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 Fractal Analysis for Financial Risk Assessment

edited by

Valentin Radu

and

Catalin Dumitrescu

submission deadline 31 Oct 2026 | 1 articles | Viewed by 738 | Submission Open

Keywords: fractal analysis; fractional processing; financial risk assessment; multifractality in financial markets; systemic risk; machine learning and fractals; volatility modeling and prediction

(This special issue belongs to the Section Probability and Statistics)

Numerical Simulations of Dynamic Behaviors and Control Design in Fractional Engineering Applications

edited by

José Manoel Balthazar

Angelo Marcelo Tusset

Hugo Valadares Siqueira

and Jeferson José de Lima

submission deadline 31 Oct 2026 | Viewed by 271 | Submission Open

Keywords: fractional calculus; numerical simulations; dynamic behaviors; control design; sensitivity analysis; fractional programming; fractional-order systems; optimization techniques

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

Recent Advances in Fractal Analysis for Hydrocarbon Dynamics and Flow Modeling

edited by

Meng Wang

and

Weidong Xie

submission deadline 31 Oct 2026 | Viewed by 252 | Submission Open

Keywords: fractal and fractional theory; fractal characteristics; gas dynamics; flow modeling; CO2 sequestration; pore structure; unconventional reservoirs; oil and gas migration

Feature Papers for Mathematical Physics Section 2026

edited by

Haci Mehmet Baskonus

submission deadline 31 Oct 2026 | Viewed by 101 | Submission Open

Keywords: engineering problems; analytical methods; numerical methods; computational mathematics; nonlinear system and applied in physics; information science; communications theory; bioinformatics; health problems; networks; physics; engineering and applied sciences; economy; statistics; fractals; fractional calculus; nonlinear dynamical systems; graph theory; statistical learning theory; computation topics on energy and environmental science; artificial intelligence; data science; discrete dynamical system

(This special issue belongs to the Section Mathematical Physics)

Fractional Order Modeling and Fault Detection in Complex Systems

edited by Li Wang

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

Keywords: fractional-order system identification; data-driven detection; industrial anomaly detection; fractional neural operators; edge intelligence for monitoring; fractional-order digital twin-based fault detection; fractional-order digital signal processing algorithms

(This special issue belongs to the Section Complexity)

Fractional Operators and Symmetries in Mathematical Physics

edited by Felix Silva Costa and

Gastão Silves Ferreira Frederico

submission deadline 31 Oct 2026 | Viewed by 22 | Submission Open

Keywords: lie symmetries; fractional calculus; conservation law; fractional differential equation; similarity solution; mathematical physics

(This special issue belongs to the Section Mathematical Physics)

Recent Advances in the Spatial and Temporal Discretizations of Fractional PDEs, Second Edition

edited by

Xian-Ming Gu

, Hongbin Chen and

Xiangcheng Zheng

submission deadline 14 Nov 2026 | 8 articles | Viewed by 6358 | Submission Open

Keywords: fractional PDEs; finite difference; finite element; finite volume; spectral methods; nonuniform and adaptive discretizations; adaptive space– time methods; parallel-in-time methods; numerical methods; numerical treatments of integro-differential equations; nonlocal modeling and computation; convolution quadratures; modeling and simulations

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

Fractional and Fractal Methods with Their Mechanics Applications

edited by

Helvio Mollinedo

, Lucero Damián-Adame and

Didier Samayoa Ochoa

submission deadline 30 Nov 2026 | Viewed by 246 | Submission Open

Keywords: fractals calculus; fractional calculus; fractal continuum; hurst exponent; cluster percolation; fractal dynamics; wave phenomena; time series; mechanical vibrations; thermal analysis

(This special issue belongs to the Section Mathematical Physics)

Connecting Quantum Computing and Fractal to Tackle Challenges in Medicine

edited by Consolato M. Sergi

submission deadline 30 Nov 2026 | Viewed by 47 | Submission Open

Keywords: quantum biology; quantum mechanics; biophysics; cancer; complexity; fractal characteristics; microstructures

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

Modeling and Dynamic Analysis of Fractional-Order Systems

edited by Li Ma and Fanhai Zeng

submission deadline 31 Dec 2026 | 4 articles | Viewed by 3183 | Submission Open

Keywords: stability and control of fractional-order systems; reductions for fractional-order systems; bifurcation and chaos in fractional-order systems; discrete-time or continuous-time fractional-order systems; modeling via fractional calculus; generalized fractional calculus; numerical methods for fractional-order systems

(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 | 1 articles | Viewed by 252 | 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)

Design and Applications of Fractional-Order Circuits and Filters

edited by

Dražen Jurišić

and

Costas Psychalinos

submission deadline 31 Dec 2026 | Viewed by 188 | Submission Open

Keywords: Cauer and Foster networks; fractional-order circuit theory; fractional-order control systems

(This special issue belongs to the Section Engineering)

Fractional Transform Methods in Complexity Analysis: Theory and Image Applications

edited by

Hao Zhang

submission deadline 31 Dec 2026 | Viewed by 68 | Submission Open

Keywords: complexity analysis; fractional theory; fractals theory; nonlinear dynamics; image encryption and coding; image compression; image watermarking and information hiding; image segmentation and processing; control and stability with complexities; AI methods in image processing

(This special issue belongs to the Section Complexity)

Fractional Order Modeling of Fluid Flow and Heat Transfer

edited by Razi Khan and

Zubair Ahmad

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

Keywords: fractional calculus; fractional differential equations (FDEs); viscoelastic fluid flow; non-Newtonian fluids; nanofluids; hybrid and trihybrid fluids; heat and mass transfer; magnetohydrodynamics (MHD); computational fluid dynamics (CFD); fractional disease dynamics and epidemiological modelling; artificial neural networks (ANNs); physics-informed neural networks (PINNs)

(This special issue belongs to the Section Mathematical Physics)

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

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