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 50_No 2_2024.pdf

◆  Latest SCI Journal Papers on FDA

(Searched Feb. 29, 2024)

◆  Call for Papers

8th Conference on Numerical Methods for Fractional-derivative Problems

New Advances and Applications of Fractional Oscillate System

◆  Books

Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

◆  Journals

Chaos, Solitons & Fractals

Fractional Calculus and Applied Analysis

◆  Paper Highlight

A fractal model for characterizing multi-scaling particle diffusion behaviors in alkali-activated materials system

Thermoelastic component of photoacoustic response calculated by the fractional dual-phase-lag heat conduction theory

◆  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 Feb. 29, 2024)

 Computational analysis of corruption dynamics insight into fractional structures)

By: Akgül, A; Farman, M; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024

 Mathematical modelling with computational fractional order for the unfolding dynamics of the communicable diseases

By:Rahman, MU; Karaca, Y; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 32 Published: Dec 31 2024

 Significance of Cu-Fe3O4 on fractional Maxwell fluid flow over a cone with Newtonian heating

By:Hanif, H; Khan, A; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 18 Published: Dec 31 2024

 Stability and Numerical Analysis of a Coupled System of Piecewise Atangana-Baleanu Fractional Differential Equations with Delays

By:Almalahi, MA; Aldwoah, KA; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Page:102510 Volume: 23 Published: Jul 2024

 Khasminskii Approach for ψ-Caputo Fractional Stochastic Pantograph Problem

By:Alqudah, MA; Boulares, H; etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: ‏23 Published: Jul 2024

 New Solitary Wave Solutions and Dynamical Behaviors of the Nonlinear Fractional Zakharov System

By:Wang, KL
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume: 23 Published:Jul 2024

 Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects

By:Luo, LA; Li, LL and Huang, W
MATHEMATICS AND COMPUTERS IN SIMULATION Volume:219 Page:491-504 Published:May 2024

 Nonlinear acoustic equations of fractional higher order at the singular limit

By:Nikolic, V
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS Volume:31 Published: May 2024

 On a Stokes System Arising in a Free Surface Viscous Flow of a Horizontally Periodic Fluid with Fractional Boundary Operators

By: Hirata, D
JOURNAL OF MATHEMATICAL FLUID MECHANICS Volume: 26 Published: May 2024

 Robust finite difference scheme for the non-linear generalized time-fractional diffusion equation with non-smooth solution

By:Kedia, N; Alikhanov, AA and Singh, VK
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 219 Page:337-354 Published: May 2024

 Solvability of a generalized Ψ-Riemann-Liouville fractional BVP under nonlocal boundary conditions

By:Haddouchi, F and Samei, ME
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 219 Page: 355-377 Published: May 2024

 Reconfigurable Fractional-Order Operator and Bandwidth Expansion Suitable for PIα Controller

By: Prommee, P and Pienpichayapong, P
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS Volume:71 Page: 5126-5136 Published: May 2024

 Eigenvalue for a problem involving the fractional (p, q)-Laplacian operator and nonlinearity with a singular and a supercritical Sobolev growth

By:de Araujo, ALA and Medeiros, AHS
ANALYSIS AND MATHEMATICAL PHYSICS Volume:14 Published: Apr 2024

 Mild solution for the time fractional magneto-hydrodynamics system

By:Khaider, H; Azanzal, A; etc.
ANALYSIS AND MATHEMATICAL PHYSICS Volume: 14 Published: Apr 2024

  Approximate Controllability for Hilfer Fractional Stochastic Non-instantaneous Impulsive Differential System with Rosenblatt Process and Poisson Jumps

By:Gokul, G and Udhayakumar, R
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024

 Globally Well-Posedness Results of the Fractional Navier-Stokes Equations on the Heisenberg Group

By:Liu, XL and Zhou, Y etc.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS Volume:23 Published: Apr 2024

 A novel Seasonal Fractional Incomplete Gamma Grey Bernoulli Model and its application in forecasting hydroelectric generation

By:Xiong, X; Zhu, ZH; etc.
ENERGY Volume: 290 Published:Mar 1 2024

 The sparse representation related with fractional heat equations

By:Qu, W; Qian, T; etc.
ACTA MATHEMATICA SCIENTIA Volume: 44 Page:567-582 Published: Mar 2024

  A Positivity-Preserving and Robust Fast Solver for Time-Fractional Convection-Diffusion Problems

By:Yu, BY; Li, YH and Liu, JG
JOURNAL OF SCIENTIFIC COMPUTING Volume: 98 Published: Mar 2024

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Call for Papers

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International Conference on Mathematical Analysis and Applications in Science and Engineering –ICMASC’24

( June 20-22, 2024 in Porto, Portugal )

Dear Colleagues: This conference is dedicated to the memory of Prof JA Tenreiro Machado, who passed away in October 2021. Its aim is to bring together researchers in every discipline of applied mathematics, science, engineering, industry, and technology, to discuss the development of new mathematical models, theories, and applications that contribute to the advancement of scientific knowledge and practice. We expect the authors to propose research including topics such as partial and ordinary differential equations, integer and fractional order equations, linear algebra, numerical analysis, operations research, discrete mathematics, optimization, control, probability, computational mathematics, amongst others. The conference is designed to maximize the involvement of all participants and will present the state-of-the-art research and the latest achievements.

Keywords:

- Ordinary and Partial Differential Equations: Theory and Applications
- Mathematical Modelling involving time fractional ODEs and PDEs
- Integral Equations and Integral transforms
- Uncertainty Quantification in Mathematical Modelling
- Control Theory, Optimization and their Applications
- Probability, Statistics and Numerical Analysis
- Inverse Problems: Modelling and Simulation
- Computational Methods in Sciences and Engineering
- Fractional Dynamic Systems and Applications
- Fractional Signals and Systems
- Singularities Analysis and Integral representations for Fractioal Differential Systems
- Special Functions Related to Fractional Calculus
- Applications in Biological Systems and Cancer Dynamics
- Applications to Electrical Engineering, Electronics, Electromagnetism, Electrochemistry, Finance, Economics, Fractional Earth Science, Image Processing, Robotics, A utomatic Control, Mechanics, Viscoelasticity, Thermal Engineering
- History of Fractional Calculus
- Mathematics Education

Organizers:

Marty Golubitsky, USA
Guest Editors

Important Dates:

Deadline for conference receipts: 15 APR 2024.

All details on this conference are now available at: https://www2.isep.ipp.pt/icmasc/.

New Advances and Applications of Fractional Oscillate System

( A special issue of Fractal and Fractional )

Dear Colleagues: This Special Issue provides a platform for showcasing the latest research findings and applications in the field of fractional oscillate systems; fostering a deeper understanding and appreciation of fractional oscillate systems and highlighting their significance and potential impact in various domains; and facilitating exchange and collaboration between academia and industry to accelerate the practical applications and technological innovations of fractional oscillate systems. The scope of this Special Issue includes (but is not limited to):

- New theoretical analysis and modeling approaches for fractional-order oscillate systems.
- New numerical simulation and computational methods for fractional-order oscillate systems.
- Dynamics and stability analysis of fractional-order oscillate systems.
- Applications of fractional-order oscillate systems in control and optimization, in signal processing, in biomedical engineering, in materials science, in engineering, in economics, and so on.

Keywords:

- Fractional calculus
- Fractional-order oscillate systems
- Ftochastic dynamical systems
- Vibro-impact system
- Stochastic bifurcation and chaos

Organizers:

Prof. Dr. Liang Wang
Guest Editors

Important Dates:

Deadline for manuscript submissions: 29 March 2024.

All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/27W328DMY5.

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Books

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Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

( Authors: George A. Anastassiou )

Details:https://doi.org/10.1007/978-3-319-66936-6

Book Description:

This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently.

This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.

Author Biography:

George A. Anastassiou, Department of Mathematical Sciences, University of Memphis, Memphis, TN, USA

Contents:

Front Matter

A Strong Left Fractional Calculus for Banach Space Valued Functions
Abstract; Introduction; Main Results; References;

Strong Right Abstract Fractional Calculus
Abstract; Introduction; Main Results; References;

Strong Mixed and Generalized Abstract Fractional Calculus
Abstract; Introduction; Main Results; References;

Foundations of General Fractional Analysis for Banach Space Valued Functions
Abstract; Introduction; Auxilliary Results; Main Results; Applications; References;

Vector Abstract Fractional Korovkin Approximation
Abstract; Introduction; Background; Main Results; Application; References;

Basic Abstract Korovkin Theory
Abstract; Motivation; Main Results; References;

High Approximation for Banach Space Valued Functions
Abstract; Motivation; Main Results; References;

Vectorial Abstract Fractional Approximation Using Linear Operators
Abstract; Motivation Background Main Results Application; References;

Abstract Fractional Trigonometric Korovkin Approximation
Abstract; Motivation; Background; Main Results; Application; References;

Multivariate Abstract Approximation for Banach Space Valued Functions
Abstract; Motivation; Background; Main Results; Application; References;

Arctangent Function Based Abstract Neural Network Approximation
Abstract; Introduction; Basics; Main Results; References;

Back Matter

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Publication information: Cement and Concrete Research Volume 175, January 2024, 107386.

https://doi.org/10.1016/j.cemconres.2023.107386

Abstract

This paper proposes a fractal derivative model with a non-linear distributed-order (DOFM) to describe particle diffusion with multi-scaling behaviors in alkali-activated materials. The distributed derivative order is a power law function of the scaling factor, which generalizes the linear uniform case. The mean squared displacement in terms of the DOFM is derived as a non-linear form with the dilogarithm function that can describe multi-scaling diffusion behaviors. The Brownian motion running with a non-linear clock can clearly interpret the proposed DOFM from the perspective of particle motion. The DOFM is tested by using the experimental data of particles with different curing ages in alkali-activated materials. It is found that the diffusion coefficient and the scaling factor are power law dependent of curing age. Compared with the power law fractal derivative model, the proposed DOFM provides an efficient tool to describe the multi-scaling diffusion behaviors of the moving particles in alkali-activated materials.

Publication information: International Journal of Heat and Mass Transfer Volume 223, 15 May 2024, 125233 (2024).
https://doi.org/10.1016/j.ijheatmasstransfer.2024.125233