Title : Qualitative Analysis of Differential Equations: Related Issues and Applications
Vladimir E. Fedorov, Chelyabinsk State University, Russia
Elina Shishkina, Voronezh State University, Russia
On the special session "Qualitative Analysis of Differential Equations, Related Questions and Applications"
reports on new results concerning the properties of solutions to differential equations of both integer and
fractional orders will be presented. Combining reports on this topic is significant for creating a systematic
theory of QADE, as well as for analyzing the similarities and differences between the solutions to the differential
equations of integer and fractional orders. The topics of the talks are assumed to be wide and diverse.
Related questions of the qualitative theory of differential equations and applications will also be presented.
Qualitative properties of linear differential equations and systems, including fractional differential equations.
Analysis of solutions to nonlinear differential equations and systems, including fractional differential
Singular and degenerate differential equations.
Properties of pseudodifferential operators and Riesz potentials.
Applications of the theory of differential equations to mechanics.
Special Session 2
Title : Fuzzy Modeling
Vasily G. Sinuk, Belgorod Technical University, Russia
Irina Perfilieva, University of Ostrava, Czech Republic
Maxim Panchenko, Belgorod Technical University, Russia
Fuzzy Modeling is a modern scientific discipline at the interface of mathematics and theoretical computer science,
whose name is based on the concept of the fuzzy sets introduced by Lotfi A. Zadeh in 1965. This complex
discipline began to be promoted not only in many application areas, but in many areas of human knowledge
and cognition in general. Nevertheless, it is still not true that it is a completely explored field
of science, nor has its paradigms been completely implemented in all other areas of science and research,
where they doubtless belong and can help. As a mathematical discipline fuzzy modeling is based on residuated
lattice structures, fuzzy approximation methods, fuzzy differential calculus, fuzzy transforms, fuzzy relations,
etc. The aim of this special session is to provide a forum for discussion the latest achievements in
the development of fuzzy modelling as comprehensive scientific disciplines and outline the future directions
of the research.
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 modelling with applications to human language processing,
Fuzzy modeling and machine learning,
Computational intelligence founded methodologies: tools and techniques.
Special Session 3
Title : Fractional modelling: Theory & Applications
Amar Debbouche, Guelma University, Algeria
Carla M.A. Pinto, Polytechnic Institute of Porto, Portugal
Fractional Calculus is an old research topic, with more than 300 years of dedicated research. The idea of fractional
calculus has been known since the classical "integer" calculus, with the first reference probably being associated
with Leibniz and L'Hospital in 1695. It is regarded as a branch of mathematical analysis dealing with integro-differential
equations in which the integrals are of the convolution type and weakly singular kernels of the power-law
type. This special session is a place for researchers and practitioners sharing ideas on the theories,
applications, numerical methods and simulations of fractional calculus and fractional differential equations.
The main topics of interest are enumerated below, and submissions in the relevant fields are welcome:
Numerical and analytical fractional order systems,
Simulations for fractional models,
Analysis of fractional order systems,
Analysis, modelling and control of phenomena in: electrical engineering; mechanics; automatic control; biology; biophysics; physics.
Special Session 4
Title : Mathematical tools for uncertainty modelling in applied sciences
Alireza Khastan, Institute for Advanced Studies in Basic Sciences, Iran
Juan Carlos Cortés, Universitat Politècncia de València, Spain
Fundamental mathematical tools need to be developed in order to model the uncertainty in various fields, from applications in the industry passing through applications in natural phenomena. What applied areas have in common is the presence of vague and uncertain information and the modeling done by the human being, whose reasoning is imprecise. Since mathematical tools are used to modeling all these applications, its theoretical aspects have to admit the key concepts of “fuzziness” and “randomness”.
The purpose of this Special Session is to provide an international forum for presentation of recent results and advances in these important tools. It is therefore appropriate to gather current trends and provide a high quality forum for the theoretical research results and practical development on theory of uncertainty modeling and fuzzy sets and systems.
Objectives and topics :
Theoretical aspects of fuzzy sets and systems.
Fuzzy approximations, fuzzy arithmetic and Fuzzy data analysis.
Applications of fuzzy mathematics in the real-world problems.
Uncertainty Modeling in applied sciences.
Difference, differential and integral equations with uncertainty.
Uncertainty Quantification: Techniques for parameter estimation in random dynamical systems.
Differential and integral equations with uncertainty.
Special Session 5
Title : Mathematical Modelling using Differential Equations and Network Theory
Ioannis Dassios, University College Dublin, Ireland
Ioan-Lucian Popa, University of Alba Iulia, Romania
This special session aims at presenting latest results on Differential/Difference Equations, Mathematics of Networks, and their applications into Electrical Power Systems, Materials, Energy, Macroeconomics, etc.
Its purpose is to bring together Mathematicians with Physicists, Engineers, as well as other scientists.