Fractal and Fractional

Fractional Calculus Applications for Signal Processing and Data Science

edited by

and

submission deadline 15 Feb 2026 | 2 articles | Viewed by 2049 | Submission Open

Keywords: fractional calculus; fractional transfer functions/Bode diagrams; fast numerical algorithms for fractional calculus; fractional signal processing in time and frequency domains; image processing and fractional techniques; embedded systems implementation of fractional operators; fractional filters design and implementation; fractional-order algorithms in AI; data science applications of fractional calculus; machine learning with fractional operators

Harmonic and Geometric Analysis for Fractional Equations

edited by Leandro Tavares and Alessio Fiscella

submission deadline 25 Feb 2026 | 1 articles | Viewed by 424 | Submission Open

Keywords: fractional equations; fractional operators; fractional derivatives; harmonic analysis; geometric analysis; regularity estimates; fractional Laplacian; geometric aspects of fractional equations; variational methods; existence of solutions; multiplicity

(This special issue belongs to the Section General Mathematics, Analysis)

Fractal Analysis and Its Applications in Rock Engineering, Second Edition

edited by

Xiaohan Yang

,

Lihai Tan

and Gaofeng Liu

submission deadline 28 Feb 2026 | 4 articles | Viewed by 2050 | 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)

Fractal Mechanics of Engineering Materials, 2nd Edition

edited by

Mohd Nasir Tamin

and

Seyed R. Koloor

submission deadline 28 Feb 2026 | 1 articles | Viewed by 1439 | Submission Open

Keywords: fractal analysis; fractal dimension; fractal mechanics; continuum mechanics; fracture mechanics; fatigue and fatigue crack growth; damage mechanics; experimental mechanics

Advances in Fractional Modeling and Computation, Second Edition

edited by

,

,

and

submission deadline 28 Feb 2026 | Viewed by 102 | Submission Open

Keywords: fractional models in natural sciences; fractional models in economics and engineering; numerical algorithms and discretization; fractional differential systems with control theory; fractional dynamic systems; analysis of fractional models; stochastic methods for fractional models; Monte Carlo methods; Markov chains and processes; stochastic modeling and simulation; related fractional models

(This special issue belongs to the Section Numerical and Computational Methods)

Advances in Fractal and Multifractal Analysis Driven by Machine Learning Approaches

edited by Lyudmyla Kirichenko

submission deadline 28 Feb 2026 | Viewed by 16 | Submission Open

Keywords: fractal/multifractal analysis; self-similarity; time series; long-term memory; scaling properties; artificial intelligence; machine learning; deep learning; complexity analysis; anomaly detection; feature extraction; applications

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Theoretical and Numerical Methods for Fractional and Nonlocal Partial Differential Equations

edited by

Giuseppe Di Fazio

and Giovanni Molica Bisci

submission deadline 28 Feb 2026 | Viewed by 16 | Submission Open

Keywords: nonlocal equations; fractional models; numerical methods; variational methods; regularity theory

(This special issue belongs to the Section General Mathematics, Analysis)

Stochastic Models, Fractional Calculus and Non-Local Operators: Theoretical Results and Applications

edited by Enrica Pirozzi, Luisa Beghin, Janusz Gajda and Lauri Viitasaari

submission deadline 1 Mar 2026 | 1 articles | Viewed by 331 | Submission Open

Keywords: statistical analysis of fractional models; fractional Brownian motion; fractional diffusion processes; fractional stochastic differential equations

(This special issue belongs to the Section General Mathematics, Analysis)

Fractal Applications in Thermal Engineering

edited by Qingyong Zhu

submission deadline 10 Mar 2026 | Viewed by 71 | Submission Open

(This special issue belongs to the Section Engineering)

Advances in Fractional-Order Control with Special Focus to Power Systems

edited by

Martin Čech

submission deadline 14 Mar 2026 | 1 articles | Viewed by 1882 | Submission Open

Keywords: fractional-order controllers; fractional-order PID controllers; fractional-order systems; adaptive fractional-order control; robust control; advanced process control; power systems; control performance assessment; system identification

(This special issue belongs to the Section Engineering)

Fractal and Fractional Analysis in Biomedical Sciences and Engineering, 2nd Edition

edited by

Andjelija Ž. Ilić

and

Corina S Drapaca

submission deadline 15 Mar 2026 | Viewed by 105 | Submission Open

Keywords: fractal and multifractal analysis; fractal lacunarity analysis; fractional calculus; fractional differential equations; convergence and stability analysis; biological system complexity; non-linear biosystem dynamics; medical image and data analysis; neural networks and graphs; long-term correlation tracking

Applications of General Fractional Calculus Models: Insights into Viscoelasticity and Wave Propagation

edited by Yiying Feng,

Jiangen Liu

, Yiming Wang and

Alex Elías-Zúñiga

submission deadline 20 Mar 2026 | 7 articles | Viewed by 3996 | Submission Open

Keywords: general fractional calculus; integration of mathematics and engineering; fractional rheological models; fractal dimensional space; nonlinear theory; fractional wave propagation models

(This special issue belongs to the Section Engineering)

Efficient Development of Geo-Energy and Carbon Sequestration in Fractal Geo-Systems: New Challenges

edited by Zhongwei Wu, Chuanzhi Cui and

Japan Trivedi

submission deadline 20 Mar 2026 | 2 articles | Viewed by 1557 | Submission Open

Keywords: geo-energy development; fractal geometry; CCUS/CCS; data analysis technology; production enhancement technologies; multi-phase flow discipline; water– rock reaction in fractal systems

(This special issue belongs to the Section Engineering)

Analysis and Applications of Fractional Calculus and Mathematical Modelling

edited by

Marcelo Kaminski Lenzi

submission deadline 31 Mar 2026 | 4 articles | Viewed by 3581 | 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 Modelling of Dynamical Systems

edited by

Zubair Ahmad

submission deadline 31 Mar 2026 | 3 articles | Viewed by 1946 | Submission Open

Keywords: fractional derivatives; numerical methods of fractional order systems; fractional dynamical systems; stability analysis; fractional models in fluid dynamics; disease dynamics and epidemiology; fractional modelling with applications

(This special issue belongs to the Section Engineering)

Metric Spaces with Its Application to Fractional Differential Equations, Second Edition

edited by Monica-Felicia Bota,

Liliana Guran

and

Khurram Shabbir

submission deadline 31 Mar 2026 | Viewed by 514 | 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)

Fractal and Multifractal Analysis in Geophysics and Petrophysics: Theory, Methods, and Applications

edited by

Peiqiang Zhao

, Lingyun Kong and

Mehdi Ostadhassan

submission deadline 31 Mar 2026 | Viewed by 380 | Submission Open

Keywords: porous media; fractal and multifractal; petrophysics; geophysics; rock mechanics; unconventional resources

(This special issue belongs to the Section Engineering)

Fractional Calculus in Signal, Imaging Processing and Machine Learning, 2nd Edition

edited by

Yi-Fei Pu

submission deadline 31 Mar 2026 | Viewed by 225 | Submission Open

Keywords: fractional-order signal processing; fractional-order image processing; fractional-order machine learning; fractional-order computing law; fractional-order neuromorphic computing

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Fractal Dimensions and Their Implications in Characterization of Porous Media

edited by

Boming Yu

, Boqi Xiao and

Dahua Shou

submission deadline 31 Mar 2026 | Viewed by 41 | Submission Open

Keywords: fractal; porous media; thermal conductivity; permeability; electrical conductivity; diffusivity; pore-fracture media

(This special issue belongs to the Section Engineering)

Advances in Fractional-Order Control for Nonlinear Systems

edited by

Masoud Sotoodeh-Bahraini

and

Pedro Ferreira

submission deadline 31 Mar 2026 | Viewed by 32 | Submission Open

Keywords: fractional-order control; nonlinear systems; fractional calculus; variable-order controllers; adaptive control; robust control; stability analysis; Lyapunov methods; fractional PID controllers; backstepping control; memory-dependent systems; hybrid fractional– integer control; computational complexity in control; real-time control systems; human– robot interaction; power electronics control; biomedical systems control; mechatronic systems; industrial automation; process control

(This special issue belongs to the Section Engineering)

Advances in Fractional Order Signal Processing: Theory and Methods

edited by Yuan-Min Li and Deyun Wei

submission deadline 31 Mar 2026 | Viewed by 30 | Submission Open

Keywords: fractional integral transform; sparse fractional order transform; sparse representation and fast algorithm; graph transform; sampling and filtering; convolutional neural network; digital signal processing

(This special issue belongs to the Section Engineering)

Advanced Numerical Methods for Fractional Functional Models

edited by

Kamyar Hosseini

,

Khadijeh Sadri

,

Evren Hınçal

,

Soheil Salahshour

and Farzaneh Alizadeh

submission deadline 30 Apr 2026 | 4 articles | Viewed by 3801 | 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)

Fractal Analysis and Its Applications in Materials Science

edited by

Zine El Abiddine Fellah

submission deadline 30 Apr 2026 | 2 articles | Viewed by 1691 | 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)

Mathematical and Physical Analysis of Fractional Dynamical Systems, Second Edition

edited by Dimplekumar Chalishajar and Kasinathan Ravikumar

submission deadline 30 Apr 2026 | 5 articles | Viewed by 1263 | 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)

Fractional Differential Equations: Computation and Modelling with Applications, 2nd Edition

edited by Rajarama Mohan Jena and

Snehashish Chakraverty

submission deadline 30 Apr 2026 | Viewed by 164 | Submission Open

Keywords: fractional derivatives and integrals; fractional operators; fractal– fractional derivatives and integrals; mathematical modelling; computational efficient methods; uncertainty and artificial intelligence; non-singular kernels

Fractional-Order Modeling and Control for Complex Dynamic Systems: Methodologies and Applications

edited by Necdet Sinan Özbek,

Ying Luo

and

Yangquan Chen

submission deadline 30 Apr 2026 | Viewed by 136 | Submission Open

Keywords: fractional-order systems; fractional calculus; complex dynamic systems; fractional-order control; non-integer order modeling; robust control; adaptive control; sliding mode control; stability analysis; system identification; memory and hereditary systems; numerical methods for fractional systems; networked and distributed systems; machine learning in fractional control; biomedical applications of fractional models; energy systems modeling; optimization in fractional-order systems; time-domain and frequency-domain analysis

(This special issue belongs to the Section Engineering)

New Perspectives and Applications of Fractional Order Modeling in Energy Systems

edited by

Marco Antonio Polo-Labarrios

submission deadline 30 Apr 2026 | Viewed by 55 | Submission Open

Keywords: fractional order differential equations; fractional modeling; fractional dynamics; anomalous transport; thermal memory effects; multiscale energy systems; fractional simulation; numerical algorithms in fractional calculus

(This special issue belongs to the Section Engineering)

Artificial Intelligence and Fractional Modelling for Energy Systems

edited by

Alejandro Ramos Martín

and

Federico León Zerpa

submission deadline 30 Apr 2026 | Viewed by 46 | Submission Open

Keywords: adaptive and learning algorithms; digital twin behaviour-matching algorithms; fractional-order modelling; optimisation methods; edge artificial intelligence; AI at the Edge; AI on the Edge; edge computing with AI; peripheral AI; peripheral artificial intelligence; decentralised AI computing; real-time AI; low-latency AI processing; real-time AI inference; AI in embedded systems; edge machine learning (Edge ML); AI for smart sensors

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Fractal Dimension Analysis in Brain Function: From Basic Mechanisms to Clinical Frontiers

edited by

Camillo Porcaro

submission deadline 1 May 2026 | Viewed by 89 | Submission Open

Keywords: innovative methods for FD extraction and analysis in neural signals; FD-driven improvements in BCI design and decoding strategies; personalised neuromodulation by tailoring NIBS interventions using FD metrics; FD as a non-invasive biomarker for early diagnosis and monitoring of neurological and psychiatric disorders; multimodal and cross-modal applications combining FD with EEG; MEG; fMRI; and TMS; new theoretical frameworks linking brain criticality; fractal geometry; and functional connectivity

(This special issue belongs to the Section Life Science, Biophysics)

Distributed Control and Optimization of Fractional-Order Systems: Theory and Applications

edited by Jun Shen and Cuihong Wang

submission deadline 16 May 2026 | 1 articles | Viewed by 1322 | Submission Open

Keywords: fractional-order systems; fractional-order nonlinear systems; control theory and control engineering; optimal control; distributed control; multi-agent systems; cyber-physical systems; stability of dynamic systems

(This special issue belongs to the Section Engineering)

Fractal Dynamics of Complex Systems in Society and Behavioral Science

edited by

Trung V. Phan

and Mingshu Peng

submission deadline 20 May 2026 | Viewed by 24 | Submission Open

Keywords: fractal dynamics; scale free; collective behavior; self-organization; adaptive and intelligent systems

(This special issue belongs to the Section Life Science, Biophysics)

Data-Driven Modeling, Prediction and Control of Fractional-Order Systems

edited by Fudong Ge,

Ying Luo

and

Yangquan Chen

submission deadline 30 May 2026 | Viewed by 149 | Submission Open

Keywords: fractional-order systems; fractional-order ODE systems; fractional-order PDE systems; data-driven modeling and identification; data-driven learning and prediction; data-driven controller design; artificial intelligence/machine learning

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Mathematical and Computational Approaches to Fractal and Fractional Systems Using Fixed Point Theory

edited by

Ljubiša D. R. Kočinac

and

Tayyab Kamran

submission deadline 31 May 2026 | Viewed by 33 | Submission Open

Keywords: fixed points; contraction mappings; fractal analysis; integral equations; fractional differential equations; optimization; topological spaces; decision making; best proximity points; stability analysis; image processing; fuzzy metric spaces; mathematical modeling

(This special issue belongs to the Section General Mathematics, Analysis)

Numerical Analysis and Iterative Methods for Fractional Differential Equations

edited by Mudassir Shams and

Bruno Carpentieri

submission deadline 13 Jun 2026 | 1 articles | Viewed by 845 | Submission Open

Keywords: fractional differential equations; fractional-order differential equations; nonlinear fractional equations; fuzzy fractional differential equations; numerical methods and computational techniques; stability and consistency; local and global convergence; iterative methods; dynamical behaviors; topological methods; hybrid block methods; comparative analysis; error analysis and adaptive methods; applications of fractional differential equations in systems and signal processing; applications of nonlinear fractional equations in physics; biology; and engineering

(This special issue belongs to the Section Numerical and Computational Methods)

Pore Structure and Fractal Characteristics in Unconventional Oil and Gas Reservoirs, 2nd Edition

edited by

Zine El Abiddine Fellah

, Jizhen Zhang and

Quanzhong Guan

submission deadline 15 Jun 2026 | Viewed by 71 | Submission Open

Keywords: pore structure; pore heterogeneity; complexity; fractal characteristics; microstructures; fractal cracks

(This special issue belongs to the Section Engineering)

Fractional Mathematical Modelling: Theory, Methods, and Applications—2nd Edition

edited by

Zeeshan Ali

and

Sandra Pinelas

submission deadline 16 Jun 2026 | Viewed by 169 | Submission Open

Keywords: fractional mathematical modeling; fractional differential and integral equations; novel fractional-order operators and their properties; existence and uniqueness of solutions; analytical techniques for fractional systems; numerical methods and computational algorithms; stability and control of fractional-order systems; real-world applications across science and engineering; integration with machine learning; stochastic analysis; and hybrid modeling; interdisciplinary modeling of complex systems

(This special issue belongs to the Section Numerical and Computational Methods)

Fractional Gravity/Cosmology in Classical and Quantum Regimes, Second Edition

edited by

Seyed Meraj Mousavi Rasouli

and

Shahram Jalalzadeh

submission deadline 30 Jun 2026 | 2 articles | Viewed by 2649 | Submission Open

Keywords: fractional calculus; fractional derivatives; riesz fractional operator; caputo fractional operator; fractional Brownian motion; levy path integrals; fractional-action-like variational approach; fractional quantum mechanics; fractional classical cosmology; fractional quantum cosmology; non-local operators

(This special issue belongs to the Section Mathematical Physics)

Fractals in Earthquake and Atmospheric Science

edited by

Dimitrios Nikolopoulos

submission deadline 30 Jun 2026 | Viewed by 42 | Submission Open

Keywords: fractals; self-organised systems; non-linear dynamics and chaos; radon; electromagnetism; geodesy; urban air pollution; earthquakes; modelling and simulation; data analysis: algorithms and implementation

(This special issue belongs to the Section Mathematical Physics)

Fractional Differential Operators with Classical and New Memory Kernels, Second Edition

edited by

Dimiter Prodanov

and

Jordan Hristov

submission deadline 30 Jun 2026 | Viewed by 33 | Submission Open

Keywords: fractional operators; memory kernels; biomechanical and medical models; heat and mass transfer; analysis; special functions; and kernels; numerical and computational methods; analytical solution methods: exact and approximate; modeling approaches with nonlocal (fractional) operators; probability and statistics based on nonlocal approaches; mathematical physics: heat; mass; and momentum transfer; engineering applications and image processing; life science; biophysics; and complexity

(This special issue belongs to the Section General Mathematics, Analysis)

Computational and Analytical Approaches in Fractional Calculus for Big Data and Digital Twins

edited by

Cecília Coelho

, Maria Fernanda Pires da Costa and

Luís Lima Ferrás

submission deadline 30 Jun 2026 | Viewed by 22 | Submission Open

Keywords: fractional calculus; fractional differential equations; computational modeling; numerical methods; machine learning; big data; digital twins; engineering; physics

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Applications of Fractal Interpolation in Mathematical Functions

edited by

Cristina Pacurar

and

Peter Massopust

submission deadline 31 Jul 2026 | Viewed by 58 | Submission Open

Keywords: fractal interpolation functions (FIFs); fractal functions and surfaces; iterated function systems (IFS); self-similarity and nonlinearity; self-affine and self-conformal structures; fractal approximation and modeling; function approximation; irregular and complex data modeling; signal and image processing; data fitting and curve reconstruction; mathematical and computational algorithms; applications in engineering; finance; biology; and natural sciences; multifractal analysis; function spaces and interpolation theory; fractal geometry in applied mathematics

(This special issue belongs to the Section General Mathematics, Analysis)

Applications of Fractal Analysis in Underground Engineering, Second Edition

edited by

,

,

,

, Defu Zhu and Kaijun Miao

submission deadline 31 Jul 2026 | Viewed by 4 | Submission Open

Keywords: fractal analysis; fractal characteristics; data fractal processing; rock mechanics; rock engineering; under engineering; water/gas/heat conduction; joints; fractures and voids; fluid migration; chaos and roughness; image processing process; entropy

(This special issue belongs to the Section Engineering)

Stochastic Dynamical Systems with Fractional Derivative: Theoretical Analysis and Numerical Simulation

edited by

Wei Li

and Nataša Trišović

submission deadline 15 Aug 2026 | Viewed by 50 | Submission Open

Keywords: fractional calculus; fractional integration; fractional derivative; stochastic dynamical systems; stabilization; system response; fractional-order controller

(This special issue belongs to the Section Engineering)

Fractional and Fractal Methods in Biomedical Imaging and Time Series Learning

edited by

Ziyang Wang

, Chengjun Wang and Jiabao Li

submission deadline 31 Aug 2026 | Viewed by 204 | Submission Open

Keywords: fractional calculus; medical robotic control; biomedical signal processing; medical image analysis; time series machine learning

(This special issue belongs to the Section Optimization, Big Data, and AI/ML)

Fractal and Fractional Order Modeling of Real-World Phenomena

edited by

Stefan Balint

submission deadline 31 Aug 2026 | Viewed by 13 | Submission Open

Keywords: Mandelbrot's fractals; discrete difference equations; fractional order continuous differential equations; mathematical modeling; real-world systems; continuous and discrete models; fractional calculus

(This special issue belongs to the Section General Mathematics, Analysis)

Advances in Fractional Dynamics and Their Applications in Seismology

edited by

Jidong Yang

and Bingluo Gu

submission deadline 31 Dec 2026 | Viewed by 40 | Submission Open

Keywords: fractional wave equation; fractional laplacian; time-/space-domain fractional derivatives; seismic modeling; imaging; and inversion

(This special issue belongs to the Section Mathematical Physics)

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