Fractional Differential Equations and Dynamical Systems

Dear Colleagues,

This Special Issue will explore new research and trends in dynamical systems focused on problems involving fractional differential equations. The motivation of fractional order equations and the theory are able to describe complex processors and systems, including the effect of “memory” on describing a system by considering fractional derivatives and differences instead of integer jumps in the growth of physical processors. They appear in a wide range of scientific applications in the fields of engineering, physics, chemistry, and biology, as well as in financial mathematics and health informatics. There is a strong demand to develop both functional analysis theory and approximation schemes to find both analytical solutions and their approximations. There has been rapid growth and interest in both of these areas in the last twenty years, and as society continually tangibly progresses to the computing age, understanding and predicting real-world phenomena are crucial, and fractional calculus is providing an avenue at the forefront of this. This Special Issue will focus on manuscripts that enrich and complement the area of fractional calculus and dynamical systems. The following areas are of significance and interest to this Special Issue, but it is not limited to this list: 

• New numerical approximation schemes for time fractional differential equations;
• Theory of stochastic fractional differential equations and schemes;
• New qualitative fractional order theory in dynamical systems;
• Improvements to discrete fractional calculus and applications to dynamical systems;
• Theory of fractional integrals, operators, and derivatives to describe problems;
• Asymptotic theory and numerical methods for fractional differential equations;
• Higher-order fractional differential equations and applications to boundary value problems;
• Fractional calculus and its application to differential geometry and mathematical physics.

Dr. Nicholas Fewster-Young
Dr. Gabriella Bretti
Guest Editors

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 submissions that pass pre-check are 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. Axioms 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 2400 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.

• fractional differential equations
• dynamical systems
• fractional calculus
• fractional integrals