Special Issues

Fractal and Fractional publishes Special Issues to create collections of papers on specific topics, with the aim of building a community of authors and readers to discuss the latest research and develop new ideas and research directions. Special Issues are led by Guest Editors, who are experts on the topic. The journal’s Editor-in-Chief and/or designated EBM will oversee Guest Editor appointments and Special Issue proposals, checking their content for relevance and ensuring the suitability of the material for the journal. The papers published in a Special Issue will be collected and displayed on a dedicated page of the journal’s website. For any inquiries related to a Special Issue, please contact the Editorial Office.

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Recent Advances in Computational Physics with Fractional Application, 2nd Edition submission deadline 31 Dec 2024 | 7 articles | Viewed by 8559 | Submission Open
Keywords: stability analysis; integral equations; semi-analytical method; mathematical modeling; traveling wave solutions; analytical and numerical methods; soliton theory and its applications; fractional calculus and its applications; ordinary and partial differential equations; symmetry analysis and conservation laws; mathematical modeling of flow in porous media; high-order numerical differential formulas for fractional derivatives; numerical and computational methods in fractional differential equations
(This special issue belongs to the Section Mathematical Physics)
Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems
edited by , , Xin Wang and Xiao Cai
submission deadline 31 Dec 2024 | 5 articles | Viewed by 6270 | Submission Open
Keywords: fractional order neural networks; nonlinear systems; networked control systems; modelling and analysis; control and optimization; intelligent learning; multiagent systems
(This special issue belongs to the Section Engineering)
Variational Problems and Fractional Differential Equations
edited by Zhisu Liu and Yu Su
submission deadline 31 Dec 2024 | 4 articles | Viewed by 3573 | Submission Open
Keywords: variational problems; fractional differential equations; priori estimate; existence; non-existence; and uniqueness; regularity and symmetry; stability; asymptotic behavior
(This special issue belongs to the Section General Mathematics, Analysis)
Heat Transfer and Diffusion Processes in Fractal Domains
edited by Qingyong Zhu
submission deadline 31 Dec 2024 | 1 articles | Viewed by 1533 | Submission Open
(This special issue belongs to the Section Engineering)
Complex Dynamics and Multifractal Analysis of Financial Markets
edited by Leonardo Henrique Silva Fernandes and
submission deadline 31 Dec 2024 | 1 articles | Viewed by 1439 | Submission Open
Keywords: complexity; cross-correlations; financial markets; multifractality; time series
(This special issue belongs to the Section Probability and Statistics)
Recent Advances in the Equation with Nonlinear Fractional Diffusion
edited by Armando Gallegos and
submission deadline 31 Dec 2024 | 1 articles | Viewed by 988 | Submission Open
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Calculus, Quantum Calculus and Special Functions in Complex Analysis submission deadline 31 Dec 2024 | 1 articles | Viewed by 746 | Submission Open
Keywords: univalent functions; special functions; fractional operator; q– operator; differential subordination; differential superordination; quantum calculus
(This special issue belongs to the Section General Mathematics, Analysis)
Recent Research in Fractional-Order Controllers: Selected Papers from the ICMASC’24 submission deadline 31 Dec 2024 | Viewed by 307 | Submission Open
Keywords: fractional-order control; FOPID; fractional calculus; modelling; implementation; stability analysis; control design
Fractional Order Systems: Deterministic and Stochastic Analysis, 3rd Edition
edited by
submission deadline 31 Dec 2024 | Viewed by 19 | Submission Open
Keywords: fractional dynamical systems; fractional inverse problems; fractional mathematical models; fractional PDEs; fractional operators
Fractional Calculus Operators and the Mittag-Leffler Function, 2nd Edition
edited by
submission deadline 31 Dec 2024 | Viewed by 14 | Submission Open
Keywords: fractional calculus; mittag-Leffler function; fractional integral operator; integral inequality; convex function; bound of operator
(This special issue belongs to the Section General Mathematics, Analysis)
Current Trends on Fractional-Order Systems: Bifurcations, Synchronization, and Chaos
edited by Joaquin Alvarez and J. Pena-Ramirez
submission deadline 15 Jan 2025 | Viewed by 173 | Submission Open
Keywords: stability; oscillators; complex networks; chaos; bifurcation; synchronization; emergent behavior; fractional order neural networks
(This special issue belongs to the Section Complexity)
Fractal and Fractional in Geomaterials, 2nd Edition
edited by Yifei Sun
submission deadline 15 Jan 2025 | Viewed by 64 | Submission Open
Keywords: fractal media; fractional mechanics; micro-to-macro. geomaterials; nonconventional approach
(This special issue belongs to the Section Engineering)
Advances in Pattern Recognition—Image and Time Series Analyses—through Fractal Geometry and Complexity Theory
edited by Lucas C. Ribas, Leonardo F. S. Scabini and
submission deadline 17 Jan 2025 | 1 articles | Viewed by 818 | Submission Open
Keywords: complex systems; pattern recognition; image processing; fractal descriptors; neural networks; network science
Fractional-Order Learning Systems: Theory, Algorithms, and Emerging Applications submission deadline 20 Jan 2025 | Viewed by 22 | Submission Open
Keywords: fractional-order learning systems; fractional-order calculus; signal processing; information processing; machine learning; control agorithms; modern circuits
(This special issue belongs to the Section Optimization, Big Data, and AI/ML)
Fractal Analysis and Its Applications in Rock Engineering
edited by , and Gaofeng Liu
submission deadline 31 Jan 2025 | 6 articles | Viewed by 4806 | Submission Open
Keywords: fractal analysis and modeling; fragmentation; rock mechanics; rock fractures; rock microstructures; rock engineering  ; geomechanical processes; engineering application
(This special issue belongs to the Section Engineering)
Advances in Fractional-Order Chaotic and Complex Systems
edited by , and
submission deadline 31 Jan 2025 | 1 articles | Viewed by 580 | Submission Open
Keywords: fractional-order theory; fractional-order systems; complex systems; chaos; chaotic systems; chaos applications; non-linear systems; neural networks
(This special issue belongs to the Section Complexity)
Metric Spaces with Its Application to Fractional Differential Equations
edited by Khurram Shabbir, Monica-Felicia Bota and
submission deadline 14 Feb 2025 | 5 articles | Viewed by 5660 | Submission Open
Keywords: metric spaces; fixed points theorems; well-posedness; stability; fractional differential equations with different kernels; fractal patterns; statistical convergence; decision making problems; numerical and computational methods; mathematical physics; mathematics in biology; intuitionistic fuzzy relations
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Elliptic and Parabolic Equations: Analysis and Related Topics
edited by Wenxiong Chen and Leyun Wu
submission deadline 14 Feb 2025 | Viewed by 104 | Submission Open
Keywords: fractional elliptic equations; fractional parabolic equations; fractional laplacian; non-local operators; variational method; multiplicity numerical analysis; applications of fractional equations; nonlinearity; symmetry; monotonicity; a priori estimate; existence; non-existence; uniqueness; classification; method of moving planes; sliding method; etc.
(This special issue belongs to the Section General Mathematics, Analysis)
Recent Advances in Fractional Fourier Transforms and Applications, 2nd Edition submission deadline 25 Feb 2025 | Viewed by 18 | Submission Open
Keywords: fractional Fourier transform; linear canonical transform; digital signal processing; fractional integral operator; partial differential equations
(This special issue belongs to the Section General Mathematics, Analysis)
Mathematical and Physical Analysis of Fractional Dynamical Systems
edited by Dimplekumar Chalishajar and Kasinathan Ravikumar
submission deadline 28 Feb 2025 | 7 articles | Viewed by 7455 | Submission Open
Keywords: functional differential and integral systems with applications; fractional PDE with applications; fractional numerical analysis and numerical simulations; oscillation/nonoscillation; feedback control and various stability analysis; boundary value problems; Markov chain process; jump processes; coupled dynamics; fractional processes; space-time fractional equations; fractional Brownian motion and Rosenblatt process; long-range dependence; time– space fractional vibration equation; convergence; eigenvalue; green function
(This special issue belongs to the Section Engineering)
Fractals in Biophysics and Their Applications
edited by Anirban Bandyopadhyay
submission deadline 28 Feb 2025 | Viewed by 261 | Submission Open
Keywords: quantum mechanics; quantum biology; biophysics; biophotonics; bioelectronics; neuroscience; brain dynamics; fractal analysis in medicine; water network in biology
(This special issue belongs to the Section Life Science, Biophysics)
Analysis and Applications of Fractional Calculus and Mathematical Modelling submission deadline 31 Mar 2025 | Viewed by 74 | Submission Open
Keywords: fractional calculus; fractional differential and integral equations; fractional models; mathematical modelling; fractional dynamics; modeling simulation; process control; application of fractional calculus; focusing on modeling and optimization.
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional-Order Controllers in Electronics and Automation Engineering
edited by and Didier López-Mancilla
submission deadline 30 Apr 2025 | 3 articles | Viewed by 2750 | Submission Open
Keywords: fractional-order calculus; fractional-order control; fractional-order approximations; fractional-order implementation tuning of; fractional-order controllers
(This special issue belongs to the Section Engineering)
Enhancing Pain Assessment and Anesthesia Management: Fractional Modeling with AI
edited by
submission deadline 30 Apr 2025 | Viewed by 31 | Submission Open
Keywords: anesthesia and fractional calculus and AI; pain and fractional calculus and AI; neuro monitoring; fractional calculus
(This special issue belongs to the Section Life Science, Biophysics)
Fractal Analysis and Its Applications in Materials Science submission deadline 30 Apr 2025 | Viewed by 17 | Submission Open
Keywords: fractal analysis; fractal materials; fractals media; metamaterial characterization; acoustic characterization; porous materials; micropolar materials; poroelastic /elastic materials; solid and fluid mechanics; self-similar media; fractal analysis and applications in materials science
(This special issue belongs to the Section Engineering)
Fractional Systems, Integrals and Derivatives: Theory and Application submission deadline 30 Jun 2025 | Viewed by 183 | Submission Open
Keywords: fractional derivatives of constant order; distributed order fractional derivative; variable order fractional derivative; fractional differential equations/systems; functional-differential equations/systems; stability analysis of fractional-order systems
(This special issue belongs to the Section General Mathematics, Analysis)
Multi-scale and Fractal Research on Advanced Manufacturing and Tribology
edited by and
submission deadline 30 Jun 2025 | Viewed by 40 | Submission Open
Keywords: manufacturing; rough surfaces; fractal method; multi-scale approach; tribology; contact mechanics; wear; friction; lubrication
(This special issue belongs to the Section Engineering)
Recent Advances in Fractional-Order Equations and Their Applications in Modern Energy Systems
edited by Zhe Gao, Xiaoting Gao and Enchang Cui
submission deadline 15 Jul 2025 | Viewed by 274 | Submission Open
Keywords: fractional-order control theory in modern energy systems; theoretical frameworks and foundations of fractional-order equations in modern energy systems; fractional-order modeling and analysis of modern energy systems; fractional-order control systems and implementation of modern energy systems; applications of fractional-order equations in renewable energy sources; fractional-order control and optimization of energy systems; fractional-order dynamics in energy storage and energy conversion systems; case studies and implementations of fractional-order models in energy systems; energy storage systems; supercapacitors and batteries; and hybrid energy storage
(This special issue belongs to the Section Engineering)
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