Fractional Differential and Partial Differential Systems with Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (29 February 2020) | Viewed by 12278
Special Issue Editor
Interests: control theory; dynamical system; fractional order systems; delay systems; stochastic system; partial differential equation
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
It is well known that fractional calculus has been recognized since regular calculus, with the first written reference dating back to September 1695 in letter from Leibniz to L’Hospital. In recent years, various families of fractional-order systems have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical, physical, chemical, engineering, rubber technology, robotics, and statistical sciences. Many of these fractional-order systems provide interesting, potentially useful tools for solving ordinary and partial differential equations, as well as integral and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables. Moreover, fractional calculus plays an important role even in complex systems, and therefore allows us to use a better description of some real-world phenomena. Based on this fact, the fractional order systems are ubiquitous, and the whole real world around us is a fractional, not integer one. Because of this, it is urgent consider almost all systems as fractional order systems.
In this Special Issue, we invite and welcome reviews, and expository and original research articles dealing with recent advances in the theory of fractional-order systems and their multidisciplinary applications.
Prof. Dr. Dimplekumar N. Chalishajar
Guest Editor
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Keywords
- dynamical and stochastic systems based upon fractional calculus
- operators of fractional calculus and their applications
- fractional-order ODEs and PDEs
- fractional calculus and its applications
- fractional-order integro-differential equations
- fixed point theory and monotone operator theory
- finite/infinite time/state delay systems/inclusions with set valued analysis
- numerical estimation of fractional order systems
