Fractal and Fractional — Editors


Prof. Dr. Carlo Cattani
Engineering School (DEIM) University of Tuscia, 01100 Largo dell'Università, Viterbo, Italy
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Interests: wavelets; fractals; fractional calculus; dynamical systems; data analysis; time series analysis; image analysis; computer science; computational methods; composite materials; elasticity; nonlinear waves
Special Issues and Collections in MDPI journals

Editorial Board

Prof. Dr. Jaume Anguera
Electronics and Telecommunications Department, Universitat Ramon Llull, Barcelona, Spain
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Interests: antennas; fractals; genetic optimization; small/multiband/high-directivity antennas; ground plane boosters; printed antennas; mobile/handset antennas; MIMO
Special Issues and Collections in MDPI journals:
Special Issue: Fractals in Antenna and Microwave Engineering
Prof. Dr. Dumitru Baleanu
1. Institute of Space Sciences, Magurele-Bucharest, Romania
2. Department of Mathematics, Cankaya University, 06500 Balgat, Ankara, Turkey
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Interests: fractional dynamics and its applications; fractals; fractional differential equations; discrete mathematics; mathematical physics; dynamic systems on time scales; the wavelet method and its applications; quantization of systems with constraints; the Hamilton-Jacobi formalism; geometries admitting generic and non-generic symmetries
Special Issues and Collections in MDPI journals:
Special Issue: Advances in Differential and Difference Equations with Applications
Dr. Robert Batchko
Holochip Corporation, Hawthorne, CA, USA
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Interests: prime numbers; fractals; number theory; experimental mathematics; nonlinear optics; three-dimensional displays; adaptive optics
Prof. Dr. Bruce Henry
School of Mathematics and Statistics, Faculty of Science, University of New South Wales, Sydney, Australia
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Interests: applications of fractional calculus; fractional ODEs; fractional PDEs; random walks; continuous time random walks; diffusion; dynamical systems; fractals
Prof. Dr. Jordan Hristov
Department of Chemical Engineering, University of Chemical Technology and Metallurgy, 8 Kliment Ohridsky blvd, Sofia 1756, Bulgaria
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Interests: mathematical modelling; non-linear phenomena; fractional calculus; non-linear diffusion; fractional calculus applications in chemistry and chemical engineering
Special Issues and Collections in MDPI journals:
Special Issue: The Craft of Fractional Modelling in Science and Engineering
Prof. Dr. Palle Jorgensen
Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
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Interests: harmonic analysis on fractals; Laplacians on fractals; Brownian motion on fractals; geometry of fractals; iterated function systems; fractal stochastic processes; stochastic analysis; applications to physics; diffusion on fractals
Prof. Dr. Mokhtar Kirane
Laboratoire MIA, Universite de La Rochelle, La Rochelle, France
Interests: fractional calculus; applied mathematics; dynamical systems; differential equations
Prof. Dr. Günter Leugering
Department Mathematik & Cluster of Excellence, Friedrich-Alexander-Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
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Interests: optimization and control in the context of partial differential equations: structural and civil engineering, material sciences and medical image processing
Prof. Dr. Ming Li
School of Information science & technology, East China Normal University, No. 500, Dong-Chuan Road, Shanghai 200241, China
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Interests: fractal time series; long-range dependent processes; self-similar processes; ocean waves; sea level time series; network traffic
Prof. Dr. Yuri Luchko
Department of Mathematics, Physics, and Chemistry, Beuth University of Applied Sciences Berlin, Luxemburger Str. 10, 13353 Berlin, Germany
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Interests: fractional calculus; ordinary and partial fractional differential equations; mathematical modelling with fractional calculus models; fractional anomalous diffusion and wave propagation; integral transforms and special functions in fractional calculus
Prof. Dr. Enzo Orsingher
Dipartimento di Scienze Statistiche, Sapienza Università di Roma, Rome, Italy
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Interests: Random motions; Random fields; Pseudo-processes governed by heat-type equations; Fractional calculus and fractional differential equations
Prof. Dr. Manuel D. Ortigueira
UNINOVA and DEE/Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa Campus da FCT, Quinta da Torre, 2829-516 Caparica, Portugal
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Interests: signal processing; fractional signals and systems; EEG and ECG processing
Special Issues and Collections in MDPI journals:
Special Issue: Fractional Behavior in Nature
Prof. Dr. Martin Ostoja-Starzewski
Department of Mechanical Science & Engineering, University of Illinois, 1206 W. Green Street, Urbana, IL 61801-2906, USA
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Interests: stochastic mechanics, waves in random and fractal media, and transport phenomena in random and fractal media; scaling laws; generalized continuum theories; random fields; biomechanics, elastodynamics, thermoelasticity, advanced continuum theories
Prof. Dr. Sergei Silvestrov
Division of Applied Mathematics, Mälardalen University, Box 883, 721 23 Västerås, Sweden
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Interests: operator and matrix analysis of wavelets and fractals; Markov chains and fractals; networks analysis and iterative algorithms for analysis of big data; complex dynamics and fractals; iterated function systems; fixed points theory and fractals; non-commutative analysis; algebraic systems; operator analysis and actions of operator systems; fractional calculus; applications in engineering mathematics, electromagnetics and electrical engineering
Prof. Dr. Renato Spigler
Department of Mathematics and Physics, Roma Tre University, 00146 Rome, Italy
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Interests: fractional calculus (approximations, numerics, and applications); applied and computational mathematics
Special Issues and Collections in MDPI journals:
Special Issue: Fractional Dynamics
Prof. Dr. Hari Mohan Srivastava Highly Cited - Clarivate Analytics (formerly Thomson Reuters)
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
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Interests: real and complex analysis; fractional calculus and its applications; integral equations and transforms; higher transcendental functions and their applications; q-series and q-polynomials; analytic number theory; analytic and geometric Inequalities; probability and statistics; inventory modelling and optimization
Special Issues and Collections in MDPI journals:
Special Issue: q-Series and Related Topics in Special Functions and Analytic Number Theory
Special Issue: Recent Advances in Fractional Calculus and Its Applications
Special Issue: Recent Developments in the Theory and Applications of Fractional Calculus
Special Issue: Operators of Fractional Calculus and Their Applications
Special Issue: Mathematical Analysis and Applications
Prof. Dr. Vasily E. Tarasov
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
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Interests: fractional dynamics; quantum theory; open quantum systems; fractional calculus; fractal media; application of fractional calculus in economics; processes with memory
Special Issues and Collections in MDPI journals:
Special Issue: Fractional Calculus in Economics and Finance
Dr. Xiao-Jun Yang
State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, 221116, China and School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, 221116, China
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Interests: local fractional calculus; fractional calculus; analytical, approximate, numerical and exact solutions for ODEs and PDEs; integral transforms and their applications; nonlinear dynamics; continuous mechanics; rock mechanics; viscoelasticity, heat, fluid and traffic flow; wavelet, signal processing; biomathematics and mathematical physics
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