Mathematical Modelling of Fractional Order Dynamical Systems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (1 October 2019)
Special Issue Editor
Interests: robotics; linear systems; robot path planning; controllability; fractional order systems; switched linear systems
Special Issue Information
Dear Colleagues,
This Special Issue, “Mathematical Modelling of Fractional Order Dynamical Systems”, will be open for the publication of high-quality mathematical articles in the field of mathematical modelling of fractional order dynamical systems.
Fractional order calculus is as old as integer calculus, although until recently its application was exclusively in mathematics. Various types of real systems are better described with non-integer order differential and difference equations. This characteristic has attracted engineers’ interest in recent years, and now it is a tool used in almost every area of science. At present, the field of fractional calculus has attracted the interest of scientists in many areas, including mathematics, physics, chemistry, engineering, and even finance and social sciences. The main topics of the present Special Issue are related to the mathematical modelling of fractional systems, stability, controllability, observability, continuous and discrete time fractional systems, fractional control systems, and applications of fractional systems. The many problems of fractional order systems are solved in infinite-dimensional spaces, such as Hilbert or Banach space. Articles devoted to these problems are also welcome.
Moreover, this Special Issue gives an opportunity for researchers and practitioners to communicate their ideas.
Prof. Dr. Artur Babiarz
Guest Editor
Manuscript Submission Information
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Keywords
- non-integer systems
- fractional systems
- fractional difference
- fractional derivative
- stability
- controllability
- observability
- fractional order transfer function
- fractional order regulators
