FDA Express Vol. 56, No. 1
FDA Express Vol. 56, No. 1, Jul. 31, 2025
All issues: http://www.jsstam.org.cn/?list_65/
Editors: http://jsstam.org.cn/fda/Editors.htm
Institute of Soft Matter Mechanics, Hohai University
For contribution: xybxyb@hhu.edu.cn, fda@hhu.edu.cn
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PDF download: http://em.hhu.edu.cn/fda/Issues/FDA_Express_Vol 56_No 1_2025.pdf
◆ Latest SCI Journal Papers on FDA
◆ Call for Papers
Recent Advances in Nonlocal Problems Involving the Fractional Laplacian Operators
Bifurcation, Chaos, and Fractals in Fractional-Order Electrical and Electronic Systems
◆ Books Fractional Derivatives for Physicists and Engineers ◆ Journals Journal of Scientific Computing ◆ Paper Highlight
On systems of fractional nonlinear partial differential equations
◆ Websites of Interest Fractal Derivative and Operators and Their Applications Fractional Calculus & Applied Analysis ======================================================================== Latest SCI Journal Papers on FDA －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Tuberculosis disease dynamics with fractal-fractional derivative under the use of real data
Uçar, E
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:473 Published: Feb 2026
Comparison results for the fractional heat equation with a singular lower order term
Brandolini, B; de Bonis, I; etc.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS Volume:87 Published: Feb 2026
A finite element discretization of fractional problems using graded meshes
Barrios, M; Lombardi, AL and Penessi, C
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:473 Published: Feb 2026
Dong, RM; Zhu, L; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:472 Published: Jan 2026
Liu, CY; Yi, XP; etc.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume:472 Published: Jan 2026
Ma, L and Xu, Y
APPLIED MATHEMATICAL MODELLING Volume: 149 Published: Jan 2026
Xu, LG; Hu, HX and He, DH
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 239 Published: Jan 2026
Multistability and global attractivity for fractional-order spiking neural networks
Zhang, S; Liu, L; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume: 508 Published: Jan 2026
A robust family of optimal fourth-order iteration schemes for multiple roots with applications
Junjua, MUD; Kumar, S and Ali, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 471 Published: Jan 2026
Wang, HS; Lu, ZR; etc.
APPLIED MATHEMATICS AND COMPUTATION Volume:508 Published: Jan 2026
Dhayal, R and Kumar, A
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 239 Published: Jan 2026
Nonuniform L1/spectral element algorithm for the time fractional diffusion equation
Cai, M and Tong, WW
MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 239 Published:Jan 2026
Existence results for generalized 2D fractional partial integro-differential equations
Moghaddamfar, M; Kazemi, M and Ezzati, R
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 471 Published: Jan 2026
Kratuloek, K; Kumam, P; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 31 Published: Dec 2025
Dynamical behaviour and solutions in the fractional Gross-Pitaevskii model
Beenish; Asim, M; etc.
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS Volume: 31 Published: Dec 2025
Fractional order analysis of radiating couple stress MHD nanofluid flow in a permeable wall channel
Khan, ZH; Makinde, OD; etc.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 19 Published: Dec 2025
El-Mesady, A; Mahdy, AMS and Özköse, F
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE Volume: 19 Published: Dec 2025
Alhamzi, G; Chaudhary, A; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 33 Published: Dec 2025
Rangasamy, M; Shalini, MM; etc.
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING Volume: 33 Published: Dec 2025
========================================================================== Call for Papers －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Recent Advances in Nonlocal Problems Involving the Fractional Laplacian Operators
( A special issue of Fractal and Fractional )
Dear Colleagues,
The study of fractional Sobolev spaces and their corresponding nonlocal equations has been exposed to tremendous popularity, since it not only involves mathematical challenges (in particular, inhomogeneity) but also many applications. This Special Issue will focus on new aspects of the recent developments in the theory and applications of fractional Laplacian equations, stationary problems involving singular nonlinearities, nonlocal problems with variable exponents, and problems involving the fractional magnetic operator, subject to various boundary conditions.
Contributions to the Special Issue may address (but are not limited) to the following aspects:
• Existence and multiplicity of solutions of fractional differential equations;
• Existence and multiplicity of solutions of nonlocal problems with variable exponent;
• Existence and multiplicity of solutions of nonlocal problems of Kirchhoff type;
• Spectral and asymptotic theory;
• Stationary problems involving singular nonlinearities;
• Regularity of solutions for fractional differential equations.
Organizers:
Dr. Yun-Ho Kim
Important Dates:
Deadline for conference receipts:14 August 2025.
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/33655G933J.
Bifurcation, Chaos, and Fractals in Fractional-Order Electrical and Electronic Systems
( A special issue of Fractal and Fractional )
Dear Colleagues,
Fractional calculus is the extension and generalization of integer calculus; additionally, compared with integer calculus, fractional calculus has superiority as it is able to more accurately describe models, can more easily improve control performance, and has more freedom in designing controllers. At present, with the rapid development of engineering technology, practical electrical and electronic systems are becoming more and more complex, to the point where most of them should be described by using fractional calculus; thus, the requirements for control performance are also getting higher and higher. Meanwhile, a fractional-order controller can guarantee the stable operation of a complex practical electrical and electronic system due to its outstanding advantages. Therefore, the construct of the fractional-order model and the design of the fractional-order controller has become a current hot topic. However, fractional-order electrical and electronic systems have complex dynamical properties, among them, bifurcation, chaos, and fractals are typical nonlinear phenomena and will have an important effect on the system performance. Thus, it is necessary to reveal the underlying mechanism of the occurrence of these typical nonlinear phenomena and design a controller to make these typical nonlinear phenomena disappear.
This Special Issue aims to focus on bifurcation, chaos, and fractals in fractional-order electrical and electronic systems and their control; continuous/discrete modeling and stability analysis of fractional-order electrical and electronic systems; multi-timescale and entropy analysis of fractional-order electrical and electronic systems; and optimization of the control accuracy for fractional-order electrical and electronic systems. Improvements and applications of fractional calculus in electrical and electronic systems are also required.
Organizers:
Dr. Faqiang Wang
Dr. Shaobo He
Dr. Hongbo Cao
Important Dates:
Deadline for manuscript submissions: 15 August 2025 .
All details on this conference are now available at: https://www.mdpi.com/journal/fractalfract/special_issues/HG83F8H169.
=========================================================================== Books －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
( Authors: Vladimir V. Uchaikin )
Details: https://doi.org/10.1007/978-981-96-0582-8 Book Description: This book brings new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. The first volume (ISBN: 978-3-642-33910-3) contains a clear introduction into such a modern branch of analysis as fractional calculus. This second volume develops a wide panorama of applications of the fractional calculus to various physical problems.
This book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular.
Author Biography:
Department of Theoretical Physics, Ulyanovsk State University, Ulyanovsk, Russia
Contents:
Front Matter
Mechanics
Continuum Mechanics
Porous Media
Thermodynamics
Electrodynamics
Quantum Mechanics
Plasma Dynamics
Cosmic Rays
Closing Chapter
Back Matter
======================================================================== Journals －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ (Selected) Pan Gong, Badreddine Meftah, etc. Tingsong Du, Ziyi Zhou, Zongrui Tan Haiming Zhao, Honggang Yang, etc. Hyun Geun Lee, Soobin Kwak, etc. Tadeusz Antczak, Nisha Pokharna Yukaichen Yang, Xiang Xu, etc. Lorenz Josue Oliva-Gonzalez, Rafael Martínez-Guerra Ekin Uğurlu Mudassir Shams, Nasreen Kausar, Bruno Carpentieri Babak Azarnavid, Mojtaba Fardi, Hojjat Emami Huiwen Wang, Fang Li Baizeng Bao, Liguang Xu Umut Bas, Abdullah Akkurt, etc. Xiaohua Zhang, Yu Peng, Tingsong Du Xijun Liu, Ke Deng, Maokang Luo Journal of Scientific Computing (Selected) Jingying Wang, Xiaoqin Shen, etc. Luigi Brugnano, Gianmarco Gurioli, etc. Shipeng Li, Hengfei Ding Dakang Cen, Zhiyuan Li, Wenlong Zhang Po-Wen Hsieh, Chung-Lin Tseng, Suh-Yuh Yang Xiangcheng Zheng, V. J. Ervin, Hong Wang Xing Liu, Yumeng Yang Zi-Yun Zheng, Yuan-Ming Wang Yijin Gao, Songting Luo Pin Lyu, Hong-lin Liao, Seakweng Vong Ting Wei, Ruidi Deng Biao Zhang, Yin Yang Hailing Xuan, Xiaoliang Cheng, Lele Yuan Xin Huang, Dongfang Li, etc. Weizhang Huang, Jinye Shen ======================================================================== Paper Highlight On systems of fractional nonlinear partial differential equations Ravshan Ashurov, Oqila Mukhiddinova Publication information: Fractional Calculus and Applied Analysis, Volume 28, 18 July 2025. https://doi.org/10.1007/s13540-025-00431-3 Abstract The work considers a system of fractional order partial differential equations. The existence and uniqueness theorems for the classical solution of initial-boundary value problems are proved in two cases: 1) the right-hand side of the equation does not depend on the solution of the problem and 2) it depends on the solution, but at the same time satisfies the classical Lipschitz condition with respect to this variable and an additional condition which guarantees a global existence of the solution. Sufficient conditions are found (in some cases they are necessary) on the initial function and on the right-hand side of the equation, which ensure the existence of a classical solution. In previously known works, linear but more general systems of fractional pseudodifferential equations were considered and the existence of a weak solution was proven in the special classes of distributions. Other works consider systems of fractional differential equations in which each differential expression with respect to a spatial variable, unlike the equations considered in this work, has the same order. Keywords System of differential equations · Fractional order differential equation · Matrix symbol · Classical solution · Mittag-Leffler function －－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－－ Yirong Jiang, Xiaoling Qin, Guoji Tang Publication information: Fractional Calculus and Applied Analysis, Volume 28, 28 July 2025. Abstract In this article, our focus is on exploring the topological characteristics of the corresponding mild solution set for the control problem driven by fractional delay differential quasi-hemivariational inequalities. The proof is based on arguments of the theory of fractional calculus, measure of noncompactness, some characteristics of Clarke subdifferential and some fixed point theories. First, we show that the mild solution set is a nonempty, compact and Rδ-set. Moreover, we demonstrate that the reachability set of the associated control problem remains invariant under nonlinear perturbations. Then a result on the existence of the related optimal control and a approximate controllability result of the corresponding control problem are derived. Finally, a concrete example is provided clarify abstract results. Keywords Control problem · Fractional delay Differential quasi-hemivariational inequality · Compact Rδ set · Approximate controllability · Optimal control ========================================================================== The End of This Issue ∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽∽
Exploring fractal–fractional integral inequalities: An extensive parametric study
Hadamard functional integral operators within fractional multiplicative calculus
The normalized time-fractional Cahn–Hilliard equation
A nonparametric approach to nonsmooth vector fractional interval-valued optimization problems
Neuromorphic dynamics and behavior synchronization of fractional-order memristive synapses
Conformable fractional-order fixed-point state estimator for discrete-time nonlinear systems
Left-definite fractional Hamiltonian systems: Titchmarsh-Weyl theory
An operator method for composite fractional partial differential equations
Mittag-Leffler ultimate boundedness of fractional-order nonautonomous delay systems
Multiplicative Riemann–Liouville fractional integrals and derivatives
(k,s)-fractional integral operators in multiplicative calculus
The blow-up of space–time fractional time-delayed diffusion equations
High-order energy stable algorithm for time-fractional Swift-Hohenberg model on graded meshes
Analysis and implementation of collocation methods for fractional differential equations
Scattered Point Measurement-Based Regularization for Backward Problems for Fractional Wave Equations
Mittag-Leffler Interpolation Integrator for the Time-Fractional Allen–Cahn Equation
Asymptotic Methods for Fractional Helmholtz Equations in the High Frequency Regime
Simultaneous Determination of the Order and a Coefficient in a Fractional Diffusion-Wave Equation
A Fast Iterative Solver for Multidimensional Spatial Fractional Cahn-Hilliard Equations
Topological properties of solution sets for control problems driven by fractional delay differential quasi-hemivariational inequalities and applications
https://doi.org/10.1007/s13540-025-00432-2
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