, breaking out in Wuhan, China, and the epidemic spread quickly to the world in a very short period time. Acco...

(This article belongs to the Special Issue Mathematical and Statistical Analysis of COVID-19 Impact on Global Economy, Business, and Management)
  • Article
  • Open Access
6 Citations
3,416 Views
11 Pages

4 March 2022

The sinh-Gordon equation is simply the classical wave equation with a nonlinear sinh source term. It arises in diverse scientific applications including differential geometry theory, integrable quantum field theory, fluid dynamics, kink dynamics, and...

(This article belongs to the Special Issue Advanced Methods in Computational Mathematical Physics)
  • Article
  • Open Access
2 Citations
4,047 Views
24 Pages

Reconstructing Dynamic 3D Models with Small Data by Integrating Position-Based Dynamics and PDE-Based Modelling

  • Junheng Fang,
  • Ehtzaz Chaudhry,
  • Andres Iglesias,
  • Jon Macey and ,
  • Lihua You and
  • Jianjun Zhang
  • + 1 author+ 0 author

4 March 2022

Simulation with position-based dynamics is very popular due to its high efficiency. However, it has the weaknesses of lacking details when too few vertices are involved in simulation and inefficiency when too many vertices are used for simulation. To...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
18 Citations
3,987 Views
26 Pages

4 March 2022

This study investigates, for the first time, the product of spacing estimation of the modified Kies exponential distribution parameters as well as the acceleration factor using constant-stress partially accelerated life tests under the Type-II censor...

(This article belongs to the Special Issue Probability and Statistics in Quality and Reliability Engineering)
  • Article
  • Open Access
5 Citations
3,212 Views
20 Pages

4 March 2022

We introduce a Green function and analogues of other related kernels for finite and infinite networks whose edge weights are complex-valued admittances with positive real part. We provide comparison results with the same kernels associated with corre...

(This article belongs to the Special Issue Latest Advances in Random Walks Dating Back to One Hundred Years)
  • Article
  • Open Access
6 Citations
2,573 Views
10 Pages

On Some Constrained Optimization Problems

  • Savin Treanţă,
  • Shalini Jha,
  • Muhammad Bilal Khan and
  • Tareq Saeed

4 March 2022

By using appropriate methods of variational analysis, the necessary conditions of optimality are established for new classes of constrained optimization problems involving multiple and curvilinear integral functionals. Additionally, two illustrative...

  • Article
  • Open Access
46 Citations
3,728 Views
9 Pages

4 March 2022

The stochastic (2+1)-dimensional breaking soliton equation (SBSE) is considered in this article, which is forced by the Wiener process. To attain the analytical stochastic solutions such as the polynomials, hyperbolic and trigonometric functions of t...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
18 Citations
3,699 Views
16 Pages

An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform

  • Nehad Ali Shah,
  • Ioannis Dassios,
  • Essam R. El-Zahar and
  • Jae Dong Chung

4 March 2022

In this article, the ρ-Laplace transform is paired with a new iterative method to create a new hybrid methodology known as the new iterative transform method (NITM). This method is applied to analyse fractional-order third-order dispersive partia...

(This article belongs to the Special Issue Computational, Experimental, and Theoretical Aspect of Fractional Order Operators)
  • Article
  • Open Access
1 Citations
2,465 Views
13 Pages

Low-Space Bit-Parallel Systolic Structure for AOP-Based Multiplier Suitable for Resource-Constrained IoT Edge Devices

  • Atef Ibrahim,
  • Fayez Gebali,
  • Yassine Bouteraa,
  • Usman Tariq and ,
  • Tariq Ahamad and
  • Waleed Nazih
  • + 1 author+ 0 author

4 March 2022

Security and privacy issues with IoT edge devices hinder the application of IoT technology in many applications. Applying cryptographic protocols to edge devices is the perfect solution to security issues. Implementing these protocols on edge devices...

(This article belongs to the Special Issue Codes, Designs, Cryptography and Optimization, 2nd Edition)
  • Article
  • Open Access
17 Citations
8,756 Views
13 Pages

4 March 2022

After a product has undergone a manufacturing process, it usually has several important quality characteristics. When the process quality of all quality characteristics meets the requirements of the quality level, the process quality of the product c...

(This article belongs to the Special Issue Recent Advances of Computational Statistics in Industry and Business II)
  • Article
  • Open Access
16 Citations
4,385 Views
23 Pages

3 March 2022

The performance of constrained multi-objective differential evolution algorithms (CMOEAs) is mainly determined by constraint handling techniques (CHTs) and their generation strategies. To realize the adaptive adjustment of CHTs and generation strateg...

(This article belongs to the Special Issue Biologically Inspired Computing)
  • Article
  • Open Access
1 Citations
3,062 Views
11 Pages

3 March 2022

In this paper, we consider a new kind of Kirchhoff-type equation which is stated in the introduction. Under certain assumptions on potentials, we prove by variational methods that the equation has at least a ground state solution and investigate the...

  • Article
  • Open Access
44 Citations
6,776 Views
26 Pages

Risk Evaluation: Brief Review and Innovation Model Based on Fuzzy Logic and MCDM

  • Stevan Djenadic,
  • Milos Tanasijevic,
  • Predrag Jovancic,
  • Dragan Ignjatovic and ,
  • Dejan Petrovic and
  • Ugljesa Bugaric
  • + 1 author+ 0 author

3 March 2022

The risk assessment of engineering systems represents an important part of the quality of service and dependability. The existing methods for risk evaluation use crisp sets for rating partial indicators’ proposition and their cumulative product...

  • Article
  • Open Access
5 Citations
2,303 Views
18 Pages

3 March 2022

In this paper, the stability analysis and controller design of two-dimensional (2-D) switched system with random disturbances are studied. First, based on the Fornasini–Marchesini local state space model, a random discrete 2-D switched system m...

  • Feature Paper
  • Article
  • Open Access
2 Citations
4,036 Views
15 Pages

A Combined Experimental-Numerical Investigation of the Thermal Efficiency of the Vessel in Domestic Induction Systems

  • Belén Bonet-Sánchez,
  • Iulen Cabeza-Gil,
  • Begoña Calvo,
  • Jorge Grasa and ,
  • Carlos Franco,
  • Sergio Llorente and
  • Miguel A. Martínez
  • + 2 authors+ 0 author

3 March 2022

New studies are emerging to reduce energy costs and become a more sustainable society. One of the processes where the greatest savings can be made is in cooking, due to its large-scale global use. In this vein, this study aims to analyse the influenc...

(This article belongs to the Topic Numerical Methods and Computer Simulations in Energy Analysis)
  • Article
  • Open Access
2 Citations
3,832 Views
24 Pages

3 March 2022

The analysis of user-generated content on the Internet has become increasingly popular for a wide variety of applications. One particular type of content is represented by the user reviews for programs, multimedia, products, and so on. Investigating...

(This article belongs to the Special Issue Natural Language Processing (NLP) and Machine Learning (ML)—Theory and Applications)
  • Article
  • Open Access
7 Citations
2,820 Views
17 Pages

Peristaltic Transport of Carreau Nanofluid in Presence of Triple Diffusion in an Asymmetric Channel by Multi-Step Differential Transformation Method

  • Asha S. Kotnurkar,
  • Joonabi Beleri,
  • Irfan Anjum Badruddin,
  • Sarfaraz Kamangar and
  • Nandalur Ameer Ahammad

3 March 2022

The present work investigates the influence of triple diffusion on Carreau nanoliquid in peristaltic flow through an asymmetric channel. By using appropriate non-dimensional parameters, governing equations are transformed to conventional non-linear p...

(This article belongs to the Special Issue Mathematical Problems in Mechanical Engineering)
  • Article
  • Open Access
3 Citations
2,611 Views
13 Pages

3 March 2022

This paper introduces a new variant of the Shortest Path Problem (SPP) called the Cost-Balanced Path Problem (CBPP). Various real problems can either be modeled as BCPP or include BCPP as a sub-problem. We prove several properties related to the comp...

(This article belongs to the Special Issue Mathematical Optimization and Evolutionary Algorithms with Applications)
  • Article
  • Open Access
3 Citations
2,905 Views
24 Pages

3 March 2022

The paper introduces a new approach to enhance optimization algorithms when solving the piecewise linearization problem of a given function. Eight swarm intelligence algorithms were selected to be experimentally compared. The problem is represented b...

(This article belongs to the Special Issue Recent Advances in Swarm Intelligence Algorithms and Their Applications)
  • Article
  • Open Access
14 Citations
3,387 Views
17 Pages

3 March 2022

Functional brain connectivity networks obtained from resting-state functional magnetic resonance imaging (rs-fMRI) have been extensively utilized for the diagnosis of Alzheimer’s disease (AD). However, the traditional correlation analysis techn...

(This article belongs to the Special Issue Advances in Mathematical Methods, Machine Learning and Deep Learning Based Applications)
  • Article
  • Open Access
1,849 Views
8 Pages

3 March 2022

Since the replicated core counters the (inferior) converse reduction axiom under multi-choice non-transferable-utility (NTU) situations, two converse reduction axiomatic enlargements of the replicated core are generated. These two enlargements are th...

  • Article
  • Open Access
4 Citations
3,135 Views
15 Pages

Machining Parameters Optimization Based on Objective Function Linearization

  • Cristina Gavrus,
  • Nicolae-Valentin Ivan and
  • Gheorghe Oancea

3 March 2022

Manufacturing process optimization is an ever-actual goal. Within this goal, machining parameters optimization is a very important task. Machining parameters strongly influence the manufacturing costs, process productivity and piece quality. Literatu...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
15 Citations
7,572 Views
24 Pages

2 March 2022

Nature-inspired metaheuristic algorithms remain a strong trend in optimization. Human-inspired optimization algorithms should be more intuitive and relatable. This paper proposes a novel optimization algorithm inspired by a human search party. We hyp...

(This article belongs to the Special Issue Biologically Inspired Computing)
  • Article
  • Open Access
7 Citations
3,030 Views
13 Pages

2 March 2022

Cancer drivers play an important role in regulating cell growth, cell cycles, and DNA replication. Identifying these cancer drivers provides cancer researchers with indispensable knowledge that has important implications for clinical decision making....

(This article belongs to the Special Issue Complex Network Modeling: Theory and Applications)
  • Article
  • Open Access
19 Citations
7,926 Views
29 Pages

2 March 2022

Information and Communication Technologies (ICTs) have become a key factor in the educational context, especially in the aftermath of the COVID-19 pandemic, and, correctly implemented, can help to improve academic performance. The aim of this researc...

(This article belongs to the Special Issue Economics of Education: Quantitative Methods for Educational Policies)

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Mathematics - ISSN 2227-7390