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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Modeling, Optimization, and Control of Fractional-Order Neural Networks and Nonlinear Systems
edited by , , Xin Wang and Xiao Cai
submission deadline 31 Dec 2024 | 7 articles | Viewed by 7485 | 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 | 5 articles | Viewed by 4153 | 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 | 2 articles | Viewed by 2155 | 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 1509 | 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 | 2 articles | Viewed by 1324 | 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 996 | 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 348 | 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 92 | Submission Open
Keywords: fractional dynamical systems; fractional inverse problems; fractional mathematical models; fractional PDEs; fractional operators
Fractal Geometry and Dynamical Systems
edited by and Saurabh Verma
submission deadline 31 Dec 2024 | Viewed by 45 | Submission Open
Keywords: iterated function systems; julia and mandelbrot sets; self-similar sets and measures; self-affine and self-conformal sets/measures; fractal interpolation functions; quantization dimension; box dimension; hausdorff dimension and Lq dimensions
(This special issue belongs to the Section Geometry)
Fractional Calculus Operators and the Mittag-Leffler Function, 2nd Edition
edited by
submission deadline 31 Dec 2024 | Viewed by 37 | 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 183 | 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 79 | Submission Open
Keywords: fractal media; fractional mechanics; micro-to-macro. geomaterials; nonconventional approach
(This special issue belongs to the Section Engineering)
New Trends on Generalized Fractional Calculus, 2nd Edition submission deadline 15 Jan 2025 | Viewed by 13 | Submission Open
Keywords: generalised fractional calculus; fractional calculus with general analytic kernels; ψ -fractional derivatives; weighted fractional derivatives; integral transforms; special functions; fractional inequalities; fractional ODE and PDE; initial and Boundary value problems
(This special issue belongs to the Section Numerical and Computational Methods)
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 1186 | 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 48 | 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 Theory Applications in the Contact Interface of Mechanical Equipment
edited by Shuangfu Suo, Min Huang and Qi An
submission deadline 25 Jan 2025 | Viewed by 20 | Submission Open
Keywords: fractal theory; contact interface; contact mechanics; surface topography; tribological properties; cross-scale
(This special issue belongs to the Section Engineering)
Fractal Analysis and Its Applications in Rock Engineering
edited by , and Gaofeng Liu
submission deadline 31 Jan 2025 | 6 articles | Viewed by 6007 | 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)
Fractional-Order Chaotic System: Control and Synchronization, 2nd Edition submission deadline 31 Jan 2025 | 5 articles | Viewed by 5789 | Submission Open
Keywords: fractional-order; complex systems; chaos; synchronization; control; stabilization; consensus; identification; modelling
(This special issue belongs to the Section Complexity)
Advances in Fractional-Order Chaotic and Complex Systems
edited by , and
submission deadline 31 Jan 2025 | 1 articles | Viewed by 959 | 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 6001 | 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 136 | 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 45 | 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 7859 | 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 271 | 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)
Mathematical Description of Human Nervous System Using Fractals, Fractional and Integer Order Calculus
edited by
submission deadline 28 Feb 2025 | Viewed by 28 | Submission Open
Keywords: human nervous system; mathematical description using fractals; mathematical description using integer order and fractional order calculus
(This special issue belongs to the Section Life Science, Biophysics)
Fractional- and Integer-Order System: Control Theory and Applications, 2nd Edition
edited by , , , Bijnan Bandyopadhyay and
submission deadline 31 Mar 2025 | 1 articles | Viewed by 1678 | Submission Open
(This special issue belongs to the Section Engineering)
Biocomplexity and Fractal Analysis: Theory and Applications submission deadline 31 Mar 2025 | 1 articles | Viewed by 841 | Submission Open
Keywords: biocomplexity; fractal analysis; biomathematical modeling; computer-aided diagnosis; biomarker; computational tools; biomedical imaging
(This special issue belongs to the Section Complexity)
New Advances and Applications of Fractional Oscillate System
edited by Liang Wang
submission deadline 31 Mar 2025 | Viewed by 302 | Submission Open
Keywords: fractional calculus; fractional-order oscillate systems; stochastic dynamical systems; vibro-impact system; stochastic bifurcation and chaos
(This special issue belongs to the Section Engineering)
Analysis and Applications of Fractional Calculus and Mathematical Modelling submission deadline 31 Mar 2025 | Viewed by 90 | 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 Dynamics and Control in Green Energy Systems
edited by Manashita Borah and
submission deadline 18 Apr 2025 | Viewed by 341 | Submission Open
Keywords: fractional-order chaos; energy storage systems; dynamics; control systems; energy storage systems; biological systems; renewable energy applications; energy-efficient robots; green transportation
(This special issue belongs to the Section Engineering)
Fractional-Order Controllers in Electronics and Automation Engineering
edited by and Didier López-Mancilla
submission deadline 30 Apr 2025 | 3 articles | Viewed by 3153 | 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 73 | 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 63 | 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)
Advanced Numerical Methods for Fractional Functional Models
edited by , , , and Farzaneh Alizadeh
submission deadline 30 Apr 2025 | Viewed by 16 | Submission Open
Keywords: numerical methods; approximation methods; fractional differential equations; fractional partial differential equations; fractional integral equations; fractional functional models
(This special issue belongs to the Section Numerical and Computational Methods)
Mathematical Inequalities in Fractional Calculus and Applications, 2nd Edition
edited by and
submission deadline 31 May 2025 | Viewed by 8 | Submission Open
Keywords: fractional calculus; caputo derivative; riemann-liouville derivative; discrete fractional calculus; fractals; fractional differential equations; mathematical inequalities; time scales
(This special issue belongs to the Section General Mathematics, Analysis)
Fractional Systems, Integrals and Derivatives: Theory and Application submission deadline 30 Jun 2025 | 1 articles | Viewed by 583 | 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 69 | 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 360 | 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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