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

Dr. Jaume Anguera
1. Chief Scientist and Founder Partner at Fractus Antennas, Barcelona, Spain
2. 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 in Fractal and Fractional: Fractals in Antenna and Microwave Engineering
Prof. Dr. Abdon Atangana
Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa
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Interests: methods and application of nonlinear equation; fractional calculus and their applications to real world problems; application of partial, ordinary and fractional differential equation to groundwater problems; perturbation and asymptotic methods; iteration methods for differential equations; numerical method for partial differential equations; numerical methods for ordinary differential equations; analytical methods for partial differential equation; analytical methods for ordinary differential equation; integral transforms; groundwater flow models; groundwater transport models
Special Issues and Collections in MDPI journals:
Special Issue in Hydrology: Groundwater Flow
Prof. Dr. Dumitru Baleanu Highly Cited - Clarivate Analytics (formerly Thomson Reuters)
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 in Mathematics: 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 in Fractal and Fractional: The Craft of Fractional Modelling in Science and Engineering
Special Issue in Fractal and Fractional: The Craft of Fractional Modelling in Science and Engineering 2018
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. Maria Rosaria Lancia
Sezione di Matematica, Universita' di Roma Sapienza, Via A.Scarpa 16, 00161 Roma, Italy
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Interests: dirichlet forms and fractals,functional spaces on d-sets, fractals, boundary value problems in domains with boundary and/or interface of fractal type; non linear energy forms on fractal sets; energy forms on non self-similar fractal sets; heat diffusion on fractal domains; BVPs in fractal domains possibly with dynamical boundary condition; fractal singular homogenization; vector analysis on fractafolds; shape optimization; numerical approximation of BVP’s in fractal domains by FEM
Prof. Dr. Michel L. Lapidus
Department of Mathematics, University of California, Riverside, CA 92521-0135, USA
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Interests: mathematical physics; functional and harmonic analysis; geometric analysis; partial differential equations (PDEs); dynamical systems; spectral geometry; fractal geometry; connections with number theory; arithmetic geometry and noncommutative geometry;vibrations of fractal drums; propagation of waves in fractal media; origins of fractality in nature; complex fractal dimensions and fractal zeta functions
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. Juan J. Nieto Highly Cited - Clarivate Analytics (formerly Thomson Reuters)
Department of Statistics, Mathematical Analysis and Optimization, Institute of Mathematics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain
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Interests: fractional differential equations; nonlinear differential equations; fractional models and biomedical applications
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 in Fractal and Fractional: 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. Jocelyn Sabatier
Bordeaux University, IMS Laboratory UMR 5218 CNRS - CRONE Group, Bordeaux - France
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Interests: long memory behaviours; stochastic processes; fractal media; fractional dynamical systems; PID and robust control; electrochemical devices modelling
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 in Fractal and Fractional: Fractional Dynamics
Prof. Dr. H. M. Srivastava Highly Cited - Clarivate Analytics (formerly Thomson Reuters)
University of Victoria, 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 in Axioms: q-Series and Related Topics in Special Functions and Analytic Number Theory
Special Issue in Mathematics: Recent Advances in Fractional Calculus and Its Applications
Special Issue in Mathematics: Recent Developments in the Theory and Applications of Fractional Calculus
Special Issue in Mathematics: Operators of Fractional Calculus and Their Applications
Special Issue in Axioms: Mathematical Analysis and Applications
Special Issue in Symmetry: Integral Transforms and Operational Calculus
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 in Fractal and Fractional: 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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