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Mathematics, Volume 9, Issue 10

2021 May-2 - 85 articles

Cover Story: Splitting methods arise by splitting the vector field into two simpler parts that can be integrated, either exactly or very precisely. High order methods are obtained by composing several steps of these flows with suitable coefficients. In this work, we improve their efficiency when they are used as temporal integrators of spatial discretizations of initial boundary value problems. View this paper.
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Articles (85)

  • Article
  • Open Access
1 Citations
2,139 Views
13 Pages

20 May 2021

In this paper, we investigate a class of Schrödinger–Poisson systems with critical growth. By the principle of concentration compactness and variational methods, we prove that the system has radially symmetric solutions, which improve the related res...

  • Article
  • Open Access
2,892 Views
11 Pages

Fractional Line Integral

  • Gabriel Bengochea and
  • Manuel Ortigueira

20 May 2021

This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calcul...

(This article belongs to the Special Issue Fractional Calculus and Nonlinear Systems)
  • Article
  • Open Access
6 Citations
2,777 Views
17 Pages

Inequalities on the Generalized ABC Index

  • Paul Bosch,
  • Edil D. Molina,
  • José M. Rodríguez and
  • José M. Sigarreta

20 May 2021

In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić index. Some of these inequalities for ABCα improved, when α=1/2, known results on the ABC index. Moreover, in order to obtain our resu...

(This article belongs to the Special Issue Advances in Discrete Applied Mathematics and Graph Theory)
  • Article
  • Open Access
3 Citations
3,763 Views
20 Pages

20 May 2021

We consider the model of Antonacci, Costantini, D’Ippoliti, Papi (arXiv:2010.05462 [q-fin.MF], 2020), which describes the joint evolution of inflation, the central bank interest rate, and the short-term interest rate. In the case when the diffusion c...

(This article belongs to the Special Issue Stochastic Optimization Methods in Economics, Finance and Insurance)
  • Article
  • Open Access
35 Citations
3,080 Views
24 Pages

20 May 2021

In the present study, a novel configuration of a rotating tube bundle was simulated under non-isothermal hydrodynamic conditions using a mixture model. Eight fins were considered in this study, which targeted the hydrodynamics of the system. An aqueo...

(This article belongs to the Special Issue Modeling and Numerical Analysis of Energy and Environment 2021)
  • Article
  • Open Access
5 Citations
4,440 Views
25 Pages

20 May 2021

In this paper, under the framework of Extended Chebyshev space, four new generalized quasi cubic trigonometric Bernstein basis functions with two shape functions α(t) and β(t) are constructed in a generalized quasi cubic trigonometric space span{1,si...

(This article belongs to the Special Issue Computer Aided Geometric Design)
  • Article
  • Open Access
8 Citations
2,717 Views
8 Pages

Generalization of Quantum Ostrowski-Type Integral Inequalities

  • Muhammad Aamir Ali,
  • Sotiris K. Ntouyas and
  • Jessada Tariboon

20 May 2021

In this paper, we prove some new Ostrowski-type integral inequalities for q-differentiable bounded functions. It is also shown that the results presented in this paper are a generalization of know results in the literarure. Applications to special me...

(This article belongs to the Special Issue Recent Advances in Differential Equations and Applications)
  • Article
  • Open Access
13 Citations
4,175 Views
29 Pages

Profitability Index Maximization in an Inventory Model with a Price- and Stock-Dependent Demand Rate in a Power-Form

  • Valentín Pando,
  • Luis A. San-José,
  • Joaquín Sicilia and
  • David Alcaide-López-de-Pablo

20 May 2021

This paper presents the optimal policy for an inventory model where the demand rate potentially depends on both selling price and stock level. The goal is the maximization of the profitability index, defined as the ratio income/expense. A numerical a...

(This article belongs to the Special Issue Mathematical Models and Exact and Heuristic Algorithms for Solving Complex Optimization Problems)
  • Article
  • Open Access
9 Citations
3,475 Views
14 Pages

20 May 2021

Two generalized mathematical models with memory for the concentration of tumor cells have been analytically studied using the cylindrical coordinate and the integral transform methods. The generalization consists of the formulating of two mathematica...

(This article belongs to the Special Issue Fractional Differential Equations and Control Problems)
  • Article
  • Open Access
5 Citations
2,438 Views
23 Pages

19 May 2021

A nonlinear-observer-based design methodology is proposed for an adaptive event-driven output-feedback tracking problem with guaranteed performance of uncertain underactuated underwater vehicles (UUVs) in six-degrees-of-freedom (6-DOF). A nonlinear o...

  • Review
  • Open Access
5 Citations
4,255 Views
13 Pages

The FMM Approach to Analyze Biomedical Signals: Theory, Software, Applications and Future

  • Cristina Rueda,
  • Itziar Fernández,
  • Yolanda Larriba and
  • Alejandro Rodríguez-Collado

19 May 2021

Oscillatory systems arise in the different biological and medical fields. Mathematical and statistical approaches are fundamental to deal with these processes. The Frequency Modulated Mobiüs approach (FMM), reviewed in this paper, is one of these app...

(This article belongs to the Special Issue Models and Methods in Bioinformatics: Theory and Applications)
  • Article
  • Open Access
10 Citations
2,949 Views
12 Pages

19 May 2021

Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem. More generally, for the properties that chara...

  • Article
  • Open Access
6 Citations
3,008 Views
25 Pages

19 May 2021

In this paper, we discuss the demand side management (DSM) problem: how to incentivize a consumer to equalize the load during the day through price-dependent demand. Traditionally, the retail market offers several electricity payment schemes. A schem...

(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems)
  • Article
  • Open Access
12 Citations
8,522 Views
38 Pages

Current Trends in Random Walks on Random Lattices

  • Jewgeni H. Dshalalow and
  • Ryan T. White

19 May 2021

In a classical random walk model, a walker moves through a deterministic d-dimensional integer lattice in one step at a time, without drifting in any direction. In a more advanced setting, a walker randomly moves over a randomly configured (non equid...

(This article belongs to the Special Issue Latest Advances in Random Walks Dating Back to One Hundred Years)
  • Article
  • Open Access
1 Citations
2,548 Views
19 Pages

18 May 2021

Motivated by the relative loss estimator of the median, we propose a new class of estimators for linear quantile models using a general relative loss function defined by the Box–Cox transformation function. The proposed method is very flexible. It in...

(This article belongs to the Special Issue Advances in Mathematics and Statistics with Applications in Engineering and Industry)
  • Article
  • Open Access
5 Citations
2,939 Views
17 Pages

Reliability Properties of the NDL Family of Discrete Distributions with Its Inference

  • Mohammed Mohammed Ahmed Almazah,
  • Badr Alnssyan,
  • Abdul Hadi N. Ahmed and
  • Ahmed Z. Afify

18 May 2021

The natural discrete Lindley (NDL) distribution is an intuitive idea that uses discrete analogs to well-known continuous distributions rather than using any of the published discretization techniques. The NDL is a flexible extension of both the geome...

(This article belongs to the Special Issue Probability, Statistics and Their Applications 2021)
  • Article
  • Open Access
7 Citations
3,058 Views
27 Pages

An Adaptive Cuckoo Search-Based Optimization Model for Addressing Cyber-Physical Security Problems

  • Mohamed Abdel-Basset,
  • Reda Mohamed,
  • Nazeeruddin Mohammad,
  • Karam Sallam and
  • Nour Moustafa

18 May 2021

One of the key challenges in cyber-physical systems (CPS) is the dynamic fitting of data sources under multivariate or mixture distribution models to determine abnormalities. Equations of the models have been statistically characterized as nonlinear...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
10 Citations
3,571 Views
22 Pages

18 May 2021

Nonparametric regression becomes a potential solution if the parametric regression assumption is too restrictive while the regression curve is assumed to be known. In multivariable nonparametric regression, the pattern of each predictor variable’s re...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
36 Citations
4,014 Views
19 Pages

Applied Machine Learning Algorithms for Courtyards Thermal Patterns Accurate Prediction

  • Eduardo Diz-Mellado,
  • Samuele Rubino,
  • Soledad Fernández-García,
  • Macarena Gómez-Mármol,
  • Carlos Rivera-Gómez and
  • Carmen Galán-Marín

18 May 2021

Currently, there is a lack of accurate simulation tools for the thermal performance modeling of courtyards due to their intricate thermodynamics. Machine Learning (ML) models have previously been used to predict and evaluate the structural performanc...

(This article belongs to the Special Issue Mathematical Methods, Modelling and Applications)
  • Article
  • Open Access
3 Citations
3,717 Views
29 Pages

18 May 2021

We present and prove a triple sum series formula for the European call option price in a market model where the underlying asset price is driven by a Variance Gamma process. In order to obtain this formula, we present some concepts and properties of...

(This article belongs to the Special Issue Recent Advances on Nonlinear Models in Mathematical Finance)
  • Article
  • Open Access
2 Citations
3,201 Views
7 Pages

17 May 2021

In this paper, we analyze the C smooth curve of constant width using the characteristic equation of a time delay system. We prove that a closed convex curve must be a circle if it is still a smooth curve of constant width after taking any number of...

(This article belongs to the Special Issue Differential Geometry of Spaces with Special Structures)
  • Article
  • Open Access
6 Citations
3,345 Views
12 Pages

Image Denoising Using Adaptive and Overlapped Average Filtering and Mixed-Pooling Attention Refinement Networks

  • Ming-Hao Lin,
  • Zhi-Xiang Hou,
  • Kai-Han Cheng,
  • Chin-Hsien Wu and
  • Yan-Tsung Peng

17 May 2021

Cameras are essential parts of portable devices, such as smartphones and tablets. Most people have a smartphone and can take pictures anywhere and anytime to record their lives. However, these pictures captured by cameras may suffer from noise contam...

(This article belongs to the Special Issue Artificial Intelligence and Big Data Computing)
  • Article
  • Open Access
2 Citations
3,615 Views
21 Pages

Modeling COVID-19 with Uncertainty in Granada, Spain. Intra-Hospitalary Circuit and Expectations over the Next Months

  • José M. Garrido,
  • David Martínez-Rodríguez,
  • Fernando Rodríguez-Serrano,
  • Sorina-M. Sferle and
  • Rafael-J. Villanueva

17 May 2021

Mathematical models have been remarkable tools for knowing in advance the appropriate time to enforce population restrictions and distribute hospital resources. Here, we present a mathematical Susceptible-Exposed-Infectious-Recovered (SEIR) model to...

(This article belongs to the Special Issue Advances on Uncertainty Quantification: Theory and Modelling)
  • Article
  • Open Access
6 Citations
3,682 Views
11 Pages

17 May 2021

QA matching is a very important task in natural language processing, but current research on text matching focuses more on short text matching rather than long text matching. Compared with short text matching, long text matching is rich in informatio...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
29 Citations
4,077 Views
15 Pages

A Residual-Learning-Based Multi-Scale Parallel-Convolutions- Assisted Efficient CAD System for Liver Tumor Detection

  • Muazzam Maqsood,
  • Maryam Bukhari,
  • Zeeshan Ali,
  • Saira Gillani,
  • Irfan Mehmood,
  • Seungmin Rho and
  • Young-Ae Jung

17 May 2021

Smart multimedia-based medical analytics and decision-making systems are of prime importance in the healthcare sector. Liver cancer is commonly stated to be the sixth most widely diagnosed cancer and requires an early diagnosis to help with treatment...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
34 Citations
3,841 Views
16 Pages

17 May 2021

In this manuscript, we examine both the existence and the stability of solutions of the boundary value problems of Hadamard-type fractional differential equations of variable order. New outcomes are obtained in this paper based on the Darbo’s fixed p...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
3 Citations
2,470 Views
10 Pages

On the Paired-Domination Subdivision Number of Trees

  • Shouliu Wei,
  • Guoliang Hao,
  • Seyed Mahmoud Sheikholeslami,
  • Rana Khoeilar and
  • Hossein Karami

17 May 2021

A paired-dominating set of a graph G without isolated vertices is a dominating set of vertices whose induced subgraph has perfect matching. The minimum cardinality of a paired-dominating set of G is called the paired-domination number γpr(G) of G. Th...

(This article belongs to the Special Issue Graphs, Metrics and Models)
  • Article
  • Open Access
5 Citations
5,088 Views
24 Pages

17 May 2021

The complexity of consumer behavior requires new research methods to overcome the limitations of conventional evident-based research. The aim of this paper is the comparison between two types of factor analyses, Q and R (PCA and cluster analysis) for...

(This article belongs to the Special Issue Analysis and Mathematical Modeling of Economic - Related Data)
  • Article
  • Open Access
2 Citations
3,556 Views
21 Pages

Efficient Processing of All Nearest Neighbor Queries in Dynamic Road Networks

  • Aavash Bhandari,
  • Aziz Hasanov,
  • Muhammad Attique,
  • Hyung-Ju Cho and
  • Tae-Sun Chung

17 May 2021

The increasing trend of GPS-enabled smartphones has led to the tremendous usage of Location-Based Service applications. In the past few years, a significant amount of studies have been conducted to process All nearest neighbor (ANN) queries. An ANN q...

(This article belongs to the Special Issue Information Systems Modeling Based on Graph Theory)
  • Article
  • Open Access
2 Citations
2,157 Views
29 Pages

16 May 2021

The finite volume method and potential-vorticity vector formalism in their three-dimensional form were used to numerically study the impact of an adiabatic and impermeable vertical barrier on the dispersion of a local aero-contaminant due to the doub...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)
  • Article
  • Open Access
2 Citations
3,921 Views
23 Pages

Optimization Method to Address Psychosocial Risks through Adaptation of the Multidimensional Knapsack Problem

  • Marta Lilia Eraña-Díaz,
  • Marco Antonio Cruz-Chávez,
  • Fredy Juárez-Pérez,
  • Juana Enriquez-Urbano,
  • Rafael Rivera-López and
  • Mario Acosta-Flores

16 May 2021

This paper presents a methodological scheme to obtain the maximum benefit in occupational health by attending to psychosocial risk factors in a company. This scheme is based on selecting an optimal subset of psychosocial risk factors, considering the...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
8 Citations
3,728 Views
19 Pages

16 May 2021

The paper addresses the application of Volterra integral equations of the first kind for modeling dynamic power systems. We study the problem of forecasting the commissioning of capacities of the electric power system, taking into account various hyp...

(This article belongs to the Special Issue Numerical Simulation and Control in Energy Systems)
  • Article
  • Open Access
25 Citations
4,618 Views
15 Pages

LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation

  • Hamede Karami,
  • Saleh Mobayen,
  • Marzieh Lashkari,
  • Farhad Bayat and
  • Arthur Chang

16 May 2021

In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in the existence of external perturbations and Lipchitz nonlinearities is presented. This manuscript aims to design a state feedback controller based on...

(This article belongs to the Special Issue Nonlinear Dynamics)
  • Article
  • Open Access
8 Citations
3,412 Views
15 Pages

Trigonometric Embeddings in Polynomial Extended Mode Decomposition—Experimental Application to an Inverted Pendulum

  • Camilo Garcia-Tenorio,
  • Gilles Delansnay,
  • Eduardo Mojica-Nava and
  • Alain Vande Wouwer

15 May 2021

The extended dynamic mode decomposition algorithm is a tool for accurately approximating the point spectrum of the Koopman operator. This algorithm provides an approximate linear expansion of non-linear discrete-time systems, which can be useful for...

(This article belongs to the Special Issue Dynamical Systems and Operator Theory)
  • Article
  • Open Access
10 Citations
3,861 Views
23 Pages

Development and Application of a Multi-Objective Tool for Thermal Design of Heat Exchangers Using Neural Networks

  • José Luis de Andrés Honrubia,
  • José Gaviria de la Puerta,
  • Fernando Cortés,
  • Urko Aguirre-Larracoechea,
  • Aitor Goti and
  • Jone Retolaza

15 May 2021

This paper presents the design of a multi-objective tool for sizing shell and tube heat exchangers (STHX), developed under a University/Industry collaboration. This work aims to show the feasibility of implementing artificial intelligence tools durin...

(This article belongs to the Special Issue Intelligent Computing in Industry Applications)
  • Article
  • Open Access
86 Citations
5,008 Views
8 Pages

Four Distances for Circular Intuitionistic Fuzzy Sets

  • Krassimir Atanassov and
  • Evgeniy Marinov

15 May 2021

In the paper, for the first time, four distances for Circular Intuitionistic Fuzzy Sets (C-IFSs) are defined. These sets are extensions of the standard IFS that are extensions of Zadeh’s fuzzy sets. As it is shown, the distances for the C-IFS are dif...

(This article belongs to the Special Issue Intuitionistic Fuzzy Sets and Applications)
  • Article
  • Open Access
39 Citations
3,653 Views
18 Pages

Hybrid Model for Time Series of Complex Structure with ARIMA Components

  • Oksana Mandrikova,
  • Nadezhda Fetisova and
  • Yuriy Polozov

15 May 2021

A hybrid model for the time series of complex structure (HMTS) was proposed. It is based on the combination of function expansions in a wavelet series with ARIMA models. HMTS has regular and anomalous components. The time series components, obtained...

(This article belongs to the Special Issue Mathematical Methods, Modelling and Applications)
  • Article
  • Open Access
6 Citations
4,341 Views
18 Pages

15 May 2021

This study aims to explore the causal relationship between fiscal deficit (FD) and current account deficit (CAD) along with policy recommendations based on long-run and short-run dynamics and sensitivities. A panel data span from 1990 to 2019 is anal...

(This article belongs to the Special Issue Application of Mathematical Methods to Economics, Management, Finance and Social Problems)
  • Article
  • Open Access
3 Citations
2,372 Views
20 Pages

Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications

  • Zhong-Xuan Mao,
  • Ya-Ru Zhu,
  • Jun-Ping Hou,
  • Chun-Ping Ma and
  • Shi-Pu Liu

15 May 2021

In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha. Some of its properties are explored, and...

  • Article
  • Open Access
11 Citations
7,320 Views
19 Pages

Generalization Process by Second Grade Students

  • María D. Torres,
  • Antonio Moreno and
  • María C. Cañadas

14 May 2021

This study is part of a broader study on algebraic reasoning in elementary education. The research objective of the present survey, namely to describe generalization among second grade (7- to 8-year-old) students, was pursued through semi-structured...

(This article belongs to the Special Issue Research on Powerful Ideas for Enriching School Mathematical Learning)
  • Article
  • Open Access
2 Citations
2,349 Views
8 Pages

14 May 2021

The problem of guaranteeing stability from the entire null controllable region (NCR) for multi-input linear dynamical systems is addressed in the present manuscript. The proposed controller design is inspired by results for single input systems and g...

(This article belongs to the Special Issue Mathematics and Engineering II)
  • Article
  • Open Access
21 Citations
3,045 Views
11 Pages

New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation

  • Shyam Sundar Santra,
  • Abhay Kumar Sethi,
  • Osama Moaaz,
  • Khaled Mohamed Khedher and
  • Shao-Wen Yao

14 May 2021

In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form (a(ξ)((v(ξ)+b(ξ)v(ϑ(ξ)))))+c(ξ)G1(v(κ(ξ)))+d(ξ)G2(v(ς(ξ)))=0 under canonical and non-canonical operators, that is, ξ0dξa(ξ)= a...

(This article belongs to the Special Issue Advances in Differential and Difference Equations with Applications 2023)
  • Article
  • Open Access
2 Citations
2,370 Views
15 Pages

14 May 2021

Average prices are popularly used in the literature on price modeling. Calculating daily or weekly prices as an average over hourly or half-hourly trading periods assumes the same weight ignoring demand or traded volumes during those periods. Analyzi...

(This article belongs to the Special Issue Volatility Models Applied to Geophysics, Financial Market Data and Other Disciplines)
  • Article
  • Open Access
2 Citations
2,452 Views
24 Pages

14 May 2021

The initial boundary-value problem associated to a semilinear wave equation with time-dependent boundary values was approximated by using the method of lines. Time integration is achieved by means of an explicit time method obtained from an arbitrari...

(This article belongs to the Special Issue Numerical Methods for Evolutionary Problems)
  • Article
  • Open Access
19 Citations
2,241 Views
10 Pages

14 May 2021

In this work, we address an interesting problem in studying the oscillatory behavior of solutions of fourth-order neutral delay differential equations with a non-canonical operator. We obtained new criteria that improve upon previous results in the l...

(This article belongs to the Special Issue Advances in Differential and Difference Equations with Applications 2023)
  • Article
  • Open Access
23 Citations
3,837 Views
35 Pages

14 May 2021

This paper is inspired by the PQ penny flip game. It employs group-theoretic concepts to study the original game and its possible extensions. In this paper, it is shown that the PQ penny flip game can be associated, in a precise way, with the dihedra...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Feature Paper
  • Article
  • Open Access
2,642 Views
15 Pages

A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements

  • Juan M. Benito-Ostolaza,
  • María J. Campión and
  • Asier Estevan

14 May 2021

Social norms are a set of rules to be followed by the people of a community in order to have a better coexistence, to which the behaviors, tasks, and activities of the human being must be adjusted. The set or system of norms, rules, or duties regulat...

  • Article
  • Open Access
4 Citations
2,966 Views
21 Pages

14 May 2021

In the present paper, a wavelet method is proposed to study the impact of electronic media on economic situation. More precisely, wavelet techniques are applied versus classical methods to analyze economic indices in the market. The technique consist...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
5 Citations
2,905 Views
13 Pages

M-Hazy Vector Spaces over M-Hazy Field

  • Faisal Mehmood and
  • Fu-Gui Shi

14 May 2021

The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M-hazy vector sp...

(This article belongs to the Special Issue Fuzzy Logic and Soft Computing – Dedicated to the Centenary of the Birth of Lotfi A. Zadeh (1921-2017))
  • Article
  • Open Access
2 Citations
3,454 Views
17 Pages

13 May 2021

The formulation and analytic solution of a new mathematical model with constitutive curvature for analysis of tunnel ventilation shaft wall is proposed. Based on the Mindlin–Reissner theory for thick shells, this model also takes into account the she...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing)

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Mathematics - ISSN 2227-7390