FDA Express Vol. 42, No. 3, Mar. 31, 2022

发布时间:2022-03-31 访问量:1788

FDA Express    Vol. 42, No. 3, Mar. 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.cnfda@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 3_2022.pdf


 

◆  Latest SCI Journal Papers on FDA

(Searched on Mar. 31, 2022)

 

  Call for Papers

Advances in Boundary Value Problems for Fractional Differential Equations

Recent Advances in Fractional Differential Equations, Delay Differential Equations and Their Applications


 

◆  Books

Introduction to Fractional Differential Equations

 

◆  Journals

Communications in Nonlinear Science and Numerical Simulation

Applied Mathematics and Computation

 

  Paper Highlight

LBM simulation of non-Newtonian fluid seepage based on fractional-derivative constitutive model

Applications of Fractional Calculus in Computer Vision: A Survey

 

  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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(Searched on Mar. 31, 2022)



 Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory

By: Yamamoto, M
MATHEMATICS Volume: 10 Published: Mar 2022


 Fractional viscoelastic models with novel variable and constant order fractional derivative operators

By: Kachia, K and Gomez-Aguilar, JF
REVISTA MEXICANA DE FISICA Volume: ‏68 Published: ‏ Mar-apr 2022



 A classical model for perfect transfer and fractional revival based on q-Racah polynomials

By: Scherer, H; Vinet, L and Zhedanov, A
PHYSICS LETTERS A Volume:431    Published: ‏  Apr 15 2022



 Nonlinear dynamics of beams on nonlinear fractional viscoelastic foundation subjected to moving load with variable speed

By:Ouzizi, A; Abdoun, F and Azrar, L
JOURNAL OF SOUND AND VIBRATION Volume: ‏523 Published: ‏Apr 14 2022



 Some evaluations of the fractional p-Laplace operator on radial functions

By: Colasuonno, F; Ferrari, F; etc.
MATHEMATICS IN ENGINEERING Volume: ‏ 5 Published: 2023



 A fractional order control model for Diabetes and COVID-19 co-dynamics with Mittag-Leffler function

By: Omame, A; Nwajeri, UKK; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: ‏ 61 Page: 7619-7635 Published: ‏ Oct 2022



 Fractional Moisil-Teodorescu operator in elasticity and electromagnetism

By:Bory-Reyes, J; Perez-de la Rosa, MA and Pena-Perez, Y
ALEXANDRIA ENGINEERING JOURNAL Volume:61 Page: 6811-6818 Published: Sep 2022



 Computational and numerical simulations of nonlinear fractional Ostrovsky equation

By:Omri, M; Abdel-Aty, AH; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: ‏ 61 Page: 6887-6895 Published: ‏ Sep 2022



 Fractional order model for complex Layla and Majnun love story with chaotic behaviour

By: Farman, M; Akgul, A; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: 61 Page: 6725-6738 Published: ‏ Sep 2022



 On the nonlinear Psi-Hilfer hybrid fractional differential equations

By:Kucche, KD and Mali, AD
COMPUTATIONAL & APPLIED MATHEMATICS Volume: ‏41 Page: 299-338 Published: Apr 2022



 Design of a Medium-Voltage High-Power Brushless Doubly Fed Motor With a Low-Voltage Fractional Convertor for the Circulation Pump Adjustable Speed Drive

By:Chen, X; Wang, XF; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 69 Page: 7720-7732 Published: Aug 2022



 Decoupled Fractional Supertwisting Stabilization of Interconnected Mobile Robot Under Harsh Terrain Conditions

By: Jiang, LQ; Wang, ST; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: ‏ 69 Page: 8178-8189 Published: ‏ Aug 2022



 An efficient numerical scheme for fractional model of telegraph equation

By:Hashmi, MS; Aslam, U; etc.
ALEXANDRIA ENGINEERING JOURNAL Volume: ‏ 61 Page:6383-6393 Published: ‏ Aug 2022



 Dynamics of two-dimensional multi-peak solitons based on the fractional Schrodinger equation

By:Ren, XP and Deng, F
JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS Volume: 31 Published: Jun 2022



 Fractional truncated Laplacians: representation formula, fundamental solutions and applications

By: Birindelli, I; Galise, G and Topp, E
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS Volume: ‏ 29 Published: ‏ May 2022



 Ulam-Hyers-Rassias Mittag-Leffler Stability for the darboux problem dor partial fractional differential equations

By: Ben Makhlouf, A and Boucenna, D
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume: ‏51 Page: 1541-1551 Published: ‏ Oct 2022



 A Block Fast Regularized Hermitian Splitting Preconditioner for Two-Dimensional Discretized Almost Isotropic Spatial Fractional Diffusion Equations

By:Liu, YN and Muratova, GV
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS Volume: 12 Page:213-232 Published:May 2022 |



 A classical model for perfect transfer and fractional revival based on q-Racah polynomials

By:Scherer, H; Vinet, L and Zhedanov, A
PHYSICS LETTERS A Volume: ‏ 431 Published: Apr 15 2022



 On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians

By: Chen, HY; Bhakta, M and Hajaiej, H
JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 317 Published: ‏Apr 25 2022


 

 

 

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Call for Papers

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Advances in Boundary Value Problems for Fractional Differential Equations

( A special issue of Fractal and Fractional )


Dear Colleagues: Fractional differential equations have extensive applications in the mathematical modelling of real-world phenomena which occur in scientific and engineering disciplines. This Special Issue will cover new aspects of the recent developments in the theory and applications of fractional differential equations, inclusions, inequalities, and systems of fractional differential equations with Riemann-Liouville, Caputo, and Hadamard derivatives or other generalized fractional derivatives, subject to various boundary conditions. Problems as existence, uniqueness, multiplicity, nonexistence of solutions or positive solutions, and stability of solutions for these models are of great interest for readers who work in this field.

Keywords:

- Fractional differential equations
- Fractional differential inclusions
- Fractional differential inequalities
- Boundary value problems
- Existence, nonexistence
- Uniqueness, multiplicity
- Stability



Organizers:

Prof. Dr. Rodica Luca
Guest Editors

Important Dates:

Deadline for manuscript submissions: 30 April 2022.

All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/BVP_FDE.



Recent Advances in Fractional Differential Equations, Delay Differential Equations and Their Applications

( A special issue of Fractal and Fractional )


Dear Colleagues: Differential equations both partial (PDE) and ordinary (ODE) give key tools in understanding the mechanisms of physical systems, and solving various problems of nonlinear phenomena. In particular, we mention diffusive processes as problems in elasticity theory and in the study of porous media.

Differential equations enable mathematics to be associated with other disciplines such as science, medicine, and engineering, since real-life problems in these fields give rise to differential equations which can only be solved using mathematics. Topics related to the theoretical and numerical aspects of differential equations have been undergoing tremendous development for decades. Numerical investigations in particular have played a decisive role in dynamical systems, control theory, and optimization, to name but a few areas. Indeed, the qualitative study of differential equations provide the appropriate framework setting to develop new inequalities and to consider different types of equations. On the other hand, these inequalities and equations are used to obtain useful estimates and bounds of terms in specific differential equations, but also in characterizing the solutions' set.

There is a large and very active community of scientists working on these topics, and focusing on their applications to dynamical programming, biology, information theory, statistics, physics, and engineering processes.

This Special Issue will collect ideas and significant contributions to the theories and applications of analytic inequalities, functional equations and differential equations. We welcome both original research articles and articles discussing the current state-of-the-art.



Keywords:

- Fractional calculus
- Fractional differential equations
- Functional and difference equations
- ODE
- PDE
- Calculus of variations
- Dynamical systems
- Asymptotic analysis
- Potential theory
- Comparison methods
- Differential models in engineering and physical sciences



Organizers:

Dr. Omar Bazighifan
Guest Editor

Important Dates:

Deadline for manuscript submissions: 9 May 2022.

All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/FDE_DDE.





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Books

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Introduction to Fractional Differential Equations

( Authors: Constantin Milici; Gheorghe Drăgănescu; J. Tenreiro Machado )

Details:https://doi.org/10.1007/978-3-030-00895-6

Book Description:

This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and computer fields, and the transition from integer- to fractional-order methods.

Introduces Fractional Calculus in an accessible manner, based on standard integer calculus Supports the use of higher-level mathematical packages, such as Mathematica or Maple Facilitates understanding the generalization (towards Fractional Calculus) of important models and systems, such as Lorenz, Chua, and many others Provides a simultaneous introduction to analytical and numerical methods in Fractional Calculus.


Author Biography:

Dr. Constantin Milici is a retired lecturer with the Department of Mathematics, Polytechnic University of Timișoara, Timisoara, Romania. Dr. Gheorghe Draganescu is a Prof Dr. with the Research Center in Theoretical Physics, West University of Timișoara, Timișoara, Romania. Dr. José António Tenreiro Machado is Principal Coordinator Professor with the Institute of Engineering of Porto, Porto, Portugal.

Contents:

Front Matter

Special Functions
Euler’s Function; Gamma Function; Beta Function; Integral Functions; Mittag-Leffler Function; Function E(t, α, a); References;

Fractional Derivative and Fractional Integral
Fractional Integral and Derivative; References;

The Laplace Transform
Calculus of the Images; Calculus of the Original Function; The Properties of the Laplace Transform; Laplace Transform of the Fractional Integrals and Derivatives; References;

Fractional Differential Equations
The Existence and Uniqueness Theorem for Initial Value Problems; Linear Fractional Differential Equations; Nonlinear Equations; Fractional Systems of Differential Equations; References;

Generalized Systems
Cornu Fractional System; Power Series; References;

Numerical Methods
Variational Iteration Method for Fractional Differential Equations; The Least Squares Method; The Galerkin Method for Fractional Differential Equations; Euler’s Method; Runge–Kutta Methods for Fractional Differential Equation; References;

Back Matter



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 Journals

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Communications in Nonlinear Science and Numerical Simulation

 (Selected)

 


 High-order numerical differential formulas of Riesz derivative with applications to nonlinear spatial fractional complex Ginzburg–Landau equations

Hengfei Ding, Qian Yi


 Stability analysis of time-delay incommensurate fractional-order systems

Mohammad Tavazoei, Mohammad Hassan Asemani


 Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation

Fan Kong, Huimin Zhang, Yixin Zhang, Panpan Chao, Wei He


 The dynamical behaviors of fractional-order SE1E2IQR epidemic model for malware propagation on Wireless Sensor Network

Nguyen Phuong Dong, Hoang Viet Long, Nguyen Thi Kim Son


 Experiment design for elementary fractional models

Rachid Malti, Abir Mayoufi, Stéphane Victor


 Invariant subspace method for (m+1)-dimensional non-linear time-fractional partial differential equations

P. Prakash, K. S. Priyendhu, M. Lakshmanan


 On a discrete composition of the fractional integral and Caputo derivative

Łukasz Płociniczak


 Lucas polynomials based spectral methods for solving the fractional order electrohydrodynamics flow model

M. Nosrati Sahlan, H. Afshari


 Ground states for Schrödinger-Kirchhoff equations of fractional p-Laplacian involving logarithmic and critical nonlinearity

Huilin Lv, Shenzhou Zheng


 On numerical approximations of fractional-order spiking neuron models

A. M. AbdelAty, M. E. Fouda, A. M. Eltawil


 A priori estimates to solutions of the time-fractional convection–diffusion–reaction equation coupled with the Darcy system

Ahmed S. Hendy, Mahmoud A. Zaky


 Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations

Alessandra Jannelli


 An efficient computational scheme to solve a class of fractional stochastic systems with mixed delays

S. Banihashemi, H. Jafari, A. Babaei


 A robust adaptive moving mesh technique for a time-fractional reaction–diffusion model

Pradip Roul


 A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients

Eric Ngondiep

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Applied Mathematics and Computation

  (Selected)

 


  On the dynamics of fractional q-deformation chaotic map

Jie Ran, Yu-Qin Li, Yi-Bin Xiong


 Optimal control of nonlinear fractional systems with multiple pantograph‐delays

Zhaohua Gong, Chongyang Liu, Kok Lay Teo, Xiaopeng Yi


 Stability and bifurcations in fractional-order gene regulatory networks

Eva Kaslik, Ileana Rodica Rădulescu


 Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior

Zhimin Bi, Shutang Liu, Miao Ouyang


 A fast algorithm for fractional Helmholtz equation with application to electromagnetic waves propagation

Nikita S. Belevtsov, Stanislav Yu. Lukashchuk


 Novel quaternion discrete shifted Gegenbauer moments of fractional-orders for color image analysis

Khalid M. Hosny, Mohamed M. Darwish


 On high order numerical schemes for fractional differential equations by block-by-block approach

Lili Li, Dan Zhao, Mianfu She, Xiaoli Chen


 Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems

Xiao Peng, Yijing Wang, Zhiqiang Zuo


 Fractional generalization of entropy improves the characterization of rotors in simulated atrial fibrillation

Juan P. Ugarte, J. A. Tenreiro Machado, Catalina Tobón


 Electroosmotic and pressure-driven slip flow of fractional viscoelastic fluids in microchannels

Shujuan An, Kai Tian, Zhaodong Ding, Yongjun Jian


 Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line

Hanna Okrasińska-Płociniczak, Łukasz Płociniczak


 A kind of generalized backward differentiation formulae for solving fractional differential equations

Jingjun Zhao, Xingzhou Jiang, Yang Xu


 Solving random fractional second-order linear equations via the mean square Laplace transform: Theory and statistical computing

C.Burgos, J.-C.Cortés, L.Villafuerte, R.J.Villanueva


 Identifying topology and system parameters of fractional-order complex dynamical networks

Yi Zheng, Xiaoqun Wu, ZiyeFan, Wei Wang

 

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 Paper Highlight

LBM simulation of non-Newtonian fluid seepage based on fractional-derivative constitutive model

HongGuang Sun, LiJuan Jiang, Yuan Xia  

Publication information: Journal of Petroleum Science and Engineering: Available online 5 March 2022

https://doi.org/10.1016/j.petrol.2022.110378


Abstract

This paper proposes a truncated fractional-derivative constitutive model to consider the non-locality of non-Newtonian fluids. The single relaxation time lattice Boltzmann method (SRT-LBM) is used to simulate seepage of non-Newtonian fluid. The results are verified by analytical solutions while the flow characteristics of non-Newtonian fluids are explored. In the case of laminar flow, the steady-state velocity distribution of shear-thinning and shear-thickening fluids after 105 - time steps are compared with the analytical distribution, and the results show an agreement within 2%. For non-Newtonian index simulation, the thicker the fluid, the larger the velocity and the more volatility, implying the more complex flow characteristics for shear-thickening fluid. Additionally, small fractional indexes correspond to large computational errors in regions away from the boundary. Flow characteristics research shows that the seepage of power-law fluid in fractured media exhibits non-Darcy phenomenon. As the fractional index decreases (i.e., fluid becomes thicker), the obstruction of the medium increases, resulting in a reduction in the medium's permeability. The shear stress of non-Newtonian fluids can be memorized by the mean section velocity distribution, and the memory capacity of different fluids can be captured by the fractional index. Furthermore, the fractional-derivative critical Reynolds number is introduced to clarify the applicable conditions of non-Newtonian flow equations, which increase with diameter and initial kinematic viscosity. The fractional-derivative critical Reynolds number of dilatant fluids is larger than pseudoplastic fluids, due to the memory properties of the fluid as well as the physical characteristics.


Keywords

Lattice Boltzmann method; Non-Newtonian fluids; Truncated fractional-derivative constitutive model; Flow characteristics; Critical Reynolds number

 

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Applications of Fractional Calculus in Computer Vision: A Survey

  Sugandha; Trilok Mathur; Shivi Agarwal; Kamlesh Tiwari; Phalguni Gupta

Publication information: Neurocomputing: Available online 17 March 2022
https://doi.org/10.1016/j.neucom.2021.10.122


 

Abstract

Fractional calculus is an abstract idea exploring interpretations of differentiation having non-integer order. For a very long time, it was considered as a topic of mere theoretical interest. However, the introduction of several useful definitions of fractional derivatives has extended its domain to applications. Supported by computational power and algorithmic representations, fractional calculus has emerged as a multifarious domain. It has been found that the fractional derivatives are capable of incorporating memory into the system and thus suitable to improve the performance of locality-aware tasks such as image processing and computer vision in general. This article presents an extensive survey of fractional-order derivative-based techniques that are used in computer vision. It briefly introduces the basics and presents applications of the fractional calculus in six different domains viz. edge detection, optical flow, image segmentation, image de-noising, image recognition, and object detection. The fractional derivatives ensure noise resilience and can preserve both high and low-frequency components of an image. The relative similarity of neighboring pixels can get affected by an error, noise, or non-homogeneous illumination in an image. In that case, the fractional differentiation can model special similarities and help compensate for the issue suitably. The fractional derivatives can be evaluated for discontinuous functions, which help estimate discontinuous optical flow. The order of the differentiation also provides an additional degree of freedom in the optimization process. This study shows the successful implementations of fractional calculus in computer vision and contributes to bringing out challenges and future scopes.


Keywords:

Fractional-Order Derivative; Computer Vision; Image Processing

 

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The End of This Issue

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