Fractal and Fractional

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 and all Special Issue submissions follow MDPI's standard editorial process. The journal’s Editor-in-Chief and/or designated Editorial Board Member 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. Further information on MDPI's Special Issue policies and Guest Editor responsibilities can be found here. For any inquiries related to a Special Issue, please contact the Editorial Office.

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Advances in Dynamics and Control of Fractional-Order Systems, 2nd Edition

edited by Ruihong Li

submission deadline 31 Jul 2027 | Submission Open

Keywords: fractional-order systems; nonlinear dynamics; bifurcation and stability analysis; resonance analysis; chaos synchronization; advanced control strategies; system identification; uncertain stochastic systems

(This special issue belongs to the Section Engineering)

Fractional-Order Multi-Agent Systems: Theory, Control, and Applications

edited by Ping Gong

submission deadline 31 Aug 2027 | 1 articles | Viewed by 306 | Submission Open

Keywords: fractional-order calculus; multi-agent systems (MASs); cooperative control; consensus algorithms; distributed optimization; anomalous dynamics; robust control; swarm intelligence; complex networks; non-Markovian processes

(This special issue belongs to the Section Engineering)

Multifractal and Time Series Analysis: Theory and Applications

edited by Fernando Henrique Antunes De Araújo

submission deadline 31 Aug 2027 | Viewed by 165 | Submission Open

Keywords: fractal analysis; multifractal analysis; fractional dynamics; complex systems; complex time series; scaling laws; long-range dependence; nonlinear dynamics; multifractal detrended fluctuation analysis; complex networks; econophysics; interdisciplinary applications

(This special issue belongs to the Section Complexity)

Neural Network Methods for Fractional Nonlinear PDEs: Symmetry, Dynamics, and Fractal Applications

edited by

Zhao Li

and

Lu Tang

submission deadline 31 Aug 2027 | Viewed by 111 | Submission Open

Keywords: physics-informed neural networks (PINNs); fractional partial differential equations; deep learning; symmetry analysis; soliton solutions; fractal geometry; anomalous diffusion; dynamical systems; numerical approximation; complex systems

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

Fractal Theory and Complexity Science: From Multiscale Modeling to Real-World Applications

edited by Hongjian Zhu, Tao Hu and Hongye Feng

submission deadline 31 Aug 2027 | Viewed by 61 | Submission Open

Keywords: fractal theory; complexity science; multiscale modeling; nonlinear systems; porous media; unconventional reservoirs; pore-fracture networks; petrophysical characterization; machine learning; digital rock physics

(This special issue belongs to the Section Complexity)

Fractional Fourier and Wavelet Transform Methods for Holography, Imaging, and Signal Processing

edited by

Matthias Ehrhardt

Sergey Pereselkov

and Venedikt Kuz'kin

submission deadline 31 Aug 2027 | Viewed by 40 | Submission Open

Keywords: fractional Fourier transform; wavelet transform; time–frequency analysis; holography; wave propagation; inverse problems; acoustic imaging; optical imaging; signal and image processing; multiresolution analysis

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

Fractional Differential Equations and Complex Dynamical Systems: PDEs, Delays, Stochasticity, and Quantum Applications

edited by

Marek Lampart

and Ali Raza

submission deadline 31 Aug 2027 | Submission Open

Keywords: fractional calculus; fractional differential equations; fractional partial differential equations; fractional delay differential equations; stochastic fractional differential equations; nonlinear fractional dynamical systems; memory and nonlocal effects; variable- and distributed-order derivatives; stability and bifurcation analysis; numerical methods for fractional systems; fractional Brownian motion; uncertainty quantification and parameter estimation; fractional mathematical biology and epidemiology; fractional fluid dynamics and transport; fractional control and optimal control; fractional quantum mechanics; quantum algorithms for differential equations; hybrid quantum–classical methods; physics-informed neural networks; scientific machine learning and data-driven modeling

(This special issue belongs to the Section Complexity)

Fractal Geometry in Engineering Design and Manufacturing

edited by

Juan Benito Pascual-Francisco

and

Orlando Huerta

submission deadline 31 Oct 2027 | Viewed by 212 | Submission Open

Keywords: fractal geometry; metamaterials; additive manufacturing; vibration mitigation; energy absorption; wave propagation control; lightweight structures

(This special issue belongs to the Section Engineering)

New Perspectives on Epidemic Modeling Through Fractional Calculus

edited by

Anwarud Din

submission deadline 30 Nov 2027 | Viewed by 627 | Submission Open

Keywords: fractional calculus; fractional-order epidemic modeling; memory effects; nonlinear dynamics; fractional-order stochastic epidemic models; stochastic and hybrid epidemic models; complex system

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

Fractal Geometry in Antenna Design and Electromagnetic Applications

edited by

Jaume Anguera

Tanweer Ali

and Jeevani Jayasinghe

submission deadline 31 Dec 2027 | Viewed by 47 | Submission Open

Keywords: small/multiband/high directivity fractal-based antennas; self-similarity applied to antennas and electromagnetics; box-counting dimension applied to antennas and microwave; fracton and fractino modes in antenna design; fractal for electromagnetic applications

(This special issue belongs to the Section Engineering)

Displaying special issue 151-200 on page 4 of 4.

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