The list of the special sessions confirmed (please click on the session title to open dropdown list):
  • Modelling & Optimization
    Prof. Dr. Gerhard-Wilhelm Weber, Poznan University of Technology, Poland, gerhard.weber@put.poznan.pl
    Prof. Dr. Ramazan Yaman, Istanbul Gelisim University, Turkey, ryaman@gelisim.edu.tr
    Prof. Dr. Ahmet Sahiner, Suleyman Demirel University, Turkey, ahmetsahiner@sdu.edu.tr
    Asst. Prof. Dr. Firat Evirgen, Balikesir University, Turkey, fevirgen@balikesir.edu.tr
    Asst. Prof. Dr. Aslan Deniz Karaoglan, Balikesir University, Turkey, deniz@balikesir.edu.tr
    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.
    • Mathematical programming
    • Global optimization
    • Nondifferential optimization
    • Continuous optimization
    • Combinatorial optimization
    • Multicriteria optimization
    • Equilibrium programming
    • Operations research
    • Game theory
    • Data mining
    • Population based algorithms
    • Artificial intelligence technologies
    • Applications of optimization in natural sciences
    • Applications of optimization in engineering
    • Energy systems modelling and optimization
  • Control Theory & Applications
    Prof. Dr. Kemal Leblebicioglu, METU, Turkey,kleb@metu.edu.tr
    Assoc. Prof. Dr. Metin Demirtas, Turkey, mdtas@balikesir.edu.tr
    Asst. Prof. Dr. Beyza Billur Iskender Eroglu, Balikesir University, Turkey, biskender@balikesir.edu.tr
    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.
    • 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
  • Fractional Calculus with Applications in Biology
    Prof. Dr. Dumitru Baleanu, Cankaya University, Turkey, dumitru@cankaya.edu.tr
    Prof. Dr. Carla Pinto, School of Engineering, Polytechnic of Porto, Portugal, cap@isep.ipp.pt
    Assoc. Prof. Dr. Necati Ozdemir, Balikesir University, Turkey, nozdemir@balikesir.edu.tr
    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.
    • 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
  • Numerical Methods in Fractional Calculus
    Prof. Dr. Hossein Jafari, UNISA, South Africa, jafarh@unisa.ac.za
    Prof. Dr. Mustafa Inc, Firat University, Turkey, minc@firat.edu.tr
    Assoc. Prof. Dr. Ali Konuralp, Celal Bayar University, Turkey, ali.konuralp@cbu.edu.tr
    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.
    • 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
  • Discrete Fractional Calculus with Applications
    Prof. Dr. G. C. Wu, Neijiang Normal University, China, wuguocheng@gmail.com
    Prof. Dr. Ioannis Dassios, ESIPP, University College Dublin (UCD), Dublin, Ireland, ioannis.dassios@ul.ie
    Difference equations of fractional order have recently proven to be valuable tools in the modeling of many phenomena in various fields of science and engineering. Indeed, we can find numerous applications in viscoelasticity, electrochemistry, control, porous media, electromagnetism, and so forth.At this point it is strongly believed that the fractional discrete operators can have important contribution in generalizing this idea to classical mechanics, non-relativistic quantum mechanics and relativistic quantum field theories.
    The theory of discrete fractional equations is also a promising tool for several biological and physical applications where the memory effect appears. The dynamics of the complex systems are better described within this new powerful tool. The nanotechnology and its applications in biology for example as well as the discrete gravity are fields where the fractional dis- crete models will play an important role in the future.
    • New methods for solving fractional difference equations
    • The Nabla operator and its application
    • Fractional difference equations applied in physics, mechanics, and macroeconomics
    • Numerical methods for solving non-linear fractional difference equations
    • Stochastic fractional difference equations and applications
    • Discrete time systems of fractional order
    • Stability results for systems of fractional difference equations
    • Perturbation theory for systems of fractional difference equations
  • New Fractional Derivatives and Their Applications
    Prof. Dr. Dumitru Baleanu, Cankaya University, Turkey, dumitru@cankaya.edu.tr
    Prof. Dr. Jordan Hristov, Sofia, Bulgaria, jyh@uctm.edu
    Asst. Prof. Dr. Derya AVCI, Balikesir University, Turkey, dkaradeniz@balikesir.edu.tr
    Nowadays, there has been an increasing interest to the new types of fractional derivatives. The well-known fractional derivatives such as Riemann-Liouville, Caputo, Riesz are successful for modelling real World problems. In addition, these fractional operators give the memory and hereditary effects in physical phenomena. However, these are non-local operators described by convolution integrals with weakly singular kernels. Due to these structures, some complexities can naturally occur in the mathematical modelling and solution processes. Because of these hardness, many researchers have paid attention to introduce new derivatives with fractional parameter in the last years. Caputo-Fabrizio, Atangana-Baleanu, Beta, Conformable derivatives with fractional parameter are pioneering definitions in this sense.
    • Description of new fractional derivatives
    • New properties of new fractional derivatives
    • Integral transform techniques in sense of new fractional operators
    • New analytical/numerical methods
    • Mathematical modelling in terms of new fractional operators
    • Foundation of new relations between existing and new fractional operators
  • Nonlinear Dynamical Systems and Chaos
    Prof. Dr. Huseyin Merdan, TOBB ETU, Turkey, merdan@etu.edu.tr
    Prof. Dr. Songul Kaya Merdan, METU, Turkey, smerdan@metu.edu.tr
    Asst. Prof. Dr. Esra Karaoglu, THK University, Turkey, ekaraoglu@thk.edu.tr
    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.
    • 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 fnance
  • Analytical and Numerical Methods for Solving Nonlinear Partial Differential Equations
    Prof. Dr. Hasan Bulut, Firat University, Turkey, hbulut@firat.edu.tr
    Prof. Dr. Zakia Hammouch, Universite Moulay Ismail FSTE Errachidia, Morocco, hammouch.zakia@gmail.com
    Assoc. Prof. Dr. H. Mehmet Baskonus, Munzur University, Turkey, hmbaskonus@gmail.com
    Prof. Dr. Elhoussine Azroul, Universite Sidi Mohamed Ben Abdellah, Morocco, elhoussine.azroul@gmail.com
    Nowadays, partial differential equations (PDEs) have been recognized as a powerful modeling methodology. Most of the phenomena arising in mathematical physics, chemistry, biology and engineering fields can be expressed by PDEs. Many engineering applications are simulated mathematically as PDEs with initial and boundary conditions. Therefore, it becomes increasingly important to highlight the importance of PDEs and to be familiar with all traditional and recently developed methods for solving them. This special issue is concerned with recent works in the field of partial differential equations, various analytical and numerical methods for solving them and the implementation of such methods.
    • Analytical methods for partial differential equations
    • Iteration methods for partial differential equations
    • Invariant, symmetry and similarity solutions for partial differential equations
    • Numerical methods for partial differential equations
    • Perturbation methods for partial differential equations
    • Polynomials approximation methods for partial differential equations
    • Stochastic partial differential equations and applications
  • Fractal and Fractional Calculus
    Prof Dr. Alireza Khalili Golmankhaneh, Iran, a.khalili@iaurmia.ac.ir
    The goal of this session is to bring together researchers to discuss about fractal geometry and analysis on them. Fractal analysis was studied using different methods such as probabilistic approach, measure approach, harmonic calculus, and fractional spaces. Recently, F^a-Calculus was suggested as a framework which is algorithmic. F^a-C is a generalization of the standard Riemann calculus which utilized on fractal sets and parametrized fractal curves. F^a-C was used to model the anomalous diffusion in porous media and involves local fractional orders derivative that has important role in the applications. Non-local derivatives on fractal were defined to model the process with memory effect on them. Sup-and supper diffusion were characterized on totally disconnected fractal sets. Any research related to fractal geometry, fractal analysis for different kind of the fractals, or solving corresponding differential equation utilizing numerical or analytical methods, is welcome in this session.
    • Fractal dimensions and relations
    • F^a-Calculus and the generalization
    • Fractional spaces connections with fractals
    • Random walk on fractals
    • Laplacian on fractal
    • Spectral dimension and connections with the physical properties
    • Fractal antenna and properties
    • Fractal geometry application in medical, biomedical, Astronomy, Computer science, Fluid mechanics, Telecommunications, Surface physics