Special Issue "Fractional Differential and Partial Differential Systems with Applications"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 29 February 2020

Special Issue Editor

Guest Editor
Prof. Dr. Dimplekumar N. Chalishajar

Department of Applied Mathematics, Virginia Military Institute, 435 Mallory Hall, Letcher Av., Lexington, VA 24450, USA
Website | E-Mail
Interests: control theory; dynamical system; fractional order systems; delay systems; stochastic system; partial differential equation

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

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 850 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • 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

Published Papers

This special issue is now open for submission.
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