FDA Express Vol. 45, No. 1
FDA Express Vol. 45, No. 1, Oct. 31, 2022
All issues: http://jsstam.org.cn/fda/
Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: jyh17@hhu.edu.cn, fda@hhu.edu.cn
For subscription: http://jsstam.org.cn/fda/subscription.htm
PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol 45_No 1_2022.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Fractional Diffusion Equations: Numerical Analysis, Modeling and Application
◆ Books
Generalized Fractional Calculus
◆ Journals
Mechanical Systems and Signal Processing
Fractional Calculus and Applied Analysis
◆ Paper Highlight
◆ Websites of Interest
Fractal Derivative and Operators and Their Applications
Fractional Calculus & Applied Analysis
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Latest SCI Journal Papers on FDA
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A numerical method based on quadrature rules for *-fractional differential equations
By: Sabir, A and Rehman, MU
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 419 Published: Feb 2023
By:Shen, SJ; Dai, WZ; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 419 Published: Feb 2023
By: Chen, PC and Luo, Y
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume:70 Page:1783-1793 Published: Feb 2023
By:Li, Z; Li, ZK; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 70 Page:1794-1801 Published: Feb 2023
By: Ucar, S
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 419 Published: Feb 2023
Two energy stable variable-step L1 schemes for the time-fractional MBE model without slope selection
By:Wang, JD; Yang, Y and Ji, BQ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 419 Published: Feb 2023
By:Zamanpour, I and Ezzat, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:419 Published:Feb 2023
By:Babu, NR and Balasubramaniam, P
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 204 Page:282-301 Published: Feb 2023
By: Tyrylgin, A; Vasilyeva, M; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:418 Published: Jan 15 2023
By:Zhu, L; Liu, NB and Sheng, Q
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 437 Page:1-38 Published: Jan 15 2023
By:Niu, YX; Liu, Y;
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 203 Page:387-407 Published:Jan 2023
By: She, ZH; Qiu, LM and Qu, W
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 203 Page:633-646 Published: Jan 2023
An existence result for super-critical problems involving the fractional p-Laplacian in R-N
By:Wu, ZJ and Chen, HB
APPLIED MATHEMATICS LETTERS Volume: 135 Published: Jan 2023
An Adaptive Neuro-Fuzzy Inference System to Improve Fractional Order Controller Performance
By:Kanagaraj, N
INTELLIGENT AUTOMATION AND SOFT COMPUTING Volume: 35 Published: 2023
Global stabilization of uncertain nonlinear systems via fractional-order PID
By: Chen, S; Chen, TH; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 116 Page:788-798 Published: Jan 2023
By:Hui, M; Wei, C; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 116 Published: Jan 2023
On the existence of traveling fronts in the fractional-order Amari neural field model
By:Gonzalez-Ramirez, LR
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 116 Published:Jan 2023 |
Primary and secondary resonance responses of fractional viscoelastic PET membranes
By:Qing, JJ; Zhou, SS; etc.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 116 Published: Jan 2023
Local discontinuous Galerkin method for multi-term variable-order time fractional diffusion equation
By:Wei, LL and Wang, HH
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 203 Page:685-698 Published: Jan 2023
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Call for Papers
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5th International Workshop on Numerical Analysis and Applications of Fractional Differential Equations
( December 2-5, 2022 in Shenzhen, Guangdong, China)
Dear Colleagues: On behalf of the organizing committee, this is to cordially invite you to participate in the 5th International Workshop on Numerical Analysis and Applications of Fractional Differential Equations, which will be held on December 2-5, 2022 in Shenzhen, Guangdong, China. In recent years, a growing number of works by many authors from various fields of science and engineering deal with dynamical systems described by fractional differential equations (FDEs). Many computational fractional dynamic systems and their applications have been proposed. 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:
- Mathematical modelling, analytical and numerical techniques of fractional dynamic systems;
- Numerical methods and numerical analysis, such as finite difference method, finite element method, finite volume method, decomposition method, matrix method, meshless method and so on;
- Applications of fractional dynamic systems in electromagnetics, biology, environmental science, finance, signal and image processing, fluid mechanics, chemistry, physics and medicine.
Organizers:
Professor Hui Liang, Harbin Institute of Technology, Shenzhen
Professor Yanmin Zhao, Xuchang University
Professor Fawang Liu, Queensland University of Technology
Guest Editors
Important Dates:
Deadline for conference receipts: November 5, 2022.
QUT fractional research team via webpages: https://research.qut.edu.au/fractionalsystems/.
Fractional Diffusion Equations: Numerical Analysis, Modeling and Application
( A special issue of Fractal and Fractional )
Dear Colleagues: Differential equations with fractional-order derivatives have important applications in physics, chemistry, control systems, signal processing, etc. Fractional diffusion models are fundamental mathematical models for the evolution of probability densities. Analytical methods for solving such equations are rarely effective, so it is often necessary to use numerical methods.
This Special Issue will be devoted to collecting recent results on theory, numerical methods and application of fractional diffusion equations and other fractional differential equations. Topics that are invited for submission include (but are not limited to):
- Theoretical results and numerical methods for fractional diffusion equations;
- Application of fractional diffusion equations;
- Numerical methods for fractional oscillating differential equations;
- Approximation methods for nonsmooth functions;
- Numerical methods for singular integral equations;
- Models for fractional differential equations;
- Theory and numerical methods for fractional-order system identification;
- Application of fractional-order system identification.
Keywords:
- Fractional diffusion equations
- Fractional oscillating differential equations
- Nonsmooth functions
- Singular integral equations
- Fractional-order system identification
- Modeling
- Application
Organizers:
Prof. Dr. Boying Wu
Prof. Dr. Xiuying Li
Guest Editors
Important Dates:
Deadline for manuscript submissions: 20 November 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/fract_diff_equ.
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Books
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Generalized Fractional Calculus
( Authors: George A. Anastassiou )
Details:https://doi.org/10.1007/978-3-030-56962-4
Book Description:
This book deals with the quantitative fractional Korovkin type approximation of stochastic processes. Computational and fractional analysis play more and more a central role in nowadays either by themselves or because they cover a great variety of applications in the real world. The author applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities, e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact on numerical analysis, stochastics and fractional differential equations. The author continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities, and the author include also abstract cases. The author present also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The author’s results are weighted so they provide a great variety of cases and applications. The author lays there the foundations of stochastic fractional calculus. The author considers both Caputo and Conformable fractional directions, and the author derives regular and trigonometric results. Our positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.
Author Biography:
George A. Anastassiou, Department of Mathematical Sciences, University of Memphis, Memphis, USA
Contents:
Front Matter
Caputo ψ -Fractional Ostrowski Inequalities
Abstract; Introduction; Main Results; References;
Caputo ψ -Fractional Ostrowski and Grüss Inequalities Involving Several Functions
Abstract; Introduction; Background; Main Results; References;
Weighted Caputo Fractional Iyengar Type Inequalities
Abstract; Introduction; Main Results; References;
Generalized Canavati g-Fractional Iyengar and Ostrowski Inequalities
Abstract; Background—I; Main Results—I; Background—II; Main Results—II; References;
Generalized Canavati g-Fractional Polya Inequalities
Abstract; Introduction; Background; Main Results; References;
Caputo Generalized ψ -Fractional Integral Type Inequalities
Abstract; Background; Main Results; References;
Generalized ψ -Fractional Quantitative Approximation by Sublinear Operators
Abstract; Background; Main Results; Applications; References;
Generalized g-Iterated Fractional Quantitative Approximation By Sublinear Operators
Abstract; Background; Main Results; Applications; References;
Generalized g-Fractional Vector Representation Formula And Bochner Integral Type Inequalities for Banach Space Valued Functions
Abstract; Background; Main Results; References;
Iterated g-Fractional Vector Bochner Integral Representation Formulae and Inequalities for Banach Space Valued Functions
Abstract; Background; Main Results; References;
Vectorial Generalized g-Fractional Direct and Iterated Quantitative Approximation by Linear Operators
Abstract; Motivation; Background; Main Results; References;
Quantitative Multivariate Complex Korovkin Approximation Theory
Abstract; Introduction; Background; Main Results; Applications; References;
M-Fractional Integral Type Inequalities
Abstract; Introduction; Background; Main Results; References;
Principles of Stochastic Caputo Fractional Calculus with Fractional Approximation of Stochastic Processes
Abstract; Introduction; Foundation of Stochastic Fractional Calculus; Background; Main Results; Applications; References;
Trigonometric Caputo Fractional Approximation of Stochastic Processes
Abstract; Introduction; Foundation of Stochastic Fractional Calculus; Background; Main Results; Applications; Trigonometric Stochastic Korovkin Results; References;
Conformable Fractional Quantitative Approximation of Stochastic Processes
Abstract; Introduction; Background—I; Background—II; Main Results; Application; Stochastic Korovkin Results; References;
Trigonometric Conformable Fractional Approximation of Stochastic Processes
Abstract; Introduction; Background—I; Background—II; Main Results; Application; Trigonometric Conformable Fractional Stochastic Korovkin Results; References;
Commutative Caputo Fractional Korovkin Approximation for Stochastic Processes
Abstract; Introduction; Background; Preliminaries; Main Results; Application; Caputo Fractional Stochastic Korovkin Theory; References;
Trigonometric Commutative Caputo Fractional Korovkin Approximation for Stochastic Processes
Abstract; Introduction; Background—I; Preliminaries; Background—II; Main Results; Application; Commutative Trigonometric Caputo Fractional Stochastic Korovkin Results; References;
Back Matter
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Mechanical Systems and Signal Processing
(Selected)
Yujie Shen, Jie Hua, Wei Fan, Yanling Liu, Xiaofeng Yang, Long Chen Chen Ding, Chao Dang, Marcos A.Valdebenito, Matthias G.R.Faes, Matteo Broggi, Michael Beer M. Taghipour, H. Aminikhah Khushbu Agrawal, Ranbir Kumar, SunilKumar, SamirHadid, Shaher Momani Lian Lu,Wei-Xin Ren, Shi-Dong Wang Sina Etemad, Ibrahim Avci, Pushpendra Kumar, Dumitru Baleanu, Shahram Rezapour Dongliang Hu, Xiaochen Mao, Lin Han Yawei Zheng, Wen-Bin Shangguan, Xiao-Ang Liu Myong-Hyok Sin, Cholmin Sin, Song Ji, Su-Yon Kim, Yun-Hui Kang Vineet Prasad, Utkal Mehta Qiang Li,Zhenhui Ma, Hongkun Li,Xuejun Liu, Xichun Guan, Peihua Tian Zhao Feng, Min Ming, JieLing, Xiaohui Xiao, Zhi-Xin Yang, Feng Wan Fan Kong, Yixin Zhang, Yuanjin Zhang Zishuo Wang, Chunyang Wang, Lianghua Ding, Zeng Wang, Shuning Liang Jie Yuan, Yichen Ding, Shumin Fei, YangQuan Chen
Stochastic stability analysis of a fractional viscoelastic plate excited by Gaussian white noise
Parameter identification of fractional-order time delay system based on Legendre wavelet
Fractional Calculus and Applied Analysis ( Volume 25, Issue 5 ) Marianito Rodrigo Octavian Postavaru, Flavius Dragoi & Antonela Toma Tokinaga Namba, Piotr Rybka & Shoichi Sato Shibendu Mahata, Norbert Herencsar, David Kubanek & I. Cem Goknar
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation
Considerations regarding the accuracy of fractional numerical computations
Special solutions to the space fractional diffusion problem
Optimized fractional-order Butterworth filter design in complex F-plane
Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations
Christian Bender, Marie Bormann & Yana A. Butko
Dalibor Biolek, Roberto Garrappa & Viera Biolková Lassad Bennasr Kuldeep Kumar Kataria & Mostafizar Khandakar Jiuhua Hu, Anatoly Alikhanov, Yalchin Efendiev & Wing Tat Leung Zhao Guo Miao Sun & Baiyu Liu Yingzhan Wang Chung-Sik Sin, Jin-U Rim & Hyon-Sok Choe Zineb Arab & Mahmoud Mohamed El-Borai Xiang Liu & Yongguang Yu Zhao Yang Wang, Hong Guang Sun, Yan Gu & Chuan Zeng Zhang Amadou Diop Anupam Das, Bipan Hazarika & Bhuban Chandra Deuri Maja Jolić, Sanja Konjik & Darko Mitrović ======================================================================== Paper Highlight Characterization of chloride ions diffusion in concrete using fractional Brownian motion run with power-law clock
Impulse response of commensurate fractional-order systems: multiple complex poles
Skellam and time-changed variants of the generalized fractional counting process
Partially explicit time discretization for time fractional diffusion equation
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods
The sliding method for fractional Laplacian systems d
Strichartz’s Radon transforms for mutually orthogonal affine planes and fractional integrals
Initial-boundary value problems for multi-term time-fractional wave equations
Wellposedness and stability of fractional stochastic nonlinear heat equation in Hilbert space
A scale-dependent hybrid algorithm for multi-dimensional time fractional differential equations
Shengjie Yan, Yingjie Liang and Wei Xu
Publication information: Fractals : August 2022.
https://doi.org/10.1142/S0218348X22501778
Abstract
In this paper, we propose a revised fractional Brownian motion run with a nonlinear clock (fBm-nlc) model and utilize it to illustrate the microscopic mechanism analysis of the fractal derivative diffusion model with variable coefficient (VC-FDM). The power-law mean squared displacement (MSD) links the fBm-nlc model and the VC-FDM via the two-parameter power law clock and the Hurst exponent is 0.5. The MSD is verified by using the experimental points of the chloride ions diffusion in concrete. When compared to the linear Brownian motion, the results show that the power law MSD of the fBm-nlc is much better in fitting the experimental points of chloride ions in concrete. The fBm-nlc clearly interprets the VC-FDM and provides a microscopic strategy in characterizing different types of non-Fickian diffusion process with more different nonlinear functions.
Keywords Mean squared displacement; Anomalous diffusion; Fractal derivative;Fractional Brownian Motion; Nonlinear clock
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Dynamics of a new modified self-sustained biological trirythmic system with fractional time-delay feedback under correlated noise
R. Mbakob Yonkeu, B. A. Guimfack, C. B. Tabi, A. Mohamadou & T. C. Kofané
Publication information: Nonlinear Dynamics : Published: 19 October 2022.
https://doi.org/10.1007/s11071-022-07983-6
Abstract The dynamics of a new modified Van der Pol (VDP) self-sustained oscillator, driven by fractional time-delay feedback under correlated noise, is addressed in this paper. The studied system presents a tristability mode with the coexistence of three stable limit cycles in the deterministic case. Under the generalized harmonic balance technique, the fractional derivative simultaneously includes an equivalent quasi-linear dissipative force and quasi-linear restoring force, which reduces the whole problem to an equivalent VDP equation without a fractional derivative. The stochastic averaging method investigates analytical solutions for the equivalent stochastic equation. The critical parametric conditions for stochastic P-bifurcation of amplitude are obtained via the singularity theory for the system switch among the three steady states. The analytical solutions are confronted with direct numerical simulations, in a process where the dynamical features of the system are characterized using the stationary probability density function (PDF) of amplitude and joint PDF of displacement and velocity. A satisfactory agreement is obtained between both approaches, therefore confirming the accuracy of the theoretical predictions. Changing the fractional order, the fractional coefficient, the time delay parameter, and the correlation time also appears to induce the occurrence of the stochastic P-bifurcation. Keywords Trirhythmic self-sustained system; Correlated noise; Fractional-order; Time-delay feedback; Fractional coefficient; Equivalent stochastic system; Stochastic bifurcation ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
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