FDA Express Vol. 53, No. 1
FDA Express Vol. 53, No. 1, Oct. 31, 2024
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Institute of Soft Matter Mechanics, Hohai University
For contribution: jyh17@hhu.edu.cn, fda@hhu.edu.cn
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Applications of Fractional-Order Tools in Engineering Technology and Physical Processes
◆ Books ◆ Journals Fractional Calculus and Applied Analysis ◆ Paper Highlight
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Jornet, M and Nieto, JJ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:457 Published: Mar 15 2025
By:Wang, JW; Xiong, WL; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume: 488 Published:Mar 1 2025
By:Xin, Y; Zhang, Y; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume:487 Published: Feb 15 2025
By:Alam, KH and Rohen, Y
COMPUTATIONAL & APPLIED MATHEMATICS Volume: 44 Published: Feb 2025
Infinitesimal Prolongation for Fractional Derivative Ψ-Caputo Variable Order and Applications
By:Soares, CA, Jr; Costa, FS and Sousa, JVC
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 24 Published: Feb 2025
By:Narayanan, G; Ahn, S; etc.
EXPERT SYSTEMS WITH APPLICATIONS Volume:261 Published:Feb 1 2025
Chaos-driven detection of methylene blue in wastewater using fractional calculus and laser systems
By:Martínez-Ayala, L; Bornacelli, J; etc.
MEASUREMENT SCIENCE AND TECHNOLOGY Volume:36 Published:Jan 31 2025
Characterization of solutions in Besov spaces for fractional Rayleigh-Stokes equations
By:Peng, L and Zhou, Y
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume:140 Published: Jan 2025
By:Younis, M; Ahmad, H; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 110 Pages:363-375 Published: Jan 2025
Fractional-order spike-timing-dependent gradient descent for multi-layer spiking neural networks
By:Yang, Y; Voyles, RM; etc.
NEUROCOMPUTING Volume:611 Published: Jan 1 2025
On stochastic fractional differential variational inequalities general system with Lévy jumps
By:Ceng, LC; Huan, X; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 140 Published: Jan 2025
By: Mehri, A; Bouhadjera, H; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 110 Pages:186-192 Published: Jan 2025
By:Kaur, M; Sondhi, S and Yanumula, VK
ALEXANDRIA ENGINEERING JOURNAL Volume:110 Pages:203-214 Published: Jan 2025
By:Tan, C; Liang, Y; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 140 Published:Jan 2025
By:Odibat, Z etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 140 Published: Jan 2025
By:Xu, F; Chen, J; etc.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING Volume:224 Published: Jan 1 2025
By:Rodrigues, R; Alazard, D; etc.
APPLIED MATHEMATICAL MODELLING Volume: 137 Published:Jan 2025
By:Mohammed, PO; Srivastava, HM; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 30 Pages:626-639 Published: Dec 31 2024
By:Zhu, YL; Zhang, Y; etc.
JOURNAL OF NATURAL FIBERS Volume: 21 Published:Dec 31 2024
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
The 6th International Workshop on Numerical Analysis and Applications of Fractional Differential Equations
( November 8 - 11, 2024 in Fuzhou, Fujian, China. )
Dear Colleagues: The aims of this international workshop are to foster communication among researchers and practitioners who are interested in this field, introduce new researchers to the field, present original ideas, report state-of-the-art and in-progress research results, discuss future trends and challenges, establish computational fractional dynamic systems and other cross-disciplines.
Keywords:
- Fractional dynamic systems
- Numerical methods and numerical analysis
- Applications of fractional dynamic systems
- Finite difference method, finite element method, finite volume method, decomposition method, matrix method, meshless method
Organizers:
Professor Yongjing Liu
Associate Professor Ming Shen&Hongmei Zhang
Dr. Mengchen Zhang
Important Dates:
Deadline for conference receipts: 10 October 2024.
Applications of Fractional-Order Tools in Engineering Technology and Physical Processes
( A special issue of Fractal and Fractional )
Dear Colleagues: Fractional calculus has emerged as a viable tool for modeling and understanding a larger class of physical systems and engineering processes. On the one hand, fractional-order operators allow memory properties to be accounted for when studying a broader class of phenomena on a deeper level. On the other hand, these inherent properties of fractional-order systems result of interest for the design of advanced control methodologies, with greater flexibility and precision.
Fractional-order techniques can also be regarded as extensions of conventional integer-order tools, with local memory properties. For that reason, additional generalizations are currently under active research, as their implementations in the control loops are necessary to improve the controlled system response. Among these techniques, one can consider distributed- and variable-order derivatives and integrals, although additional generalizations are available in the literature, and further studies are underway.
This Special Issue aims to present outstanding and recent studies on the applications of fractional-order tools in modeling and control of physical processes and engineering systems. Manuscripts related, but not limited, to the robot control, autonomous vehicles, neural networks, fuzzy logics, advanced materials, and energy management, which use fractional-order tools, are welcome. Researchers in these mentioned fields are invited to contribute original unpublished manuscripts. Both research and review papers are welcome.
Keywords:
- Fractional calculus
- Robotic systems
- Fractional neural networks
- Fractional fuzzy logics
- Synchronization of fractional systems
- Fractional PID
- Fractional sliding mode control
Organizers:
Dr. Aldo Jonathan Muñoz–Vázquez
Prof. Dr. Guillermo Fernández-Anaya
Prof. Dr. Salah Mahmoud Boulaaras
Dr. Moussa Labbadi
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 November 2024.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/6E68B8K4V4.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Yuriy Povstenko )
Details:https://doi.org/10.1007/978-3-031-64587-7 Book Description: This new edition offers expanded coverage of fractional calculus, including Riemann–Liouville fractional integrals, Riemann–Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler and Wright functions. Additionally, it provides a comprehensive examination of fractional heat conduction and related theories of thermoelasticity. Readers will gain insights into the concepts of time and space nonlocality and their impact on the generalizations of Fourier's law in thermoelasticity. This edition presents a detailed formulation of the problem of heat conduction in different domains and the associated thermal stresses, covering topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have also been added. Cracks in the framework of fractional thermoelasticity are also considered.
Author Biography:
Yuriy Povstenko, Department of Mathematics and Computer Science, Jan Długosz University, Częstochowa, Poland
Contents:
Front Matter
Essentials of Fractional Calculus
Fractional Heat Conduction and Related Theories of Thermoelasticity
Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Polar Coordinates
Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Spherical Coordinates
Thermoelasticity Based on Space-Time-Fractional Heat Conduction Equation
Thermoelasticity Based on Fractional Telegraph Equation
Fractional Thermoelasticity of Thin Shells
Fractional Advection-Diffusion Equation and Associated Diffusive Stresses
Cracks in the Framework of Fractional Thermoelasticity
Fractional Nonlocal Elasticity
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ (Selected) Jianxiong Cao, Wenhao Xu Sen Xu, Jie Ding, Min Xiao Xuyan Jiang, Zhiyuan Li Xindong Zhang, Yuelong Feng, etc. Paola Loreti, Daniela Sforza Lin Liu, Sen Zhang, etc. Marc Jornet, Juan J. Nieto Lanyu Qing, Xiaolin Li, etc. Fanmeng Meng, Xian-Feng Zhou, Sen Wang Linlin Bu, Rui Li, etc. Wei Feng, Pengyu Chen X. Y. Li, B. Y. Wu, X. Y. Liu Antonio M. Vargas Hong Du, Zhong Chen Peter D. Hislop, Éric Soccorsi Fractional Calculus and Applied Analysis ( Volume 27, Issue 5 ) Oleg Marichev, Elina Shishkina R. Hilfer, T. Kleiner Yiheng Wei, Linlin Zhao, Xuan Zhao & Jinde Cao Mirko D’Ovidio Laura Gambera, Salvatore Angelo Marano & Dumitru Motreanu Manuel D. Ortigueira João R. Cardoso Ivan Matychyn, Viktoriia Onyshchenko Khaoula Bouguetof, Zaineb Mezdoud, Omar Kebiri & Carsten Hartmann T. S. Doan & P. E. Kloeden Zhongkai Guo, Xiaoying Han & Junhao Hu Jicheng Yu & Yuqiang Feng Fan Yang, Ying Cao & XiaoXiao Li Jamilu Hashim Hassan, Nasser-eddine Tatar & Banan Al-Homidan ======================================================================== Paper Highlight A space fractal derivative crack model for characterizing chloride ions superdiffusion in concrete in the marine tidal zone Shengjie Yan, Yao Liu, Yingjie Liang
A hybrid fractional order LMS algorithm for power system harmonic estimation
Unique inversion of orders and potential for multi-term time fractional wave equations
A spatial sixth-order numerical scheme for solving fractional partial differential equation
Foundation of the time-fractional beam equation
Power-series solution of the L-fractional logistic equation
Meshless analysis of fractional diffusion-wave equations by generalized finite difference method
A new space-fractional modified phase field crystal equation and its numerical algorithm
Non-autonomous fractional nonlocal evolution equations with superlinear growth nonlinearities
Solving a fractional chemotaxis system with logistic source using a meshless method
A new method of solving the Riesz fractional advection–dispersion equation with nonsmooth solution
Asymptotic analysis of time-fractional quantum diffusion
Overview of fractional calculus and its computer implementation in Wolfram Mathematica
Fractional calculus for distributions
Fractional difference inequalities for possible Lyapunov functions: a review
Fractional boundary value problems and elastic sticky brownian motions
Dirichlet problems with fractional competing operators and fractional convection
Computing the Mittag-Leffler function of a matrix argument
Fractional differential equation on the whole axis involving Liouville derivative
Attractors of Caputo semi-dynamical systems
Group classification of time fractional Black-Scholes equation with time-dependent coefficientsn
Mittag-Leffler stability and Lyapunov stability for a problem arising in porous media
Publication information: Construction and Building Materials 2024(45),October 2024
https://doi.org/10.1016/j.conbuildmat.2024.138585 Abstract In this work, a space fractal derivative model incorporating a variable diffusion coefficient is established to characterize chloride superdiffusion in cracked concrete structures. To validate the proposed model, experimental data involving chloride ion diffusion in cracked mortar prisms and cracked concrete specimens situated in the marine tidal zone were used. These experiments encompassed a spectrum of four distinct crack widths. Compared with the classical Fickian diffusion model, the fractal derivative model demonstrates superior fitting capabilities for experimental data, which provides an effective tool to characterize the intricate process of chloride ion superdiffusion in concrete, especially for larger spatial scales and crack widths. Furthermore, the relationships between crack width, diffusion coefficient, and space scaling factor are quantified. This quantification facilitates the determination of essential physical parameters, which empowers the forecasting of a broad spectrum of future scenarios pertaining to reinforced concrete structures situated in cracked cement concrete matrices. These results are significant for understanding of concrete durability and the implications for practical engineering applications. Highlights This study proposes a space fractal crack model to characterize chloride ions superdiffusion in concrete in the marine tidal zone. －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Paula Cambeses-Franco, Ramón Rial, Juan M. Ruso Publication information: Physics of Fluids 36, 073101 (2024). Abstract This study presents a novel method for comprehending the rheological behavior of biomaterials utilized in bone regeneration. The focus is on gelatin, alginate, and hydroxyapatite nanoparticle composites to enhance their mechanical properties and osteoconductive potential. Traditional rheological models are insufficient for accurately characterizing the behavior of these composites due to their complexity and heterogeneity. To address this issue, we utilized fractional calculus rheological models, such as the Scott-Blair, Fractional Kelvin-Voigt, Fractional Maxwell, and Fractional Kelvin-Zener models, to accurately represent the viscoelastic properties of the hydrogels. Our findings demonstrate that the fractional calculus approach is superior to classical models in describing the intricate, time-dependent behaviors of the hydrogel-hydroxyapatite composites. Furthermore, the addition of hydroxyapatite not only improves the mechanical strength of hydrogels but also enhances their bioactivity. These findings demonstrate the potential of these composites in bone tissue engineering applications. The study highlights the usefulness of fractional calculus in biomaterials science, providing new insights into the design and optimization of hydrogel-based scaffolds for regenerative medicine. Topics Hydrogels, Biomaterials, Fractional calculus, Nanoparticle, Rheological properties, Viscoelastic properties, Tissue engineering ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
The results show that the space fractal crack model can well fit the data across varying crack widths.
The space fractal crack model is feasible for describing the rapid chloride diffusion phenomenon within cracked concrete, particularly at larger spatial scales and wider crack widths.
Integrating classical and fractional calculus rheological models in developing hydroxyapatite-enhanced hydrogels
https://doi.org/10.1063/5.0213561
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