Fractal and Fractional最新文献_第9页

Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data 航空运输客座率建模与预测：利用预订数据的分数微积分深度评估方法

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-07 DOI: 10.3390/fractalfract8040214

Kevser Şimşek, Nisa Özge Önal Tuğrul, K. Karaçuha, Vasil Tabatadze, E. Karaçuha

{"title":"Modeling and Predicting Passenger Load Factor in Air Transportation: A Deep Assessment Methodology with Fractional Calculus Approach Utilizing Reservation Data","authors":"Kevser Şimşek, Nisa Özge Önal Tuğrul, K. Karaçuha, Vasil Tabatadze, E. Karaçuha","doi":"10.3390/fractalfract8040214","DOIUrl":"https://doi.org/10.3390/fractalfract8040214","url":null,"abstract":"This study addresses the challenge of predicting the passenger load factor (PLF) in air transportation to optimize capacity management and revenue maximization. Leveraging historical reservation data from 19 Turkish Airlines market routes and sample flights, we propose a novel approach combining deep assessment methodology (DAM) with fractional calculus theory. By modeling the relationship between PLF and the number of days remaining until a flight, our method yields minimal errors compared to traditional techniques. Through a continuous curve constructed using the least-squares approach, we enable the anticipation of future flight values. Our analysis demonstrates that the DAM model with a first-order derivative outperforms linear techniques and the Fractional Model-3 in both modeling capabilities and prediction accuracy. The proposed approach offers a data-driven solution for efficiently managing air transport capacity, with implications for revenue optimization. Specifically, our modeling findings indicate that the DAM wd model improves prediction accuracy by approximately 0.67 times compared to the DAM model, surpassing the fractional model and regression analysis. For the DAM wd modeling method, the lowest average mean absolute percentage error (AMAPE) value achieved is 0.571, showcasing its effectiveness in forecasting flight outcomes.","PeriodicalId":12435,"journal":{"name":"Fractal and Fractional","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140732983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Detection of Pipeline Leaks Using Fractal Analysis of Acoustic Signals 利用声学信号的分形分析检测管道泄漏

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-05 DOI: 10.3390/fractalfract8040213

Ayrat Zagretdinov, Shamil Ziganshin, Eugenia Izmailova, Yuri Vankov, Ilya Klyukin, Roman Alexandrov

引用次数: 0

Fractional Calculus to Analyze Efficiency Behavior in a Balancing Loop in a System Dynamics Environment 用分数微积分分析系统动力学环境中平衡环路的效率行为

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-04 DOI: 10.3390/fractalfract8040212

Jorge Manuel Barrios-Sánchez, Roberto Baeza-Serrato, L. Martínez-Jiménez

引用次数: 0

Study on a Nonlocal Fractional Coupled System Involving (k,ψ)-Hilfer Derivatives and (k,ψ)-Riemann–Liouville Integral Operators 涉及 (k,ψ)-Hilfer 衍生器和 (k,ψ)-Riemann-Liouville 积分算子的非局部分数耦合系统研究

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-04 DOI: 10.3390/fractalfract8040211

A. Samadi, Sotiris K. Ntouyas, J. Tariboon

引用次数: 0

Extracting the Ultimate New Soliton Solutions of Some Nonlinear Time Fractional PDEs via the Conformable Fractional Derivative 通过可变分式衍生物提取某些非线性时间分式多线性方程的终极新孤子解

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-03 DOI: 10.3390/fractalfract8040210

Md Ashik Iqbal, A. Ganie, M. M. Miah, M. S. Osman

{"title":"Extracting the Ultimate New Soliton Solutions of Some Nonlinear Time Fractional PDEs via the Conformable Fractional Derivative","authors":"Md Ashik Iqbal, A. Ganie, M. M. Miah, M. S. Osman","doi":"10.3390/fractalfract8040210","DOIUrl":"https://doi.org/10.3390/fractalfract8040210","url":null,"abstract":"Nonlinear fractional-order differential equations have an important role in various branches of applied science and fractional engineering. This research paper shows the practical application of three such fractional mathematical models, which are the time-fractional Klein–Gordon equation (KGE), the time-fractional Sharma–Tasso–Olever equation (STOE), and the time-fractional Clannish Random Walker’s Parabolic equation (CRWPE). These models were investigated by using an expansion method for extracting new soliton solutions. Two types of results were found: one was trigonometric and the other one was an exponential form. For a profound explanation of the physical phenomena of the studied fractional models, some results were graphed in 2D, 3D, and contour plots by imposing the distinctive results for some parameters under the oblige conditions. From the numerical investigation, it was noticed that the obtained results referred smooth kink-shaped soliton, ant-kink-shaped soliton, bright kink-shaped soliton, singular periodic solution, and multiple singular periodic solutions. The results also showed that the amplitude of the wave augmented with the pulsation in time, which derived the order of time fractional coefficient, remarkably enhanced the wave propagation, and influenced the nonlinearity impacts.","PeriodicalId":12435,"journal":{"name":"Fractal and Fractional","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140747840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractal Characteristics of Natural Fiber-Reinforced Soil in Arid Climate Due to Cracking 干旱气候下天然纤维加固土壤因开裂而产生的分形特征

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-03 DOI: 10.3390/fractalfract8040209

Binbin Yang, Lichuang Jin

{"title":"Fractal Characteristics of Natural Fiber-Reinforced Soil in Arid Climate Due to Cracking","authors":"Binbin Yang, Lichuang Jin","doi":"10.3390/fractalfract8040209","DOIUrl":"https://doi.org/10.3390/fractalfract8040209","url":null,"abstract":"Fractal geometry is a geometry that focuses on irregular geometric forms and can quantitatively describe rough and uneven surfaces and interfaces. As the main material for making natural fiber geotextile, rice straw fiber can reduce the direct impact of rainfall on soil and reduce the intensity of hydraulic erosion. This study investigates whether the use of rice straw fiber as an additive to reinforce arid soil can inhibit moisture evaporation and prevent cracking. Samples with different fiber contents added (0%, 1%, 2%, and 4%) are placed in an environmental chamber to simulate the effects of an arid climatic condition and control the temperature and humidity levels. The cracking process of the samples is recorded by using a digital camera, and the parameters of the evaporation and cracking processes are quantitatively examined through digital image processing. The results show that all of the samples with fiber have a higher residual water content and can retain 31.4%, 58.5%, and 101.9% more water than without the fibers, respectively. Furthermore, both the primary and secondary cracks as well as crack networks are inhibited in samples with a higher fiber content, that is, 2% or 4% fiber contents. The samples reinforced with fiber also have a smaller crack ratio. Compared with the samples without straw fiber, the final crack ratio of the samples with 1%, 2%, and 4% fiber is reduced by 8.05%, 24.09%, and 35.01% respectively. Finally, the final fractal dimensions of the cracks in samples with fiber contents are also reduced by 0.54%, 5.50%, and 6.40% for the samples with 1%, 2%, and 4% fiber, respectively. The addition of natural fiber as an additive to reduce evaporative cracking in soil can: (1) reduce the soil porosity; (2) enhance the binding force between the soil particles; and (3) block the hydrophobic channels. Therefore, the addition of rice straw fiber to soil can effectively reduce soil evaporation and inhibit soil cracking.","PeriodicalId":12435,"journal":{"name":"Fractal and Fractional","volume":null,"pages":null},"PeriodicalIF":5.4,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140746046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dengue Transmission Dynamics: A Fractional-Order Approach with Compartmental Modeling 登革热传播动力学：采用分区模型的分数阶方法

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-02 DOI: 10.3390/fractalfract8040207

Mutum Zico Meetei, Shahbaz Zafar, Abdullah A. Zaagan, Ali M. Mahnashi, Muhammad Idrees

引用次数: 0

Error Bounds for Fractional Integral Inequalities with Applications 分数积分不等式的误差边界及其应用

IF 5.4 2区数学

Fractal and Fractional Pub Date : 2024-04-02 DOI: 10.3390/fractalfract8040208

Nouf Abdulrahman Alqahtani, S. Qaisar, Arslan Munir, Muhammad Naeem, Hüseyin Budak

引用次数: 0

MO-CCCII-Based Single-Input Multi-Output (SIMO) Current-Mode Fractional-Order Universal and Shelving Filter 基于 MO-CCCII 的单输入多输出 (SIMO) 电流模式分数阶通用和陷波滤波器