Fractals最新文献_第4页

Complexity-Based Analysis of Cardiac-Facial Muscle Coupling During Controlled Respiration 控制呼吸过程中心脏-面部肌肉耦合的复杂性分析

Fractals Pub Date : 2026-09-18 DOI: 10.1142/s0218348x26501550

Anupam Baliyan,Najmeh Pakniyat,Riya Chauhan,Ondrej Krejcar,Vladimir Kasik,Penhaker Marek,Hamidreza Namazi

{"title":"Complexity-Based Analysis of Cardiac-Facial Muscle Coupling During Controlled Respiration","authors":"Anupam Baliyan,Najmeh Pakniyat,Riya Chauhan,Ondrej Krejcar,Vladimir Kasik,Penhaker Marek,Hamidreza Namazi","doi":"10.1142/s0218348x26501550","DOIUrl":"https://doi.org/10.1142/s0218348x26501550","url":null,"abstract":"This study investigates how different controlled respiration patterns influence the coordinated dynamics of facial muscle activity and cardiac function by analyzing electromyography (EMG) and electrocardiography (ECG) signals. Twenty-six healthy participants performed four respiration tasks with different controlled respiration conditions, while facial EMG and ECG signals were continuously recorded. To characterize the temporal structure of these physiological signals, three nonlinear complexity metrics-fractal dimension (FD), sample entropy (SampEn), and approximate entropy (ApEn)-were computed from EMG signals and heart rate variability (HRV) derived from ECG. The results revealed that the complexity of both EMG and HRV signals increased as the difficulty of the respiration tasks increased, indicating more irregular and information-rich physiological dynamics under more demanding breathing patterns. In addition, strong positive correlations were observed between the complexity variations of facial EMG and HRV across the respiration conditions, suggesting coordinated adaptation between somatic and autonomic physiological systems during controlled breathing. These findings demonstrate that nonlinear complexity measures provide sensitive indicators of cardio-somatic responses to respiration modulation and highlight the potential of combined EMG-ECG complexity analysis for understanding physiological regulation during breathing tasks and related psychophysiological states.","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149021104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Theoretical Existence in Banach Spaces and Numerical Simulation of Fractional Smoking Model with Caputo-Fabrizio Derivatives 带Caputo-Fabrizio导数的分数吸烟模型在Banach空间中的理论存在性及数值模拟

Fractals Pub Date : 2026-09-18 DOI: 10.1142/s0218348x26501549

Khalid Fanoukh Al Oweidi,Zakirullah

{"title":"Theoretical Existence in Banach Spaces and Numerical Simulation of Fractional Smoking Model with Caputo-Fabrizio Derivatives","authors":"Khalid Fanoukh Al Oweidi,Zakirullah","doi":"10.1142/s0218348x26501549","DOIUrl":"https://doi.org/10.1142/s0218348x26501549","url":null,"abstract":"Smoking remains a significant public health burden whose population-level dynamics are inadequately captured by classical integer-order compartmental models, which lack the capacity to encode historical dependence in behavioral transitions. Using the Caputo-Fabrizio (CF) derivative, we propose and analyze a five-compartment fractional-order smoking model, which includes potential ([Formula: see text]), occasional ([Formula: see text]), heavy ([Formula: see text]), quitting ([Formula: see text]), and recovered ([Formula: see text]) individuals. Using the Banach contraction principle and Picard iteration, the existence and uniqueness of solutions in a Banach function space are established, and Ulam-Hyers stability is verified. To simulate fractional orders numerically, we develop a two-step Adams-Bashforth scheme applied to the CF integral. Finally, to recover biologically consistent parameter values, a Physics-Informed Neural Network (PINN) framework is constructed that approximates the five model states and estimates all ten biological parameters by minimising a composite loss enforcing the CF fractional equations, initial conditions, and data fidelity against CDC National Health Interview Survey cigarette smoking prevalence records for 2000–2023. Based on the estimated fractional order [Formula: see text], memory effects are measurable in smoking dynamics and in the recovered parameter values. The findings show that smoking initiation and preventive interventions dominate initial dynamics, whereas cessation and recovery parameters determine long-term asymptotic behavior. In the results, decreasing [Formula: see text] leads to decline of the potential smoker class, reduces infection peak, and increases recovery rate.","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149021102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Enhancing Social Impact Through AI: CNN-Based Early Melanoma Detection for Improving Skin Cancer Diagnostics and Healthcare Access 通过人工智能增强社会影响：基于cnn的早期黑色素瘤检测改善皮肤癌诊断和医疗保健服务

Fractals Pub Date : 2026-09-11 DOI: 10.1142/s0218348x26501562

Ricardo Carreno-Aguilera,Julian Patino-Ortiz,Miguel Patino-Ortiz,Veronica Aguilar-Esteva,Adan Acosta-Banda,Sergio Juarez-Vazquez,Efrain Duenas-Reyes

{"title":"Enhancing Social Impact Through AI: CNN-Based Early Melanoma Detection for Improving Skin Cancer Diagnostics and Healthcare Access","authors":"Ricardo Carreno-Aguilera,Julian Patino-Ortiz,Miguel Patino-Ortiz,Veronica Aguilar-Esteva,Adan Acosta-Banda,Sergio Juarez-Vazquez,Efrain Duenas-Reyes","doi":"10.1142/s0218348x26501562","DOIUrl":"https://doi.org/10.1142/s0218348x26501562","url":null,"abstract":"Skin cancer, particularly melanoma, remains a critical global health challenge where early detection significantly improves patient survival and reduces healthcare costs. In response to this need, this study presents a deep learning-based approach to transforming skin cancer diagnosis through accessible, accurate automated detection. A convolutional neural network (CNN) architecture with YOLO11 was developed and evaluated to improve melanoma classification in dermatological images. To further enhance diagnostic reliability, an image preprocessing stage was implemented to remove artifacts such as hair, thereby improving overall image quality and classification performance. The proposed model achieved 90% accuracy, with strong sensitivity and specificity, demonstrating its effectiveness in distinguishing benign from malignant lesions. Beyond technical performance, this work highlights the potential of CNN to expand access to early melanoma detection, particularly in resource-limited settings where specialist care may be scarce. By enabling faster, more cost-effective, and more reliable screening, this approach helps reduce diagnostic delays, optimize healthcare resources, and ultimately improve patient outcomes and quality of life. These results support the continued development of AI-driven tools as scalable solutions for equitable and impactful healthcare delivery.","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148932799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytical Soliton Solutions and Nonlinear Wave Dynamics of the Aigerim-Ratbay-Shyngys and Akbota-Bayan-Myrzakulov Equations via the Lyapunov Stability Analysis 基于Lyapunov稳定性分析的aigerim - ratbayy - shyngys和Akbota-Bayan-Myrzakulov方程的解析孤子解和非线性波动动力学

Fractals Pub Date : 2026-09-08 DOI: 10.1142/s0218348x27400202

Abhisek Datta,Md. Emon,Md. Shamsujjaman,M. Ali Akbar,A. H. Bakhsh,W. Mahmoud,M. S. Osman

{"title":"Analytical Soliton Solutions and Nonlinear Wave Dynamics of the Aigerim-Ratbay-Shyngys and Akbota-Bayan-Myrzakulov Equations via the Lyapunov Stability Analysis","authors":"Abhisek Datta,Md. Emon,Md. Shamsujjaman,M. Ali Akbar,A. H. Bakhsh,W. Mahmoud,M. S. Osman","doi":"10.1142/s0218348x27400202","DOIUrl":"https://doi.org/10.1142/s0218348x27400202","url":null,"abstract":"The Aigerim-Ratbay-Shyngys equation is used to model ultrashort optical soliton propagation in nonlinear media, Alfvén soliton waves in magnetized plasmas, soliton dynamics in anharmonic lattices, and traffic soliton phenomena. The Akbota-Bayan-Myrzakulov equation describes nonlinear spin dynamics, geometric motion of curves and surfaces, and optical soliton propagation in telecommunications. In this article, we have investigated the fresh and broad spectral soliton solutions for the above models and their corresponding wave profiles as well by using the enhanced modified simple equation method. It is illustrated that the waveform features play an important role in the change of the associated free parameters. The soliton solutions are obtained by equating the exponents of the highest-order linear and nonlinear terms in the governing models. As a result, a variety of exact solutions for both models are obtained, including dark solitons, bright solitons, and singular profiles. The Lyapunov stability analysis demonstrates that both systems are dynamically stable. The solutions obtained in this study are further general and widely applicable and contain some unique forms that have not been reported in previous studies.","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148932800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

THE LIPSCHITZ REGULARITY AND DIFFERENTIABILITY OF THE RIEMANN–LIOUVILLE FRACTIONAL INTEGRAL OF HÖLDER CONTINUOUS FUNCTIONS hÖlder连续函数的riemann-liouville分数积分的lipschitz正则性和可微性

Fractals Pub Date : 2026-09-07 DOI: 10.1142/s0218348x26501343

YIFAN ZHANG,YONGSHUN LIANG

引用次数: 0

Impulsively Driven Fractional Relaxation: Exact Response, Scaling Laws, Frequency-Domain Signatures, and Memory-Induced Crossover Structures 脉冲驱动的分数弛豫：精确响应、比例定律、频域特征和记忆诱导的交叉结构

Fractals Pub Date : 2026-08-31 DOI: 10.1142/s0218348x26501446

Koichi Nakagawa

{"title":"Impulsively Driven Fractional Relaxation: Exact Response, Scaling Laws, Frequency-Domain Signatures, and Memory-Induced Crossover Structures","authors":"Koichi Nakagawa","doi":"10.1142/s0218348x26501446","DOIUrl":"https://doi.org/10.1142/s0218348x26501446","url":null,"abstract":"We investigate periodically impulsive fractional relaxation as a minimal model of nonlocal dissipative dynamics under repeated external stimulation. The free relaxation law is classical, but the driven problem introduces an additional timescale whose competition with the intrinsic fractional-memory scale generates nontrivial accumulation and crossover behavior. We derive the exact Laplace-domain and time-domain responses, establish the sparse-forcing scaling of the long-time averaged response, and obtain an analytical crossover interval proportional to the inverse fractional power of the relaxation coefficient. To separate established properties of Mittag-Leffler relaxation from the new effects of forcing, we explicitly compare the unforced, impulsive, and periodically driven settings. Extended long-time simulations verify the algebraic tail, while an independent L1 discretization provides a numerical benchmark for the exact solution. We further connect the relaxation kernel to measurable frequency-domain quantities through the Cole-Cole complex susceptibility and discuss interpretations in dielectric and viscoelastic relaxation, anomalous transport, non-Markovian open systems, and intermittent reinforcement. The resulting framework supplies an analytically solvable reference model for memory accumulation under repeated driving. The present analytical framework therefore provides a bridge between fractional relaxation theory and experimentally accessible time- and frequency-domain observables.","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Discrete fractal dimensions of Sierpinski skeleton graph and its quasi-isometric relatives Sierpinski骨架图及其拟等距亲属的离散分形维数

Fractals Pub Date : 2026-08-31 DOI: 10.1142/s0218348x26501458

Zhikun Xie,Qimeng Cheng,Lifeng Xi

引用次数: 0

A New Class of Center-Radius Order (P, 𝔪)-Superquadratic Interval-Valued Stochastic Processes with Fractional Integral Inequalities and Applications 一类具有分数阶积分不等式的中心-半径阶(P,)-超二次区间值随机过程及其应用

Fractals Pub Date : 2026-08-31 DOI: 10.1142/s0218348x2650146x

Dawood Khan,Saad Ihsan Butt,Mohammed Alammar,Youngsoo Seol

{"title":"A New Class of Center-Radius Order (P, 𝔪)-Superquadratic Interval-Valued Stochastic Processes with Fractional Integral Inequalities and Applications","authors":"Dawood Khan,Saad Ihsan Butt,Mohammed Alammar,Youngsoo Seol","doi":"10.1142/s0218348x2650146x","DOIUrl":"https://doi.org/10.1142/s0218348x2650146x","url":null,"abstract":"In this study, we formulate and rigorously establish, for the first time, a novel and analytically enriched class of center-radius ordered [Formula: see text]-superquadratic interval-valued stochastic processes, referred to as cr-[Formula: see text]- superquadratic [Formula: see text]s, thereby providing a substantial advancement in the theoretical framework of interval stochastic analysis and contemporary fractional inequality theory, and present a comprehensive investigation of their fundamental structural properties. Within this newly developed framework, we derive re ned Jensen- and Hermite-Hadamard (H,H)-type inequalities under the center-radius total order relation. Furthermore, we derive their fractional analogues by employing mean- square stochastic Riemann-Liouville (R,L) fractional integral operators, thereby extending classical inequalities to a broader stochastic interval-valued setting. The sharpness and ap- plicability of the proposed findings are substantiated via carefully constructed tabular and graphical illustrations. In the application part, we introduce novel notions of stochastic divergence, stochastic H,H divergence, and R,L fractional stochastic H,H divergence within the framework of cr-[Formula: see text]-superquadratic [Formula: see text]s. In light of these formulations, we establish a series of new information-theoretic inequalities that underscore the theoretical significance and applicability of the proposed concepts, thereby engendering far-reaching generalizations and pronounced refinements of a broad spectrum of pre-existing results documented in the literature. The results presented herein not only enrich the theory of (interval-valued) [Formula: see text] stochastic processes but also provide a robust foundation for further developments in fractional stochastic analysis and information theory.","PeriodicalId":501262,"journal":{"name":"Fractals","volume":"137 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A New Fractal Derivative and Its Integral Transform Methods for Economic Models 一种新的经济模型分形导数及其积分变换方法

Fractals Pub Date : 2026-08-31 DOI: 10.1142/s0218348x26501422

Krishna Mani Nath,Bipan Hazarika

引用次数: 0

Sharp Interval Criteria for Convex Transforms of Two-Branch Self-Similar Cantor Sets 双分支自相似康托集凸变换的尖锐区间准则

Fractals Pub Date : 2026-08-31 DOI: 10.1142/s0218348x26501495

Qimeng Cheng,Zhikun Xie,Lifeng Xi

引用次数: 0