special sessions


The special sessions should focus on a specific scientific subject on the scope of ICMA2SC’22. The organizers of the session, at most two researchers in the field, will be responsible for:

  • Sending the call for papers of their session;
  • Coordinate the revision process of the papers submitted within it;
  • Deliver the final versions of the accepted papers in the format given at ICMA2SC’22 website;
  • Each special session must have at least 5 confirmed speakers.

The special sessions’ proposals should contain the following information:

  • Title;
  • Brief description;
  • List of topics of interest;
  • Organizers (names, affiliation, e-mails).


special session #1: Impact of fractional calculus in modelling and control applications

Carla Pinto1, Eva Dulf2, Cristina Muresan2

1School of Engineering Polytechnic of Porto, Portugal, cap at

2Technical University of Cluj-Napoca, Romania, cristina.pop at



Recently, an increasing number of researchers have turned their attention to fractional calculus, quite simply defined as the generalization of integration and differentiation to an arbitrary order. Fractional calculus is currently seen as a powerful tool with numerous advantages in all areas of research, including mathematics, physics, control engineering, biomedicine, etc.  Its popularity comes from the advantages it brings over traditional integer order calculus: such as the ability to capture non-linear behavior and long-term memory effects in biological systems or to enhance the performance and robustness of control systems. Its impact on various research domains is from this point of view extraordinary, opening up new research directions and further developments. This special session welcomes papers dealing with fractional calculus in modelling and control applications and aims at demonstrating the impact of fractional calculus upon current research findings. We welcome any contribution within the general scope of the Special Session theme " Impact of fractional calculus in modelling and control applications ".



special session #2: state-of-the-art of fractional biological models

Dumitru Baleanu1, Carla Pinto2, Devendra Kumar3, Necati Ozdemir4

1Cankaya University, Turkey and Institute of Space Sciences, Romania, dumitru at

2School of Engineering Polytechnic of Porto, Portugal, cap at

3University of Rajasthan, India, devendra.maths at

4Balikesir University, Turkey, nozdemir at



The organizers of this session kindly invite creative and active researchers, in theoretical analysis and numerical tools, to present their valuable research in fractional order models of biological models. Fractional order models have become ubiquitous research topics in the last few decades. Their memory property contributes to a better and profound understanding of the dynamics of real world models, namely of biological population problems. Stochastic and deterministic models and coinfection models, as well as computational models, are welcome for HIV, HCV, Ebola, Zika, Dengue, Tuberculosis, SIR, SEIR, etc.


  • New numerical methods to solve fractional differential equations
  • Deterministic and stochastic fractional differential equations
  • Computational methods for fractional differential equations
  • Bifurcation theory
  • Stability theory
  • Cancer development models: chaos, synchronization
  • Applications in bioengineering, medicine, ecology, biology, epidemiology




special session #3: fractional differential theory and applications

M. Manuela Rodrigues1, N. Loureiro Vieira1, Milton Ferreira2


1CIDMA, University of Aveiro, mrodrigues at

2School of Technology and Management, Polytechnic Institute of Leiria & CIDMA, University of Aveiro.



In the last decades, the interest in fractional calculus increased substantially. This fact is due to on the one hand different problems can be considered in the framework of fractional derivatives like, for example, in optics and quantum mechanics, and on another hand, fractional calculus gives us a new degree of freedom which can be used for more complete characterization of an object or as an additional encoding parameter. In particular, the interest in fractional differential equations has increased considerably due essentially to the wide range of applications. These types of equations are used mostly to model processes in the fields of engineering, viscoelastic materials, hydrology, system control, just to mention some. The organizers welcome any contribution to the study partial differential equations and their applications.


List of Topics of Interest: Ordinary/Partial fractional differential equations; Equations from mathematical-physics; Boundary value problems; Fundamental solutions; Eigenfunctions and eigenvalues; Fractional calculus in higher dimensions; Special functions in the context of fractional calculus.



special session #4: mathematical analysis in medical applications

Inês Domingues

Medical Physics, Radiobiology and Radiation Protection Group, IPO Porto Research Centre (CI-IPOP), Portugal, inesdomingues at;


Description: Mathematical analysis is fundamental in several domains, from natural sciences and engineering to medicine. The scope of this special session is to present current research in the application of mathematical methods to medicine, as well as to show how mathematics can be used in several aspects such as understanding, prediction, treatment and data processing.


Topics of interest include (but are not limited to):

  • Artificial Intelligence
  • Bayesian Methods
  • Biomechanics
  • Biomedical Engineering
  • Clinical decision support systems
  • Clinical reasoning
  • Clinical research methodologies
  • Computer vision
  • Health Data Science
  • Health informatics
  • Image processing
  • Interpretability and Explainability
  • Machine Learning
  • Mathematical modeling
  • Monte Carlo Simulation
  • Optimization
  • Pattern recognition
  • Probability and Statistic
  • Signal Processing
  • Visualization




Helena Reis1, Júlio C. Rebelo2

1Faculty of Economics, University of Porto and Centre for Mathematics, University of Porto, hreis at

2University of Toulouse, rebelo at



It has long been known the role played by special equations and/or systems of equations, in Physics and its applications. The interest in several aspects of this large topic has recently been renewed by the emergence of new applications or by the introduction of new ideas of dynamical origin in the analysis of well-known equations and/or functions or, indeed, by both. Some examples along this line include recently introduced dynamical systems techniques in the study of Painlevé equations and Halphen systems, new geometric constructions enabling computations of non-linear Stokes phenomena, and the use of ergodic theoretic and probabilistic methods in the study of phase-transitions. Albeit the above examples are essentially of theoretic nature, they also are of undisputed relevance in Quantum Physics and matter theory. Other recent applications of similar ideas lying closer to engineering chiefly involve the use of dynamical systems in control theory, artificial intelligence, and diagnosis algorithms. The organizers of this section welcome applications from scientists wishing to delivery an invited talk to the audience of the section in order to present original theoretic or applied research works fitting in the above described setting.


special session #6: Mathematical Modeling in Fuzzy-Structured Space

Irina Perfilieva1, Alireza Khastan2, Stefania Tomasiello3

1University of Ostrava, Czechia, irina.perfilieva at

2Institute for advanced studies in basic sciences (IASBS), Zanjan, Iran, Khastan at

3Institute of Computer Science, University of Tartu, Estonia, stefania.tomasiello at



Fuzzy Modeling is a modern scientific discipline that benefits of mathematics focused on ill-defined or vaguely specified problems. It is based on the concept of fuzzy set, introduced by Lotfi A. Zadeh in 1965, and characterized by its membership function. This complex discipline began to be promoted not only in many application areas, but in many areas of human knowledge and cognition in general. As a mathematical discipline fuzzy modeling is based on operations from a semi-linear space, residuated lattice, etc. Models are formulated using fuzzy relational calculus, fuzzy differential calculus, fuzzy transforms, etc. The aim of this special session is to provide a forum for discussion the latest  achievements in the development of fuzzy models as well as their applications to dynamical systems, image processing and neural networks.


Scope and Topics include, but not restricted to:

  • Theoretical aspects of fuzzy sets and systems
  • Fuzzy approximations, fuzzy arithmetic and fuzzy data analysis
  • Fuzzy Transforms and its applications
  • Differential and integral equations with uncertainty
  • Fuzzy modeling with applications to human language processin
  • Fuzzy modeling and machine learning
  • Computational intelligence founded methodologies, tools and techniques


special session #7: Symmetries and Conservation Laws for Nonlinear Partial Differential Equations with Applications

Stephen Anco1,Maria Santos Bruzón2, Maria Luz Gandarias2

1Department of Mathematics and Statistics Brock University, St. Catharina On l2s3a1, Canada

2Department of Mathematics, University of Cadiz, Puerto Real, Spain



Many real world problems which arise in various scientific fields such as economics, biology, physics, fluid dynamics, and engineering are modelled by physically and mathematically interesting nonlinear differential partial equations (PDEs). For studying exact properties of such equations, symmetries and conservation laws are powerful tools that can provide explicit solutions, conserved quantities, transformations to simpler equations, tests of numerical schemes, and more.
The aim of this special session will be to report on recent developments in symmetry analysis and conservation law analysis with applications to nonlinear PDEs of physical interest. High-quality presentations that contain original research results are encouraged


special session #8: Dynamics and Games

Alberto Pinto1, José Martins2

1LIAAD-INESC TEC and Faculty of Sciences, University of Porto, Portugal, aapinto at

2LIAAD-INESC TEC and School of Technology and Management, Polytechnic Institute of Leiria, Portugal, jmmartins at



The session aims to create a high profile forum for the discussion of mathematical ideas and techniques that arise from the analysis and the modelling of systems. A special emphasis will be given to systems where agents interact dynamically over time, in areas such as dynamic games, stochastic games, evolutionary games, and other research areas of cooperative and non-cooperative game theory, as well as the associated applications in biology, social sciences, economy, engineering and natural resources.

Topics of interest include:

  • Dynamical systems;
  • Game theory;
  • Mathematical modelling;
  • Applications to biology, social sciences, economy, engineering and natural resources.


special session #9: Difference & differential equations with applications

Sandra Pinelas

Academia Militar, Portugal, sandra.pinelas at


The aim of this session is  to discuss the new developments in the field of  differential & difference equations. All areas of differential & difference equations will be represented with special emphasis on applications. The participants of the session are invited to submit original results for publication and presentation, in the following (but not limited) topic:

- Ordinary Differential Equation
- Partial Differential Equations
- Difference Equation
- Equation on Time Scales
- Rational differential equations
- Applications



Yong Xu1, Stefano Lenci2

1Northwestern Polytechnical University, China, hsux3 at

2Polytechnic University of Marche, Italy


Stochasticity, nonlinearity and complexity can be found and used in many different fields, including the natural sciences such as mechanics, physics, biology, neuroscience as well as technology and engineering fields such as aeronautics, astronautics, information theory and computer science. How to model the stochastics, for example Brownian motion, Levy process, and fractional Brownian motion et al appears naturally in the modeling of these situations.

This special session welcomes papers dealing with all aspects of nonlinear and/or stochastic systems analysis, characterization problems, stochastic modelling and identification, optimization and control and with related questions in the theory of stochastic processes. The session also welcomes papers concerns with significant applications of nonlinear and/or stochastic theory to problems in engineering systems, the physical and life sciences and other areas.


instituto superior de engenharia do porto
Rua Dr. António Bernardino de Almeida, 431
4249-015 Porto, Portugal


important dates


1 DEC 2019

Abstract submission starts

Proposals for Special Sessions


30 MAR 2022


Deadline for submissions

Early Bird registration


30 APR 2022


Upload of complete papers of accepted abstracts


05 JUN 2022


Camera-ready submission for accepted papers


27 JUN 2022


Conference Opening

Autor/Late registration