SPECIAL SESSIONS
Please contact us at: icame@balikesir.edu.tr if you would like to organise a special session.The list of the special sessions confirmed so far is as follows (the details will be updated). Please click on the session title to see the details:
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Modelling & Optimization in EngineeringProf. Dr. Ramazan Yaman, Istanbul Atlas University, Turkey, ryaman@atlas.edu.tr
Prof. Dr. Ahmet Sahiner, Suleyman Demirel University, Turkey, ahmetsahiner@sdu.edu.tr
Assoc. Prof. Dr. Firat Evirgen, Balikesir University, Turkey, fevirgen@balikesir.edu.tr
Theme
The goal of this session is to discuss recent developments in applications of optimization methods by bringing together researchers and practitioners working in the field of optimization theory, methods, software and related areas.
Topics
- Mathematical programming
- Global optimization
- Nondifferential optimization
- Continuous optimization
- Combinatorial optimization
- Multicriteria optimization
- Equilibrium programming
- Game theory
- Data mining
- Population based algorithms
- Artificial intelligence technologies
- Applications of optimization in natural sciences
- Applications of optimization in engineering
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Operational ResearchProf. Dr. Gerhard-Wilhelm Weber, Poznan University of Technology, Poland, gerhard.weber@put.poznan.pl
Prof. Dr. Aslan Deniz Karaoglan, Balikesir University, Turkey, deniz@balikesir.edu.tr
Assoc. Prof. Dr. Ibrahim Kucukkoc, Balikesir University, Turkey, ikucukkoc@balikesir.edu.tr
Assoc. Prof. Dr. Burcu Gurbuz, Johannes Gutenberg-University Mainz, Germany, burcu.gurbuz@uni-mainz.de
Theme
This session aims to bring together researchers working on the topics related to operational research to discuss recent developments in the theory and application of operational research techniques.
Topics
- Business analytics for manufacturing systems
- Analytics, optimization and machine learning in manufacturing and supply chains
- Intelligent manufacturing systems
- Intelligent transportation
- Protfolio optimization
- Network models
- Inventory control, production planning and scheduling
- Sustainable manufacturing
- Robotics in manufacturing
- Modeling, simulation, control and monitoring of manufacturing processes
- Logistics, supply chains and networks
- Facility planning and materials handling
- Energy systems modelling
- Design and reconfiguration of manufacturing systems
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Fractional Calculus, Differential Equations and Artificial Intelligence in Complex SystemsProf. Dr. Dumitru Baleanu, Lebanese American University, Lebanon, dumitru.baleanu@lau.edu.lb
Prof. Dr. Yeliz Karaca, University of Massachusetts Chan Medical School (UMASS), Worcester, United States, yeliz.karaca@ieee.org
Theme
Processes of fractional dynamics, differentiation and systems in complex systems as well as the dynamical processes and dynamical systems of fractional order with respect to natural and artificial phenomena are critical in terms of their modeling by ordinary or partial differential equations with integer order, ordinary and partial differential equations. Accordingly, fractional calculus and fractional-order calculus approach to provide novel mathematical models with fractional-order calculus employed in machine learning algorithms can ensure the obtaining of optimized solutions besides the justification of the requirement towards developing analytical and numerical methods. In that regards, complex systems and nonlinear dynamical systems are considered to be among the thriving models of natural phenomena, which are frequently characterized by unpredictable behavior whose analysis is challenging to be performed. The root of the problem lies in the understanding of which sort of information, especially concerned with their long-term evolution and memory properties, can be expected to be derived from those systems. Correspondingly, complexity, chaos, order and evolution all unravel the relationship between natural and social worlds, representing a modern process of thinking. Dynamical processes and dynamical systems of fractional order in relation to natural and artificial phenomena can be modeled by ordinary or partial differential equations with integer order, which can be described aptly by employing ordinary and partial differential equations. Thereafter, while the employment of artificial intelligence allows model accuracy maximization and functions’ minimization like those of computational burden, novel mathematical-informed frameworks can enable a reliable and robust understanding of various complex processes that involve a variety of heterogeneous temporal and spatial scales. Such complexities necessitate a holistic understanding of different processes through integrative models with multi stages, being capable of capturing the significant attributes and peculiarities on the respective scales to expound complex systems whose behavior is confounding to predict and control with the ultimate goal of achieving a global understanding, while at the same time catching up with actuality along the evolutionary and historical path. Hence, the importance of generating applicable solutions to problems for various engineering areas, medicine, biology, mathematical science, applied disciplines and data science, among many others, requires predictability, interpretability and reliance on mathematical sciences, with Artificial Intelligence (AI) and machine learning being at the intersection with different fields marked by complex, chaotic, nonlinear, dynamic and transient components to validate the significance of the attained optimized approaches.
Based on this sophisticated integrative and multiscale approach with computer-assisted translations and applications, our special session aims at providing a bridge to merge an interdisciplinary perspective to open up new pathways and crossroads both in real systems and in other related realms.
The potential topics include but are not limited to:
- Differentiability of solutions of differential equations with initial data
- Advances of mathematical sciences, fractional calculus and differentiation
- Fractional order differential, integral equations and systems
- Computational methods of fractional order
- Synchronization of dynamic systems on time scales
- Data-driven fractional biological modeling
- Data mining with fractional calculus methods
- Fractional order observer design for nonlinear systems
- Nonlinear modeling for epidemic/biological/neurological diseases
- Fractional differential equations with uncertainty
- Fractional dynamic processes in medicine
- Image/signal analyses based on soft computing
- Wavelet analysis and synthesis
- Entropy of complex dynamics, processes and systems
- Computational applied sciences
- Control and dynamics of multi-agent network systems
- Computational complexity
- Nonlinear integral equations within fractional calculus in nonlinear science
- Fractional dynamic processes in medicine
- Fractional-calculus-based control scheme for uncertain dynamical systems
- Computational intelligence-based methodologies and techniques
- Bifurcation and chaos in complex systems
- Mathematical analysis and modeling in complex systems
- Quantum computation and optimization models of complex systems
- Fractional mathematical modeling with computational complexity
- Mathematical modeling and Artificial Intelligence in complex systems
Among many other related points with mathematical modeling -
Control Theory & ApplicationsProf. Dr. Metin Demirtas, Turkey, mdtas@balikesir.edu.tr
Assoc. Prof. Dr. Amin Jajarmi, University of Bojnord, Iran, a.jajarmi@ub.ac.ir
Theme
This session aims to discuss a broad range of topics including current trends of linear, nonlinear, discrete and fractional control systems as well as new developments in robotics and mechatronics, unmanned systems, energy systems with the goal of strengthening cooperation of control and automation scientists with industry.
Topics
- Adaptive control
- Linear and nonlinear control systems
- Optimal control
- Discrete time control systems
- Robust control
- Fractional order systems and control
- Chaotic systems and control
- Evolutionary and heuristic control
- Robotic control
- Energy management and control
- Control of unmanned air and undersea vehicles
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Fractional Calculus with Applications in BiologyProf. Dr. Dumitru Baleanu, Lebanese American University, Lebanon, dumitru.baleanu@lau.edu.lb
Prof. Dr. Zakia Hammouch, ENS Moulay Ismail University Morocco, Morocco, z.hammouch@umi.ac.ma
Prof. Dr. Necati Ozdemir, Balikesir University, Turkey, nozdemir@balikesir.edu.tr
Theme
The goal of this session is to bring together creative and active researchers, in theoretical analysis and numerical tools, to discuss recent developments in applications of 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, etc, in this session.
Topics
- 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
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Numerical Methods in Fractional CalculusDr. Saptarshi Das, University of Exeter, United Kingdom, s.das3@exeter.ac.uk
Assoc. Prof. Dr. Mehmet Yavuz, Necmettin Erbakan University, Turkiye, mehmetyavuz@erbakan.edu.tr
Theme
In the few decades, fractional differential equations has played a very important role in various fields. Based on the wide applications in engineering and sciences such as physics, mechanics, chemistry, and biology, research on fractional ordinary or partial differential equations and other relative topics is active and extensive around the world. In the past few years, the increase of the subject is witnessed by hundreds of research papers, several monographs, and many international conferences. The objective of this special session is to highlight the importance of numerical methods and their applications and let the readers of this journal know about the possibilities of this new tool.
Topics
- New methods for solving fractional differential equations
- Controllability of fractional systems of differential equations or numerical methods applied to the solutions of fractional differential equations applications in physics, mechanics, and so forth
- Iteration methods for solving partial and ordinary fractional equations
- Numerical methods for solving fractional integro-differential equations
- Numerical functional analysis and applications
- Local and nonlocal boundary value problems for fractional partial differential equations
- Stochastic partial fractional differential equations and applications
- Computational methods in fractional partial differential equations
- Numerical methods for solving variable order differential equations
- Perturbation methods for fractional differential equations
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Nonlinear Dynamical Systems and ChaosProf. Dr. Huseyin Merdan, TOBB ETU, Turkey, merdan@etu.edu.tr
Prof. Dr. Songul Kaya Merdan, METU, Turkey, smerdan@metu.edu.tr
Theme
This special sesion focuses on the dynamics of complex systems, which are one of the most attractive subjects of the modern sciences. The attractiveness of this particular area arises from two different aspects: The first one is that it provides challenges, which are connected with many uncertainties in description of irregular motions. The second one is methods of investigation, which are not yet well developed and established. Applications of complex dynamics investigations are very important and deal with a wide range of problems. They begin with mechanical problems and extend to earthquake prediction and social sciences problems. We are interested in those investigations in electrical and mechanical engineering, physics, biology, economics, finance, neuroscience, computer sciences, fluid dynamics and earthquake monitoring, which urgently need mathematical modeling of their problems and analysis through nonlinear dynamical systems approach.
Topics
- ODE, DDE and PDE based modelling for complex systems
- Dynamical systems and chaos
- Bifurcation theory
- Synchronization
- Control theory
- Fluid Dynamics
- Stochastic complex dynamical systems and randomness
- Hybrid systems
- Complex networks based-models
- Neural Networks
- Bio-engineering, bio-imaging and bio-fluids
- Population dynamics and conservation biology
- Ecosystems
- Evolution and ecology
- Epidemiology and disease modeling
- Neuroscience
- Regulatory networks
- Cell and Tissue biophysics
- Evolution and populations genetics
- Cell and developmental biology
- Cancer and immunology
- Environmental sciences
- Social economy systems
- Climate change
- Financial engineering
- Matematical finance
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Nonlinear Transport Phenomena and ModelsProf. Dr. Jordan Hristov, Sofia, Bulgaria, jyh@uctm.edu; Jordan.hristov@mail.bg
Theme
The special section focuses on modelling of nonlinear transport phenomena (heat, mass and momentum) as well as models related to real world application. Models with both local and fractional differential operators involved in modelling in such models are welcome. The topics drawn below are the main directions but no restrictive and any new problems outside them are welcome.
Topics
- Nonlinear diffusion and heat transfer (conduction)
- Nonlinear viscoelasticity and plasticity
- Modelling rheology of complex fluids, solids and granular systems (hydrodynamics, large strain deformations and mixing)
- Nonlinear kinetic and rate equations and irreversible thermodynamics
- Models of nonlinear biological and medical problems for real-world applications
- Models for treatment of nonlinear signal processing and control
- Nonlinear electrical and magnetic phenomena and nonlinear applied models in electrotechnics (nonlinear magnetic circuits, high frequency skin effects, supercapacitors, etc.)
- Inverse problems in nonlinear models of transport phenomena
- New nonlinear models (broad aspect)
- Analytical and numerical methods for solution of nonlinear models
- Scaling and dimensional analysis
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Energy Management and OptimizationProf. Dr. Ramazan Yaman, Istanbul Atlas University, Turkiye, ramazan.yaman@atlas.edu.tr
Assist. Prof. Dr. Mutlu Yilmaz, Istanbul Atlas University, Turkiye, mutlu.yilmaz@atlas.edu.tr
Necip Erman Atilla, TREDAS, Turkiye
Theme
This session aims to gather researchers in the field of power and energy systems to delve into recent developments in both the theoretical aspects and practical applications of electricity markets, including power system applications.
Topics
- Optimization in Power Delivery and Generation
- Demand Response and Participation in Electric and Energy Systems
- Hybrid Electricity Markets and Their Integration into Existing Market Structures
- Energy Storage Technologies and Solutions in Electric Industry
- Energy Use in Residential Areas
- Energy Usage in the Transport Sector and Electric Vehicles
- Robust/Stochastic/Heuristic Control and Optimization Methods for Energy Systems
- Decision Support Systems for Energy Systems
- AI/ML-Based Energy Optimization Techniques
- The Optimization of Distributed Renewable Energy Resources and the Electricity Market Control
- Transmission Markets, Congestion Management, and Grid Reliability
- Consolidation of Smart and/or Micro Grids and Distribution Networks, and Integrating in Electricity Markets
- Geothermal Energy Systems
- Energy Efficiency and Conservation
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Theories and Applications of Discrete Fractional OperatorsProf. Dr. Thabet Abdeljawad, Department of Mathematics and Sciences, Prince Sultan University, Saudi Arabia, tabdeljawad@psu.edu.sa
Dr. Sumati Kumari Panda, Department of Mathematics, GMR Institute of Technology, India, sumatikumari.p@gmrit.edu.in
Theme
Fractional calculus was first proposed in the year 1695. Many well-known mathematicians, including Leibniz, L' Hospital, Riemann, and others, contributed to this study. The fractional calculus has been widely employed in a variety of fields due to its interesting memory effects and non-locality. In the last decade, it has become one of the most popular fields of applied mathematics.
Discrete fractional calculus was proposed very recently. Although discrete and fractional mathematics have always played an important role in mathematics, their importance has recently grown in several branches, including but not limited to topological indices, polynomials in graphs, molecular descriptors, differential of graphs, alliances in graphs, domination theory, complex systems, discrete fractional delta operator, discrete fractional nebla operators, discrete geometry, fractional differential equations, discrete fractional integral inequalities, discrete fractional differences, discrete fractional sums and more.
The collection will bring together primary research studies that explore the applications of discrete fractional with applications in engineering and the natural sciences.
Topics
- Existence theory of discrete fractional order systems
- New numerical methods for the solution of fractional difference equations
- Dynamics of discrete fractional-order systems in engineering and natural sciences
- Theory and application of q-fractional operators
- Stability analysis of discrete fractional-order neural networks systems
- Discrete fractional inequalities and iterative methods
- Existence and uniqueness of solutions for discrete fractional equations
- Monotonicity and convexity of fractional difference operators
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