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Mathematics, Volume 12, Issue 19

2024 October-1 - 202 articles

Cover Story: We study Mittag–Leffler (ML) fractional integrals involved in the solution processes of a system of coupled fractional stochastic differential equations. We introduce the ML fractional stochastic process as a ML fractional stochastic integral with respect to a standard Brownian motion. We provide some representation formulas of solution processes in terms of Mittag–Leffler fractional integrals and processes. Computable expressions of the mean functions and of the covariances of such processes are specifically given. The application in neuronal modeling is provided, and all involved functions and processes are specifically determined. Numerical evaluations are carried out and some results are shown and discussed. View this paper
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Articles (202)

  • Article
  • Open Access
1 Citations
1,555 Views
25 Pages

9 October 2024

This study investigated non-instantaneous deteriorating items because not all products deteriorate immediately. In the high-tech product life cycle, the product demand increases linearly substantially in the growth stage and maintains a near-constant...

  • Article
  • Open Access
3 Citations
1,810 Views
18 Pages

Spatial–Temporal-Correlation-Constrained Dynamic Graph Convolutional Network for Traffic Flow Forecasting

  • Yajun Ge,
  • Jiannan Wang,
  • Bo Zhang,
  • Fan Peng,
  • Jing Ma,
  • Chenyu Yang,
  • Yue Zhao and
  • Ming Liu

9 October 2024

Accurate traffic flow prediction in road networks is essential for intelligent transportation systems (ITS). Since traffic data are collected from the road network with spatial topological and time series sequences, the traffic flow prediction is reg...

  • Article
  • Open Access
4 Citations
6,601 Views
15 Pages

9 October 2024

The global financial landscape has witnessed a significant shift towards Exchange-Traded Funds (ETFs), with their market capitalization surpassing USD 10 trillion in 2023, due to advantages such as low management fees, high liquidity, and broad marke...

  • Article
  • Open Access
2 Citations
1,648 Views
22 Pages

An Adaptive Chirp Mode Decomposition-Based Method for Modal Identification of Time-Varying Structures

  • Xiao-Jun Yao,
  • Yu-Chun Lv,
  • Xiao-Mei Yang,
  • Feng-Yang Wang and
  • Yong-Xiang Zheng

9 October 2024

Modal parameters are inherent characteristics of civil structures. Due to the effect of environmental factors and ambient loads, the physical and modal characteristics of a structure tend to change over time. Therefore, the effective identification o...

  • Article
  • Open Access
6 Citations
2,266 Views
15 Pages

Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis

  • Priyanka Majumder and
  • Valerio Antonio Pamplona Salomon

9 October 2024

Multi-attribute decision-making (MADM) is a methodology for solving decision problems with a finite set of alternatives. The several methods of MADM require weights for the criteria and the alternatives to provide a solution. The Ordinal Priority App...

  • Article
  • Open Access
1 Citations
1,183 Views
20 Pages

9 October 2024

We study Markov operators T, A, and T* of general Markov chains on an arbitrary measurable space. The operator, T, is defined on the Banach space of all bounded measurable functions. The operator A is defined on the Banach space of all bounded counta...

  • Article
  • Open Access
5 Citations
1,356 Views
21 Pages

9 October 2024

With the rapid growth of social media and live-streaming technology, live-stream selling has become integral to the digital economy. Using differential game theory, this paper examines how fairness concerns impact the profits of internet celebrities...

  • Article
  • Open Access
3 Citations
3,463 Views
16 Pages

Out-of-Distribution Detection with Memory-Augmented Variational Autoencoder

  • Faezeh Ataeiasad,
  • David Elizondo,
  • Saúl Calderón Ramírez,
  • Sarah Greenfield and
  • Lipika Deka

9 October 2024

This paper proposes a novel method capable of both detecting OOD data and generating in-distribution data samples. To achieve this, a VAE model is adopted and augmented with a memory module, providing capacities for identifying OOD data and synthesis...

  • Article
  • Open Access
1,529 Views
22 Pages

Systematic Analysis of Packaging Production in the Electric Motors Industry: A Multi-Criteria Approach through the SAPEVO-M Method

  • Carlos Eduardo Loterio Matos,
  • Miguel Ângelo Lellis Moreira,
  • Maria Teresa Ribeiro Pereira,
  • Carlos Francisco Simões Gomes,
  • Marcos dos Santos and
  • Francisco J. G. Silva

9 October 2024

Market competitiveness drives the electric motors industry, which in turn necessitates the selection of optimal production scenarios, particularly in the context of packaging. This is crucial for maintaining competitiveness and meeting the rigorous q...

  • Article
  • Open Access
1,421 Views
17 Pages

Periodic and Quasi-Periodic Orbits in the Collinear Four-Body Problem: A Variational Analysis

  • Abdalla Mansur,
  • Muhammad Shoaib,
  • Iharka Szücs-Csillik,
  • Daniel Offin,
  • Jack Brimberg and
  • Hedia Fgaier

9 October 2024

This paper investigated the periodic and quasi-periodic orbits in the symmetric collinear four-body problem through a variational approach. We analyze the conditions under which homographic solutions minimize the action functional. We compute the min...

  • Article
  • Open Access
3 Citations
7,316 Views
23 Pages

8 October 2024

This study examines how telematics variables such as annual percentage driven, total miles driven, and driving patterns influence the distributional behaviour of conventional rating factors when incorporated into predictive models for capturing auto...

  • Article
  • Open Access
5 Citations
4,689 Views
11 Pages

8 October 2024

This study focuses on the neural machine translation task for the TR-EN language pair, which is considered a low-resource language pair. We investigated fine-tuning strategies for pre-trained language models. Specifically, we explored the effectivene...

  • Article
  • Open Access
1 Citations
1,558 Views
35 Pages

Fuzzy Linear Temporal Logic with Quality Constraints

  • Xianfeng Yu,
  • Yongming Li and
  • Shengling Geng

8 October 2024

As an extension of quantitative temporal logic, uncertain temporal logic essentially describes the temporal behavior of uncertain and incomplete systems, thus better solving search and decision-making problems in such systems. Fuzzy linear temporal l...

  • Article
  • Open Access
1,823 Views
17 Pages

8 October 2024

The threat of quantum computing has spurred research into post-quantum cryptography. SQIsign, a candidate submitted to the standardization process of the National Institute of Standards and Technology, is emerging as a promising isogeny-based signatu...

  • Article
  • Open Access
7 Citations
1,924 Views
19 Pages

8 October 2024

This work aims to analyze the effects of the main process parameters of fused filament fabrication (FFF) on the mechanical properties and part weight of 3D-printed thermoplastic polyurethane (TPU). Raster angle (RA), infill percentage (IP), and extru...

  • Article
  • Open Access
3 Citations
2,062 Views
16 Pages

8 October 2024

Traditional portfolio construction primarily revolves around a bi-objective approach, focusing on minimizing portfolio variance while maximizing expected returns. However, this approach leaves out other objectives that could interest decision makers....

  • Article
  • Open Access
5 Citations
3,960 Views
18 Pages

Joint Approach for Vehicle Routing Problems Based on Genetic Algorithm and Graph Convolutional Network

  • Dingding Qi,
  • Yingjun Zhao,
  • Zhengjun Wang,
  • Wei Wang,
  • Li Pi and
  • Longyue Li

8 October 2024

The logistics demands of industries represented by e-commerce have experienced explosive growth in recent years. Vehicle path-planning plays a crucial role in optimization systems for logistics and distribution. A path-planning scheme suitable for an...

  • Article
  • Open Access
2 Citations
2,405 Views
21 Pages

8 October 2024

The market share of electric vehicles (EVs) is growing rapidly. However, given the huge demand for parking and charging of electric vehicles, supporting facilities generally have problems such as insufficient quantity, low utilization efficiency, and...

  • Article
  • Open Access
2 Citations
1,353 Views
17 Pages

8 October 2024

This article aims to provide an accurate mathematical model with the minimum number of degrees of freedom for describing the floating sleeper phenomenon. This was accomplished using mathematical modeling supported by extensive field measurements of t...

  • Article
  • Open Access
2 Citations
2,532 Views
19 Pages

8 October 2024

Large Language Models (LLMs) excel in fields such as natural language understanding, generation, complex reasoning, and biomedicine. With advancements in materials science, traditional manual annotation methods for phase diagrams have become inadequa...

  • Article
  • Open Access
2 Citations
1,954 Views
21 Pages

Optimizing Maintenance of Energy Supply Systems in City Logistics with Heuristics and Reinforcement Learning

  • Antoni Guerrero,
  • Angel A. Juan,
  • Alvaro Garcia-Sanchez and
  • Luis Pita-Romero

7 October 2024

In urban logistics, effective maintenance is crucial for maintaining the reliability and efficiency of energy supply systems, impacting both asset performance and operational stability. This paper addresses the scheduling and routing plans for mainte...

  • Article
  • Open Access
2 Citations
1,993 Views
18 Pages

7 October 2024

The multiple regression model statistical technique is employed to analyze the relationship between the dependent variable and several independent variables. The multicollinearity problem is one of the issues affecting the multiple regression model,...

  • Article
  • Open Access
3 Citations
1,483 Views
17 Pages

7 October 2024

The work establishes the unique solvability of a boundary value problem for a 3D linearized system of Navier–Stokes equations in a degenerate domain represented by a cone. The domain degenerates at the vertex of the cone at the initial moment o...

  • Article
  • Open Access
2 Citations
1,530 Views
17 Pages

Double Tseng’s Algorithm with Inertial Terms for Inclusion Problems and Applications in Image Deblurring

  • Purit Thammasiri,
  • Vasile Berinde,
  • Narin Petrot and
  • Kasamsuk Ungchittrakool

7 October 2024

In this research paper, we present a novel theoretical technique, referred to as the double Tseng’s algorithm with inertial terms, for finding a common solution to two monotone inclusion problems. Developing the double Tseng’s algorithm i...

  • Article
  • Open Access
2 Citations
1,449 Views
16 Pages

Idempotent-Aided Factorizations of Regular Elements of a Semigroup

  • Miroslav Ćirić,
  • Jelena Ignjatović and
  • Predrag S. Stanimirović

7 October 2024

In the present paper, we introduce the concept of idempotent-aided factorization (I.-A. factorization) of a regular element of a semigroup, which can be understood as a semigroup-theoretical extension of full-rank factorization of matrices over a fie...

  • Feature Paper
  • Article
  • Open Access
1,049 Views
16 Pages

7 October 2024

We establish lower norm bounds for multivariate functions within weighted Lebesgue spaces, characterised by a summation of functions whose components solve a system of nonlinear integral equations. This problem originates in portfolio selection theor...

  • Article
  • Open Access
1 Citations
1,244 Views
13 Pages

On Nilpotent Elements and Armendariz Modules

  • Nazeer Ansari,
  • Kholood Alnefaie,
  • Shakir Ali,
  • Adnan Abbasi and
  • Kh. Herachandra Singh

7 October 2024

For a left module MR over a non-commutative ring R, the notion for the class of nilpotent elements (nilR(M)) was first introduced and studied by Sevviiri and Groenewald in 2014 (Commun. Algebra, 42, 571–577). Moreover, Armendariz and semicommut...

  • Article
  • Open Access
1 Citations
4,854 Views
33 Pages

7 October 2024

In the trade environment of a globalized economy, tariffs play a crucial role in transnational supply chains. At the same time, the power structure of the supply chain also plays an important role in the decision making and income distribution of a t...

  • Article
  • Open Access
1,209 Views
28 Pages

7 October 2024

We introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp. normaliz...

  • Article
  • Open Access
3 Citations
1,701 Views
27 Pages

7 October 2024

This paper investigates numerically the shock wave interaction with a V-shaped heavy/light interface. For numerical simulations, we choose six distinct vertex angles (θ=40,60,90,120,150, and 170), five...

  • Article
  • Open Access
14 Citations
1,856 Views
11 Pages

Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds

  • Yanlin Li,
  • M. S. Siddesha,
  • H. Aruna Kumara and
  • M. M. Praveena

7 October 2024

In this work, we aim to investigate the characteristics of the Bach and Cotton tensors on Lorentzian manifolds, particularly those admitting a semi-symmetric metric ω-connection. First, we prove that a Lorentzian manifold admitting a semi-symme...

  • Article
  • Open Access
3 Citations
3,339 Views
21 Pages

6 October 2024

Real-world projects encounter numerous issues, challenges, and assumptions that lead to changes in scheduling. This exposure has prompted researchers to develop new scheduling models, such as those addressing constrained resources, multi-skill resour...

  • Article
  • Open Access
1 Citations
1,150 Views
15 Pages

6 October 2024

Complex physical processes, which could evolve in both spatial and temporal dimensions and be represented by partial difference equations, could also operate in a repetitive mode with iterative learning methods as suitable control laws. For these thr...

  • Article
  • Open Access
1,585 Views
18 Pages

6 October 2024

Parallel Concatenated Block (PCB) codes are conventionally represented as high-rate codes with low error correcting capability. To form a reliable and outstanding code, this paper presents a modification on the structure of PCB codes, which is accomp...

  • Article
  • Open Access
989 Views
21 Pages

6 October 2024

The specificity and complexity of space networks render the traditional key management mechanism no longer applicable. The certificate-less-based distributed spatial network key management scheme proposed in this paper combines the characteristics of...

  • Article
  • Open Access
7 Citations
3,079 Views
17 Pages

6 October 2024

The first quarter of the 21st century has witnessed many technological innovations in various sectors. Likewise, the COVID-19 pandemic triggered the acceleration of digital transformation in organizations driven by artificial intelligence and communi...

  • Article
  • Open Access
6 Citations
2,035 Views
22 Pages

LLE-STD: Traffic Sign Detection Method Based on Low-Light Image Enhancement and Small Target Detection

  • Tianqi Wang,
  • Hongquan Qu,
  • Chang’an Liu,
  • Tong Zheng and
  • Zhuoyang Lyu

6 October 2024

With the continuous development of autonomous driving, traffic sign detection, as an essential subtask, has witnessed constant updates in corresponding technologies. Currently, traffic sign detection primarily confronts challenges such as the small s...

  • Article
  • Open Access
1,645 Views
23 Pages

6 October 2024

This study explores a supply chain product-inventory problem with advance sales under the omni-channel strategies (physical and online sales channels) based on the brand owner’s business model and develops corresponding models that have not bee...

  • Article
  • Open Access
1,068 Views
13 Pages

5 October 2024

An L(d,1)-labeling of a graph G=(V,E) is a function f from the vertex set V(G) to the set of nonnegative integers such that the labels on adjacent vertices differ by at least d and the labels on vertices at distance two differ by at least one, where...

  • Article
  • Open Access
7 Citations
5,243 Views
18 Pages

5 October 2024

This study harnesses the linguistic diversity of Arabic dialects to create two expansive corpora from X (formerly Twitter). The Gulf Arabic Corpus (GAC-6) includes around 1.7 million tweets from six Gulf countries—Saudi Arabia, UAE, Qatar, Oman...

  • Article
  • Open Access
6 Citations
4,232 Views
21 Pages

5 October 2024

This study leverages explainable artificial intelligence (XAI) techniques to analyze public sentiment towards Environmental, Social, and Governance (ESG) factors, climate change, and green finance. It does so by developing a novel multi-task learning...

  • Article
  • Open Access
4,467 Views
36 Pages

5 October 2024

The determination of the capital structure is a critical component of a company’s financial decision-making process. The question of how to optimize a firm’s capital structure to increase its value has been a significant topic of interest...

  • Article
  • Open Access
1 Citations
1,453 Views
14 Pages

5 October 2024

This article investigates a class of multi-agent systems (MASs) with known dynamics external disturbances, where the communication graph is directed, and the followers have undirected connections. To eliminate the impacts of external disturbance, the...

  • Article
  • Open Access
3,639 Views
24 Pages

4 October 2024

The data envelopment analysis (DEA) models have been widely recognized and applied in various fields. However, these models have limitations, such as their inability to globally rank DMUs, the efficiency values are definite numerical values, they are...

  • Article
  • Open Access
1,599 Views
20 Pages

Statistical Predictive Hybrid Choice Modeling: Exploring Embedded Neural Architecture

  • Ibrahim A. Nafisah,
  • Irsa Sajjad,
  • Mohammed A. Alshahrani,
  • Osama Abdulaziz Alamri,
  • Mohammed M. A. Almazah and
  • Javid Gani Dar

4 October 2024

This study introduces an enhanced version of the discrete choice model combining embedded neural architecture to enhance predictive accuracy while preserving interpretability in choice modeling across temporal dimensions. Unlike the traditional archi...

  • Article
  • Open Access
1 Citations
1,885 Views
24 Pages

A Method for Quantifying Global Network Topology Based on a Mathematical Model

  • Jinyu Zhu,
  • Yu Zhang,
  • Yunan Wang,
  • Hongli Zhang and
  • Binxing Fang

4 October 2024

To facilitate a direct comparison of the differences in network resources among countries worldwide, this paper proposes a method for quantifying the relationship between autonomous systems and territorial networks from the perspective of network top...

  • Article
  • Open Access
3 Citations
1,322 Views
11 Pages

Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform

  • Ekambaram Chandrasekaran,
  • George E. Chatzarakis,
  • Radhakrishnan Sakthivel and
  • Ethiraju Thandapani

4 October 2024

This paper focuses on the oscillatory properties of the third-order semi-canonical nonlinear delay differential equation. By using the new canonical transform method, we transformed the studied equation into a canonical-type equation, which simplifie...

  • Article
  • Open Access
3,175 Views
24 Pages

4 October 2024

This paper reports fractal patterns identified in the complex musical composition DIAPHONIES by Michael Paouris via power-law fractal analysis with sliding-windows of size 1024. From 7,647,232 analysed musical segments of DIAPHONIES, 3,222,832 (42.4%...

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Mathematics - ISSN 2227-7390