Special Track on Fractional Calculus with Applications and Simulations

The subject of fractional calculus and fractional mathematical models has gained considerable popularity and importance due to its applications in various scientific and engineering fields, such as high energy physics, anomalous diffusion, viscoelastic materials, system control, rheology, geophysics, biomedical engineering and economics. The character of this subject is that fractional derivatives and integrals have non-local property. These fractional mathematical models allow us to describe and model real objects more accurately than the classical "integer" ones.

Actually fractional calculus is a topic being more than 300 years old. 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. Our interested topics are enumerated in the below and submissions in the relevant fields are welcome.

  Topics of interests

  • - Theories, Applications and Models
     Fractional calculus
     Fractional integral and differential equations
     Fractional mathematical, physical and engineering models
     Fractional nonlinear/stochastic system
     Applications of fractional calculus in finances, control theory, etc
    - Simulations
     Simulations for fractional models
     Approximations for fractional calculus
     Numerical methods for fractional ODEs and PDEs, etc
     Optimization of these simulations and applications

  Track Organizer

    Track Chair:
    - Yanmin Zhao, Xuchang University, Queensland University of Technology
    Track Co-Chair:
    - Jose Luis Vazquez-Poletti, Universidad Complutense de Madrid
    - Ningming Nie, Chinese Academy of Science
    - Jianfei Huang, Qingdao University

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