FDA Express Vol. 42, No. 1, Jan. 31, 2022
FDA Express Vol. 42, No. 1, Jan. 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 42_No 1_2022.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Numerical Simulation of Fractional Dynamic Systems and Applications
Fractional-Order System: Control Theory and Applications
◆ Books
Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
◆ Journals
Mechanical Systems and Signal Processing
◆ Paper Highlight
From continuous-time random walks to the fractional Jeffreys equation: Solution and properties
◆ 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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Hardy and Poincare inequalities in fractional Orlicz-Sobolev spaces
By: Bal, K; Mohanta, K; Roy, P; Sk, F
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS Volume: 216 Published: MAR 2022
Solution of a fractional logistic ordinary differential equation
By: Nieto, JJ
APPLIED MATHEMATICS LETTERS Volume: 123 Published: JAN 2022
Caputo-Hadamard fractional Halanay inequality
By: He, BB and Zhou, HC
APPLIED MATHEMATICS LETTERS Volume: 125 Published: Mar 2022
Univariate simultaneous high order abstract fractional monotone approximation with applications
By: Anastassiou, GA
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS Volume: 116 Published: APR 2022
By: Macias-Diaz, JE
APPLIED NUMERICAL MATHEMATICS Volume: 172 Published: FEB 2022
Solution of fuzzy fractional order differential equations by fractional Mellin transform method
By: Azhar, N and Iqbal, S
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 400 Published: Jan 15 2022
By:Udhayakumar, K; Rihan, FA; Rakkiyappan, R; Cao, JD
NEURAL NETWORKS Volume:145 Page: 319-330 Published: JAN 2022
A unified approach for novel estimates of inequalities via discrete fractional calculus techniques
By: Naz, S and Chu, YM
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 847-854 Published: Jan 2022
Initial value problem for hybrid psi-Hilfer fractional implicit differential equations
By: Salim, A; Benchohra, M; Graef, JR; Lazreg, JE
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS Volume: 24 Published: FEB 2022
By: Belevtsov, NS and Lukashchuk, SY
APPLIED MATHEMATICS AND COMPUTATION Volume: 416 Published: Mar 1 2022
A note on stability of fractional logistic maps
By:Mendiola-Fuentes, J and Melchor-Aguilar, D
APPLIED MATHEMATICS LETTERS Volume: 125 Published: Mar 2022
A reproducing kernel method for nonlinear C-q-fractional IVPs
By: Yu, Y; Niu, J; Zhang, J; Ning, SY
APPLIED MATHEMATICS LETTERS Volume: 125 Published: MAR 2022
On a cascade system of Schrodinger equations. Fractional powers approach
By:Belluzi, M; Nascimento, MJD and Schiabel, K
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Volume: 506 Page: 269-279 Published: Feb 1 2022
Analysis of a hidden memory variably distributed-order space-fractional diffusion equation
By: Jia, JH and Wang, H
APPLIED MATHEMATICS LETTERS Volume: 124 Published: Feb 2022
Higher order numerical schemes for the solution of fractional delay differential equations
By: Gande, NR and Madduri, H
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 402 Published: Mar 1 2022
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations
By: Candelario, G; Cordero, A; Torregrosa, JR; Vassileva, MP
APPLIED MATHEMATICS LETTERS Volume: 124 Published: FEB 2022
By:Ng, YX; Phang, C; Loh, JR;Isah, A
AIMS MATHEMATICS Volume: 22 Published: 2022
Finite difference method for solving fractional differential equations at irregular meshes
By:Vargas, AM
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 193 Page:204-216 Published: MAR 2022
Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations
By: Lan, KQ
JOURNAL OF DIFFERENTIAL EQUATIONS Volume:306 Published: Jan 5 2022
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Call for Papers
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Numerical Simulation of Fractional Dynamic Systems and Applications
( A special issue of Mathematics )
Dear Colleagues: In recent years, a growing number of authors’ works from various science and engineering fields have dealt with dynamical systems described by fractional partial differential equations (FPDE), with many computational fractional dynamic systems and their applications having been proposed. The aims of this Special Issue are to foster communication among interested researchers and practitioners, introduce new researchers to the field, present original ideas, report state-of-the-art and in-progress research results, discuss future trends and challenges, and establish the Numerical Simulation of Fractional Dynamic Systems and other cross-disciplines.
The topics of this Special Issue include, but are not limited to:
The mathematical modelling of fractional dynamic systems and analytical and numerical techniques to solve these systems;
Numerical methods and analyses such as finite difference, finite element, finite volume, decomposition, matrix, meshless, etc.;
Applications of fractional dynamic systems in electromagnetics, biology, environmental science, finance, signal and image processing, fluid mechanics, chemistry, physics, and medicine.
Keywords:
- Numerical methods
- Fractional dynamic systems
- Mathematical modelling
- Mathematical applications
Organizers:
Prof. Dr. Fawang Liu
Prof. Dr. Yanmin Zhao
Guest Editors
Important Dates:
Deadline for manuscript submissions: 31 December 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/mathematics/special_issues/Numerical_Simulation_Fractional_Dynamic_Systems_Applications.
Fractional-Order System: Control Theory and Applications
( A special issue of Fractal and Fractional )
Dear Colleagues: In the last two decades, fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electrochemistry, and many other fields, opening a new and more realistic way to capture memory-dependent phenomena and irregularities inside systems using more sophisticated mathematical analysis.
As a result of the growing applications, the study of stability of fractional differential equations has attracted much attention. Furthermore, in recent years, an increasing amount of attention has been given to fractional-order controllers. Some of these applications include optimal control, CRONE controllers, fractional PID controllers, lead-lag compensators, and sliding mode control.
The focus of this Special Issue is to continue to advance research on topics relating to fractional-order control theory and its applications to practical systems modeled using fractional-order differential equations such as design, implementation, and application of fractional-order control to electrical circuits and systems, mechanical systems, chemical systems, biological systems, finance systems, etc.
Topics that are invited for submission include (but are not limited to):
- Fractional-order control theory for fractional-order systems;
- Fractional-order control theory for integer-order systems
- Lyapunov-based stability and stabilization of fractional-order systems;
- Feedback linearization-based controller and observer design for fractional-order systems;
- Digital implementation of fractional-order control;
- Sliding mode control of fractional-order systems;
- Finite, fixed, and predefined-time stability and stabilization of fractional-order systems;
- Interval observer and set-membership design for fractional-order systems;
- High-gain based observers and differentiator design for fractional-order systems;
- Event-based control of fractional-order systems;
- Incremental stability of fractional-order systems;
- Control of non-minimum phase systems using fractional-order theory;
- New physical interpretation of fractional-order operators and their relationship to control design;
- Design and development of efficient battery management and state of heath estimation using fractional-order calculus;
- Applications of fractional-order control to electrical, mechanical, chemical, finance, and biological systems;
- Verification and reachability analysis of fractional-order differential equations.
Keywords:
- Fractional-order control theory
- Fractional-order controllers, observers, and differentiator design
- Event-based control of fractional-order systems
- Lyapunov analysis of fractional-order differential equations
- Fractional differential equations
- Fractional variational problems and fractional control problems
- Analytical and computational methods for fractional-order systems
Organizers:
Dr. Thach Ngoc Dinh
Dr. Shyam Kamal
Dr. Rajesh Kumar Pandey
Guest Editor
Important Dates:
Deadline for manuscript submissions: 8 February 2022.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/foscta.
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Books
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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
Chapter; Abstract; Introduction; Main Results; Applications; References; Copyright information; About this chapter;
High Order Approximation by Max-Product Operators
Chapter; Abstract; Introduction; Main Results; References; Copyright information; About this chapter;
Conformable Fractional Approximations Using Max-Product Operators
Chapter; Abstract; Introduction; Background; Main Results; Applications; References; Copyright information; About this chapter;
Caputo Fractional Approximation Using Positive Sublinear Operators
Chapter; Abstract; Introduction; Main Results; Applications; References; Copyright information; About this chapter;
Canavati Fractional Approximations Using Max-Product Operators
Chapter; Abstract; Introduction; Main Results; Applications; References; Copyright information; About this chapter;
Iterated Fractional Approximations Using Max-Product Operators
Chapter; Abstract; Introduction; Main Results; Applications, Part A; Applications, Part B; References; Copyright information; About this chapter;
Mixed Conformable Fractional Approximation Using Positive Sublinear Operators
Chapter; Abstract; Introduction; Background; Main Results; Applications, Part A; Applications, Part B; References; Copyright information; About this chapter;
Approximation of Fuzzy Numbers Using Max-Product Operators
Chapter; Abstract; Background; Main Results; References; Copyright information; About this chapter;
High Order Approximation by Multivariate Sublinear and Max-Product Operators
Chapter; Abstract; Background; Main Results; References; Copyright information; About this chapter;
High Order Approximation by Sublinear and Max-Product Operators Using Convexity
Chapter; Abstract; Background; Main Results; References; Copyright information; About this chapter;
High Order Conformable Fractional Approximation by Max-Product Operators Using Convexity
Chapter; Abstract; Background; Main Results; Applications; References; Copyright information; About this chapter;
High Order Approximation by Multivariate Sublinear and Max-Product Operators Under Convexity
Chapter; Abstract; Background; Main Results; References; Copyright information; About this chapter;
Back Matter
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Journals
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(Selected)
Mi-Gyong Ri, Chol-Hui Yun
Xiang Liu, Peiguang Wang, Douglas R. Anderson
Yadong Shu, Bo Li
Dynamics of a ring of three fractional-order Duffing oscillators
J.J.Barba-Franco, A.Gallegos, R.Jaimes-Reátegui, A.N.Pisarchik
Ghazala Akram, Maasoomah Sadaf, Iqra Zainab
Jingfei Jiang, Huatao Chen, Dengqing Cao, Juan LG Guirao
Principal resonance analysis of piecewise nonlinear oscillator with fractional calculus
Wang Mei-Qi, Ma Wen-Li, Chen En-Li, Chang Yu-Jian, Wang Cui-Yan
Synchronization in coupled integer and fractional-order maps
Sumit S. Pakhare, Sachin Bhalekar, Prashant M. Gade
Muhammad Fiaz, Muhammad Aqeel, Muhammad Marwan, Muhammad Sabir
M. Hosseininia, M. H. Heydari, Z. Avazzadeh
Robust global fixed-time synchronization of different dimensions fractional-order chaotic systems
Mehrdad Shirkavand, Mahdi Pourgholi, Alireza Yazdizadeh
Mani Mallika Arjunan, Thabet Abdeljawad, Pratap Anbalagan
Bo Wang, Jinping Liu, Madini O.Alassafi, Fawaz E.Alsaadi, Hadi Jahanshahi, Stelios Bekiros
Anurag Shukla, V. Vijayakumar, Kottakkaran Sooppy Nisar
Existence and stability analysis of nth order multi term fractional delay differential equation
Ghaus ur Rahman, Ravi P. Agarwal, Dildar Ahmad
Mechanical Systems and Signal Processing
(Selected)
Myong-Hyok Sin, Cholmin Sin, Song Ji, Su-Yon Kim, Yun-Hui Kang
Vineet Prasad, Utkal Mehta
Zhao Feng, Min Ming, Jie Ling, Xiaohui Xiao, Zhi-Xin Yang, Feng Wan
Fan Kong, Yixin Zhang, Yuanjin Zhang
Parameter identification of fractional-order time delay system based on Legendre wavelet
Zishuo Wang, Chunyang Wang, Lianghua Ding, Zeng Wang, Shuning Liang
Jie Yuan, Yichen Ding, Shumin Fei, YangQuan Chen
Shengzheng Kang, Hongtao Wu, Xiaolong Yang, Yao Li, Liang Pan, Bai Chen
Hoang Manh Cuong, Hoang Quoc Dong, Pham Van Trieu, Le Anh Tuan
Xufang Zhang, Xinkai Wang, Mahesh D.Pandey, John Dalsgaard Sørensen
A.G.Cunha-Filho, Y.Briend, A.M.G.de Lima, M.V.Donadon
Ziquan Yu, Youmin Zhang, Bin Jiang, Chun-Yi Su, Jun Fu, Ying Jin, Tianyou Chai
Product technical life prediction based on multi-modes and fractional Lévy stable motion
Shouwu Duan, Wanqing Song, Enrico Zio, Carlo Cattani, Ming Li
Sy Dzung Nguyen, Bao Danh Lam, Seung-Bok Choi
Pasquale Grosso, Alessandro De Felice, Silvio Sorrentino
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Paper Highlight
Space fractional kinetic model for different types of suspension profiles in turbulent flows with a neural network-based estimation of fractional orders
Snehasis Kundu, Ravi Ranjan Sinha
Publication information: Journal of Hydrology: Volume 602, November 2021
https://doi.org/10.1016/j.jhydrol.2021.126707
Abstract
Estimation of particle concentration distribution profile is important to understand the inherent mixing process, changes of river morphology, and nature of transportation of particles. In this study, the effects of non-locality are investigated to analyze, distinguish and predict different types of profiles of the suspended concentration distribution in turbulent flows through open channels, pipes, and mixing boxes. The effects of non-locality are captured through fractional derivatives and integrals. Starting from the fractional Liouville equation and considering the power-law jumps of particles in the carrier fluid, the fractional kinetic equation is derived through mathematical analysis. The kinetic model is solved and an analytical model is proposed using the Laplace transformation. The proposed solution contains the two parameters (as α the order of fractional model and μ the shape parameter) Mittag-Leffler function and is a more general one that contains several previous models as special cases. The proposed model can predict four different types of suspension concentration distributions namely type-I, type-II, plume-like, and convex type profiles under different conditions. Further, the model is validated with existing experimental data of dilute and dense flow in open channels and pipes, flows in square pipes, slurry pipelines, and fluid mud gravity currents. Satisfactory results are obtained. A detailed nonlinear multivariate regression analysis is carried out with a wide range of selected data and models are proposed to compute model parmeters. To increase the efficiency of the model, an artificial neural network (ANN) model is proposed to predict the model parameters. The ANN-based models show better results than the regression analysis. Validation results show that non-locality has significant effects on the structure of the concentration profiles. From the analysis of the model parameters, it is found that type-I profile occurs under the subdiffusion process where α ≤1 and μ = 1 and other three types (type-II, plume-like and convex) of profiles are associated with the superdiffusion process when α > 1 and μ > 1.
Keywords
Particle concentration distribution; Hyper-concentrated flow; Turbulent transportation; Fractional Liouville equation; Non-local mixing
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Emad Awad; Trifce Sandev; Ralf Metzler; Aleksei Chechkin
From continuous-time random walks to the fractional Jeffreys equation: Solution and properties
Publication information: International Journal of Heat and Mass Transfer: Published December 2021
https://doi.org/10.1016/j.ijheatmasstransfer.2021.121839
Abstract
Jeffreys equation provides an increasingly popular extension of the diffusive laws of Fourier and Fick for heat and particle transport. Similar to generalisations of the diffusion equation, we here investigate the connection between a time-fractional generalisation of the Jeffreys equation and a continuous-time random walk process based on a generalised waiting time density with diverging mean. We demonstrate that the mean squared displacement exhibits a variety of anomalous behaviors, such as retarding and accelerating subdiffusion, as well as a crossover from superdiffusion to subdiffusion. Moreover, we provide two alternative approaches, namely, a fractional Taylor series and distributed-order derivatives, that transform Fourier’s or Fick’s law into the time-fractional Jeffreys equation. Our discussion provides physics-based support for the fractional Jeffreys equation and shows its versatility for practical applications.
Keywords:
Anomalous diffusion; Continuous time random walk; Heat transport; Telegraphers equation; Jeffreys equation; Fractional Jeffreys equation
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