Editorial Board
- General Mathematics, Analysis Section
- Geometry Section
- Numerical and Computational Methods Section
- Probability and Statistics Section
- Mathematical Physics Section
- Engineering Section
- Life Science, Biophysics Section
- Complexity Section
- Optimization, Big Data, and AI/ML Section
Please note that the order in which the Editors appear on this page is alphabetical, and follows the structure of the editorial board presented on the MDPI website under information for editors: editorial board responsibilities.
Members
Statistics Department, Warwick University, CV4 7AL Coventry, UK
Interests: probability; stochastic processes; fractional calculus; optimal control and games; mathematical physics
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Interests: probability; stochastic processes; fractional calculus; optimal control and games; mathematical physics
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Department of Telecommunications, Faculty of Electrical Engineering and Communication, Brno University of Technology, 616 00 Brno, Czech Republic
Interests: fractional-order systems; analog electronic circuits; fractional-order impedance elements; modeling of fractional-order systems and phenomena
Interests: fractional-order systems; analog electronic circuits; fractional-order impedance elements; modeling of fractional-order systems and phenomena
Department of Applied Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia
Interests: nonlinear differential equation; Painleve equations; integrability and nonintegrability; exact solution; soliton; special functions; nonlinear mathematical model; point vortices; numerical modeling
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Interests: nonlinear differential equation; Painleve equations; integrability and nonintegrability; exact solution; soliton; special functions; nonlinear mathematical model; point vortices; numerical modeling
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Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Universitá degli studi di Roma Sapienza, 00161 Roma, Italy
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
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
Department of Mathematics, University of California, Riverside 900 Big Springs Road, Surge 231, Riverside, CA 92521-0135, USA
Interests: mathematical physics; functional and harmonic analysis; geometric analysis; partial differential equations (PDEs); dynamical systems; spectral geometry; fractal geometry; connections with number theory; geometry and spectral theory; arithmetic geometry and noncommutative geometry
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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; geometry and spectral theory; arithmetic geometry and noncommutative geometry
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Departamento de Engenharia Química, Universidade Federal do Paraná, Rua Coronel Francisco H. dos Santos, 100, Curitiba 81531-980, PR, Brazil
Interests: fractional calculus; process control; process instrumentation; diffusion phenomena; design of experiments
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Interests: fractional calculus; process control; process instrumentation; diffusion phenomena; design of experiments
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Department of Mathematics, Shanghai University, Shanghai 200444, China
Interests: fractional dynamics; numerical methods for fractional partial differential equations
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Interests: fractional dynamics; numerical methods for fractional partial differential equations
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Ocean College, Zhejiang University, Hangzhou 310027, Zhejiang, China
Interests: fractal time series; long-range dependent processes; self-similar processes; ocean waves; sea level time series; network traffic
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Interests: fractal time series; long-range dependent processes; self-similar processes; ocean waves; sea level time series; network traffic
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Dr. Dayan Liu
Editorial Board Member
INSA Centre Val de Loire, Université d’Orléans, PRISME EA 4229, CEDEX, 18022 Bourges, France
Interests: estimation and control for fractional order systems; numerical solutions for fractional order differential equations
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Interests: estimation and control for fractional order systems; numerical solutions for fractional order differential equations
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School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia
Interests: numerical methods and theoretical analysis for fractional dynamical systems; applied mathematics
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Interests: numerical methods and theoretical analysis for fractional dynamical systems; applied mathematics
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Department of Mathematics, "Gheorghe Asachi" Technical University of Iasi, Blvd. Carol I, nr. 11, 700506 Iasi, Romania
Interests: fractional differential equations; ordinary differential equations; partial differential equations; finite difference equations; boundary value problems
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Interests: fractional differential equations; ordinary differential equations; partial differential equations; finite difference equations; boundary value problems
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Department of Civil and Environmental Engineering, Southern Methodist University, Dallas, TX 750340, USA
Interests: design and protection of structures against natural and man-made hazards; the analysis and design of seismic isolated and rocking structures; rheology; fractional calculus
Interests: design and protection of structures against natural and man-made hazards; the analysis and design of seismic isolated and rocking structures; rheology; fractional calculus
Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal
Interests: time scale calculus; fractional calculus; calculus of variations; optimal control; consensus theory
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Interests: time scale calculus; fractional calculus; calculus of variations; optimal control; consensus theory
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Center of Mathematics, Technical University of Munich, Boltzmannstrasse 3, 85748 Garching b. München, Germany
Interests: efficient representations of multidimensional data via frames, wavelets, and fractals; abstract and applied harmonic analysis; functional analysis; wavelets, splines, and frames; approximation and interpolation theory; fractal analysis and fractal geometry
Interests: efficient representations of multidimensional data via frames, wavelets, and fractals; abstract and applied harmonic analysis; functional analysis; wavelets, splines, and frames; approximation and interpolation theory; fractal analysis and fractal geometry
Department of Statistics, Mathematical Analysis and Optimization, CITMAga, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain
Interests: nonlinear differential equations; fractional models; biomedical applications; digital twins
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Interests: nonlinear differential equations; fractional models; biomedical applications; digital twins
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Dipartimento di Scienze Statistiche, Sapienza Università di Roma, 00185 Roma, Italy
Interests: random motions; random fields; pseudo-processes governed by heat-type equations; fractional calculus and fractional differential equations
Interests: random motions; random fields; pseudo-processes governed by heat-type equations; fractional calculus and fractional differential equations
Centre of Technology and Systems-UNINOVA, NOVA School of Science and Technology, NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, Portugal
Interests: signal processing; fractional signals and systems; EEG and ECG processing
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Interests: signal processing; fractional signals and systems; EEG and ECG processing
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Institute of Applied Computer Science, Lodz University of Technology, Stefana Żeromskiego 116, 90-924 Lodz, Poland
Interests: fractional order controller; fractional order differential equations; fractional order derivatives
Interests: fractional order controller; fractional order differential equations; fractional order derivatives
Department of Mechanical Science & Engineering, University of Illinois, Urbana, IL 61801-2906, USA
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; electrosurgery
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; electrosurgery
Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Edifici 8E, 4a planta, 46022 València, Spain
Interests: linear dynamics; topological dynamics; ergodic theory; chaos
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Interests: linear dynamics; topological dynamics; ergodic theory; chaos
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BERG Faculty, Technical University of Kosice, B. Nemcovej 3, 04200 Kosice, Slovakia
Interests: fractional calculus; fractional differential equations; fractals; mathematical modeling; control theory
Interests: fractional calculus; fractional differential equations; fractals; mathematical modeling; control theory
Statistical Mechanics and Dynamical Systems Laboratory, Institute of Nanoscience and Nanotechnology, National Center for Scientific Research "Demokritos", 15341 Athens, Greece
Interests: dynamical systems; nonlinear dynamics; computational neuroscience; complex networks; reaction diffusion systems; fractals
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Interests: dynamical systems; nonlinear dynamics; computational neuroscience; complex networks; reaction diffusion systems; fractals
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Department of Physics, Electronics Laboratory, University of Patras, 26504 Patras, Greece
Interests: fractional-order circuits and systems; analog integrated circuits; fractional-order biomedical circuits; fractional-order filters
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Interests: fractional-order circuits and systems; analog integrated circuits; fractional-order biomedical circuits; fractional-order filters
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Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia
Interests: nonlinear analysis; functional analysis; operator theory; fractional calculus; topological vector spaces; ordered structure
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Interests: nonlinear analysis; functional analysis; operator theory; fractional calculus; topological vector spaces; ordered structure
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Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
Interests: real and complex analysis; operator theory; functional analysis; geometric analysis; harmonic analysis; wavelets; optimization and control; functional models; analytic and geometric inequalities; applied and computational mathematics
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Interests: real and complex analysis; operator theory; functional analysis; geometric analysis; harmonic analysis; wavelets; optimization and control; functional models; analytic and geometric inequalities; applied and computational mathematics
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Bordeaux Institute of Technology, Bordeaux University, 351, Cours de la Libération, 33400 Talence, France
Interests: fractional behaviors; modeling; fractals; fractional operators
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Interests: fractional behaviors; modeling; fractals; fractional operators
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ETSID-Department of Applied Mathematics, Universitat Politecnica de Valencia, 46022 Valencia, Spain
Interests: fractional calculus; analytical and computational methods; differential and difference equations; real and complex analysis; applied and computational mathematics; mathematical physics
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Interests: fractional calculus; analytical and computational methods; differential and difference equations; real and complex analysis; applied and computational mathematics; mathematical physics
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Department of Mathematics and Physics, Roma Tre University, 00146 Rome, Italy
Interests: fractional Calculus (approximations, numerics, and applications); applied and computational mathematics
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Interests: fractional Calculus (approximations, numerics, and applications); applied and computational mathematics
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Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
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 modeling and optimization
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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 modeling and optimization
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Institute of Structural Engineering, Poznan University of Technology, 60-965 Poznan, Poland
Interests: nonlinear analysis; material modeling; extreme loading; constitutive modelling
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Interests: nonlinear analysis; material modeling; extreme loading; constitutive modelling
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