FDA Express Vol. 42, No. 3, Mar. 31, 2022
FDA Express Vol. 42, No. 3, Mar. 31, 2022
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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
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◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Advances in Boundary Value Problems for Fractional Differential Equations
◆ 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 ======================================================================== Latest SCI Journal Papers on FDA ------------------------------------------
Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory
By: Yamamoto, M
MATHEMATICS Volume: 10 Published: Mar 2022
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
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
By:Chen, X; Wang, XF; etc.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume: 69 Page: 7720-7732 Published: Aug 2022
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
By: Ben Makhlouf, A and Boucenna, D
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume: 51 Page: 1541-1551 Published: Oct 2022
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
By: Chen, HY; Bhakta, M and Hajaiej, H
JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 317 Published: Apr 25 2022
========================================================================== Call for Papers ------------------------------------------
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.
=========================================================================== Books ------------------------------------------
( 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
======================================================================== Journals ------------------------------------------ Communications in Nonlinear Science and Numerical Simulation (Selected) Hengfei Ding, Qian Yi Mohammad Tavazoei, Mohammad Hassan Asemani Fan Kong, Huimin Zhang, Yixin Zhang, Panpan Chao, Wei He Nguyen Phuong Dong, Hoang Viet Long, Nguyen Thi Kim Son Rachid Malti, Abir Mayoufi, Stéphane Victor P. Prakash, K. S. Priyendhu, M. Lakshmanan Łukasz Płociniczak M. Nosrati Sahlan, H. Afshari Huilin Lv, Shenzhou Zheng A. M. AbdelAty, M. E. Fouda, A. M. Eltawil Ahmed S. Hendy, Mahmoud A. Zaky Alessandra Jannelli S. Banihashemi, H. Jafari, A. Babaei Pradip Roul Eric Ngondiep Applied Mathematics and Computation (Selected) Jie Ran, Yu-Qin Li, Yi-Bin Xiong Zhaohua Gong, Chongyang Liu, Kok Lay Teo, Xiaopeng Yi Eva Kaslik, Ileana Rodica Rădulescu Zhimin Bi, Shutang Liu, Miao Ouyang Nikita S. Belevtsov, Stanislav Yu. Lukashchuk Khalid M. Hosny, Mohamed M. Darwish Lili Li, Dan Zhao, Mianfu She, Xiaoli Chen Xiao Peng, Yijing Wang, Zhiqiang Zuo Juan P. Ugarte, J. A. Tenreiro Machado, Catalina Tobón Shujuan An, Kai Tian, Zhaodong Ding, Yongjun Jian Hanna Okrasińska-Płociniczak, Łukasz Płociniczak Jingjun Zhao, Xingzhou Jiang, Yang Xu C.Burgos, J.-C.Cortés, L.Villafuerte, R.J.Villanueva Yi Zheng, Xiaoqun Wu, ZiyeFan, Wei Wang ======================================================================== Paper Highlight LBM simulation of non-Newtonian fluid seepage based on fractional-derivative constitutive model HongGuang Sun, LiJuan Jiang, Yuan Xia
Stability analysis of time-delay incommensurate fractional-order systems
Experiment design for elementary fractional models
On a discrete composition of the fractional integral and Caputo derivative
On numerical approximations of fractional-order spiking neuron models
Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations
A robust adaptive moving mesh technique for a time-fractional reaction–diffusion model
On the dynamics of fractional q-deformation chaotic map
Optimal control of nonlinear fractional systems with multiple pantograph‐delays
Stability and bifurcations in fractional-order gene regulatory networks
Novel quaternion discrete shifted Gegenbauer moments of fractional-orders for color image analysis
On high order numerical schemes for fractional differential equations by block-by-block approach
Electroosmotic and pressure-driven slip flow of fractional viscoelastic fluids in microchannels
Identifying topology and system parameters of fractional-order complex dynamical networks
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 ------------------------------------- Sugandha; Trilok Mathur; Shivi Agarwal; Kamlesh Tiwari; Phalguni Gupta Publication information: Neurocomputing: Available online 17 March 2022 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 ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Applications of Fractional Calculus in Computer Vision: A Survey
https://doi.org/10.1016/j.neucom.2021.10.122