FDA Express Vol. 44, No. 3, Sep. 30, 2022
FDA Express Vol. 44, No. 3, Sep. 30, 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 44_No 3_2022.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
World Congress IFAC 2023 - Fractional orderdifferentiation in modeling and control
Fractional Differential Equations: Stability Analysis and Applications
◆ Books
Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
◆ Journals
Advances in Nonlinear Analysis
◆ Paper Highlight
On the existence of traveling fronts in the fractional-order Amari neural field model
◆ Websites of Interest
Fractal Derivative and Operators and Their Applications
Fractional Calculus & Applied Analysis
========================================================================
Latest SCI Journal Papers on FDA
－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
By: Tran, MP and Nguyen, TN
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 69 Published: Feb 2023
The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain
By:Xu, XJ; Zhong, YY and Zhu, N
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume: 69 Published: Feb 2023
By: Li, Q; Ma, ZH; etc.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING Volume:184 Published: Feb 1 2023
Transmission of Nipah virus dynamics under Caputo fractional derivative
By:Evirgen, F
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 418 Published: Jan 15 2023
A second order numerical method for the time-fractional Black-Scholes European option pricing model
By: Kazmi, K
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 418 Published: Jan 15 2023
By:Geng, WW; Wang, Y; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 70 Page: 155-166 Published: Jan 2023
By:Nirmalapriya, G; Agalya, V; etc.
BIOMEDICAL SIGNAL PROCESSING AND CONTROL Volume:79 Published:Jan 2023
Electrode-brain interface fractional order modelling for brain tissue classification in SEEG
By:Machado, MMP; Voda, A; etc.
BIOMEDICAL SIGNAL PROCESSING AND CONTROL Volume: 79 Published: Jan 2023
By: Yang, ZY; Zhang, J; etc.
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:203 Page:910-925 Published: Jan 2023
On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions
By:Lo, CWK and Rodrigues, JF
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 5 Page:1-38 Published: 2023
By:Pandey, D; Pandey, RK and Agarwal, RP
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 203 Page:28-43 Published:Jan 2023
Some evaluations of the fractional p-Laplace operator on radial functions
By: Colasuonno, F; Ferrari, F; etc.
MATHEMATICS IN ENGINEERING Volume: 5 Published: 2023
Numerical treatment of some fractional nonlinear equations by Elzaki transform
By:Abd Elmohmoud, EM and Mohamed, MZ
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 16 Page:774-787 Published: Dec 31 2022
By:Yao, XX
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 516 Published: Dec 15 2022
Well-posedness and regularity of some stochastic time-fractional integral equations in Hilbert space
By: Arab, Z and Tunc, C
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 16 Page:788-798 Published: Dec 31 2022
By:Yadav, MP; Agarwal, R; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 30 Page:598-608 Published: Dec 31 2022
By:Talib, I; Raza, A; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 16 Page: 608-620 Published:Dec 31 2022 |
By:Ibrahim, RW and Baleanu, D
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 16 Page: 432-441 Published: Dec 31 2022
By:Patel, HR and Shah, VA
AUTOMATIKA Volume: 63 Page:656-675 Published: Dec 2 2022
==========================================================================
Call for Papers
－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
World Congress IFAC 2023 - Fractional orderdifferentiation in modeling and control
( 09-14 July 2023, in Yokohama, Japan)
Dear Colleagues: Fractional (or non-integer) differentiation has played a very important role in various fields notably in signal and image processing and control theory. In these last fields, important considerations such as modeling, system identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. It is expected that such an open invited track will attract new researchers regarding the growing research and developments on fractional calculus in the areas of mathematics, physics, engineering and particularly in automatic control.
Keywords:
- Signal analysis and filtering with fractional tools (restoration, reconstruction, analysis of fractal noises)
- Fractional modeling especially of (but not limited to) thermal systems, electrical systems (motors, transformers, skin effect, etc.), dielectric materials, electrochemical systems (batteries, ultracapacitors, fuel cells, etc.), mechanical systems (vibration insulation, viscoelastic materials, etc.), biological systems (muscles, lungs, etc.)
- Fractional system identification (linear, nonlinear, multivariable methods, etc.)
- Implementation aspects (fractional controllers and filters implementation, etc.)
- Systems analysis (stability, observability, controllability, etc.)
- Control (Fractional PID, CRONE, H∞, etc.)
- Diagnosis of fractional systems
- Fractal structures, porous materials, etc.
- Applications (mechatronics, automotive, medical/biological systems,…)
Organizers:
Stéphane VICTOR, University of Bordeaux
Pierre MELCHIOR, Bordeaux INP/Enseirb-Matmeca
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 October 2022.
All details on this conference are now available at: https://www.ifac2023.org/.
Fractional Differential Equations: Stability Analysis and Applications
( A special issue of Fractal and Fractional )
Dear Colleagues: The theoretical foundations of fractional calculus were established centuries ago; in fact, this research area has existed alongside traditional calculus since Leibniz and Newton first defined derivative and integral operators.
However, the last several decades have seen a surge in the development and investigation of fractional-order systems, as it was discovered that fractional-order differential equations or their systems can be used to describe a variety of real-world phenomena. In terms of practical applications, a growing number of studies highlight the advantages of fractional-order differential or difference equations over integer-order modeling, particularly in fields such as engineering systems, heat transfer, gas exchange, and water transfer via porous materials. The main argument is that fractional-order derivatives reflect both the memory and heredity properties of real-world systems.
Therefore, this Special Issue will focus on the latest developments in the field of fractional differential equations and their systems. Investigators in the field are invited to present their original, unpublished papers on both theoretical and applied areas.
Topics of interest should include (but are not limited to):
- Analysis of solutions of fractional differential equations and fractional-order systems.
- Stability analysis of fractional differential equations and systems.
- Numerical methods for fractional differential equations.
- Applications of fractional differential equations in diverse scientific areas.
Keywords:
- Fractional differential equations
- Fractional-order systems
- Stability analysis
- Fractional-order derivative
- Solutions of fractional differential equations
- Numerical methods
Organizers:
Dr. Oana Brandibur
Dr. Eva Kaslik
Guest Editors
Important Dates:
Deadline for manuscript submissions: 30 October 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/FDESAA.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
( Authors: George A. Anastassiou )
Details:https://doi.org/10.1007/978-3-319-89509-3
Book Description:
This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and multivariate cases. It also explores approximations under convexity and a new trend in approximation theory –approximation by sublinear operators with applications to max-product operators, which are nonlinear and rational providing very fast and flexible approximations. The results presented have applications in numerous areas of pure and applied mathematics, especially in approximation theory and numerical analysis in both ordinary and fractional senses. As such this book is suitable for researchers, graduate students, and seminars of the above disciplines, and is a must for all science and engineering libraries.
Author Biography:
George A. Anastassiou, Department of Mathematical Sciences, University of Memphis, Memphis, USA
Contents:
Front Matter
Approximation by Positive Sublinear Operators
Abstract; Introduction; Main Results; Applications; References;
High Order Approximation by Max-Product Operators
Abstract; Introduction; Main Results; References;
Conformable Fractional Approximations Using Max-Product Operators
Abstract; Introduction; Background; Main Results; Applications; References;
Caputo Fractional Approximation Using Positive Sublinear Operators
Abstract; Introduction; Main Results; Applications; References;
Canavati Fractional Approximations Using Max-Product Operators
Abstract; Introduction; Main Results; Applications; References;
Iterated Fractional Approximations Using Max-Product Operators
Abstract; Introduction; Main Results; Applications, Part A; Applications, Part B; References;
Mixed Conformable Fractional Approximation Using Positive Sublinear Operators
Abstract; Introduction; Background; Main Results; Applications, Part A; Applications, Part B; References;
Approximation of Fuzzy Numbers Using Max-Product Operators
Abstract; Background; Main Results; References;
High Order Approximation by Multivariate Sublinear and Max-Product Operators
Abstract; Background; Main Results; References;
High Order Approximation by Sublinear and Max-Product Operators Using Convexity
Abstract; Background; Main Results; References;
High Order Conformable Fractional Approximation by Max-Product Operators Using Convexity
Abstract; Background; Main Results; Applications; References;
High Order Approximation by Multivariate Sublinear and Max-Product Operators Under Convexity
Abstract; Background; Main Results; References;
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
(Selected)
Kishor D.Kucche, Ashwini D.Mali, ArranFernandez, Hafiz Muhammad Fahad Zulqurnain Sabir, Salem Ben Said, Dumitru Baleanu M. Taghipour, H. Aminikhah Khushbu Agrawal, Ranbir Kumar, SunilKumar, SamirHadid, Shaher Momani Wang Mei-Qi, Ma Wen-Li, Li Yuan, Chen En-Li, Liu Peng-Fei, Zhang Ming-Zhi Sina Etemad, Ibrahim Avci, Pushpendra Kumar, Dumitru Baleanu, Shahram Rezapour Martin Bohner, Jagan Mohan Jonnalagadda Naveed Ishtiaq Chaudhary, Zeshan Aslam Khan, Adiqa Kausar Kiani, Muhammad Asif Zahoor Raja, Iqra Ishtiaq Chaudhary, Carla M.A.Pinto B. Meftah, A. Souahi, M. Merad N. Vieira, M. Ferreira, M. M. Rodrigues M. H. Heydari, M. Razzaghi, J. Rouzegar N. Ramesh Babu, P. Balasubramaniam Hassen Arfaoui, Abdellatif Ben Makhlouf Manal Alqhtani, Kolade M. Owolabi, Khaled M.Saad, Edson Pindza Ali Durdu, Yılmaz Uyaroğlu
Bernoulli wavelet method for non-linear fractional Glucose–Insulin regulatory dynamical system
Dynamic analysis of piecewise nonlinear systems with fractional differential delay feedback control
Discrete fractional cobweb models
Time-fractional telegraph equation with ψ-Hilfer derivatives
Stability of a fractional advection–diffusion system with conformable derivative
Advances in Nonlinear Analysis ( Selected ) Josef Diblík Guangze Gu and Zhipeng Yang Qi Han Jamil Chaker and Minhyun Kim Jun Wang Wen Zhang, Shuai Yuan and Lixi Wen Jing Na Wang, Ahmed Alsaedi, Bashir Ahmad and Yong Zhou Wenhua Yang and Jun Zhou Mengfei Tao and Binlin Zhang Jia Wei He, Yong Zhou, Li Peng and Bashir Ahmad engtao Li and Zhichun Zhai Quanqing Li and Wenming Zou Xiaoqiang Dai, Jiangbo Han, Qiang Lin and Xueteng Tian Fangfang Liao and Wen Zhang Salvatore Leonardi, Francesco Leonetti, Eugenio Rocha and Vasile Staicu Zeyi Liu, Lulu Tao, Deli Zhang, Sihua Liang and Yueqiang Song Josef Diblík, Denys Ya Khusainov, Andriy Shatyrko, Jaromír Baštinec and Zdeněk Svoboda Shuai Zhou, Zhisu Liu and Jianjun Zhang ======================================================================== Paper Highlight A novel Fourier-based meshless method for (3+1)-dimensional fractional partial differential equation with general time-dependent boundary conditions
Bounded solutions to systems of fractional discrete equations
On the singularly perturbation fractional Kirchhoff equations: Critical case
Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction
Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem
Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities
On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
Anomalous pseudo-parabolic Kirchhoff-type dynamical model
New asymptotically quadratic conditions for Hamiltonian elliptic systems
Critical nonlocal Schrödinger-Poisson system on the Heisenberg group
Absolute Stability of Neutral Systems with Lurie Type Nonlinearity
Ji Lin, Yitong Xu, Sergiy Reutskiy, Jun Lu
Publication information: Applied Mathematics Letters: Volume 135, January 2023.
https://doi.org/10.1016/j.aml.2022.108441
Abstract The article presents the novel Fourier-based meshless technique for solving (3+1)-dimensional fractional partial differential equation with coefficients varying in time under time-dependent boundary conditions of the general form. We transform the original equation into the one with homogeneous boundary conditions using a smooth analytical function and apply the Fourier expansion over the system of eigenfunctions of the Laplace operator corresponding to the zero boundary conditions which are solved independently using the semi-analytical backward substitution technique with the Müntz polynomial basis. The proposed method also can be used to solve problems of the integer orders or stationary ones where the Fourier expansion technique is suitable. The accuracy and efficiency of the mentioned procedure are demonstrated by solving high orders fractional equations. Keywords Time fractional equation; Fourier method; Müntz polynomial basis; Backward substitution method; Meshless method －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
On the existence of traveling fronts in the fractional-order Amari neural field model
L.R.González-Ramírez
Publication information: Communications in Nonlinear Science and Numerical Simulation : Volume 116, January 2023.
https://doi.org/10.1016/j.cnsns.2022.106790
Abstract In this work, we establish the existence of traveling fronts in a fractional-order formulation of the Amari neural field model. Fractional-order models act as a memory index of the underlying dynamical system. Therefore, in a fractional-order neural field model, we potentially incorporate the effect of neuronal collective memory. Considering Caputo’s fractional derivative framework and a fractional-order of 0≤α ≤ 1, we establish explicit front solutions that allow us to analyze frontspeed and frontshape features directly. Furthermore, considering an exponential synaptic connectivity kernel, we find a bifurcation on the effect of fractional-order on front features. In particular, we find the existence of a critical synaptic threshold,k*, that qualitatively modifies the effect of fractional order on frontspeed. Below this critical threshold, fractional-order increases frontspeed whereas, above this threshold, fractional-order decreases frontspeed. In particular, less fractional-order implies a more substantial impact on frontspeed (either by increasing or decreasing frontspeed). Also, we find that lower fractional orders imply, in general, a slower power-law tendency towards the excited state. Therefore, our results establish the presence of different dynamics in the propagation of spatio-temporal patterns on neural fields due to the incorporation of a fractional-order framework and a potential memory index. Topics Fractional-order derivative Amari model; Traveling fronts; Caputo derivative; Neural fields; ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
苏公网安备 32010602010395