Fractional Calculus and Its Applications: Historical and Recent Developments
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 1 August 2024 | Viewed by 478
Special Issue Editors
Interests: fractional calculus; fractional boundary or initial value problems; existence and uniqueness of solutions; stability of solutions; convolution operators
Interests: optimal control theory; mathematical modeling; optimization methods; applications to biology and epidemiology
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional calculus is a field of mathematical analysis that generalizes the concept of differentiation and integration to non-integer orders. The history of fractional calculus dates back to the 17th century, with developments by mathematicians like Leibniz and L'Hôpital. However, the interest in fractional calculus faded for several centuries, and it was not until the 19th century that the topic regained attention. Nowadays, fractional calculus provides a powerful mathematical tool for describing systems with memory effects or systems involving fractal geometry. Its applications range from areas such as signal processing, viscoelasticity, and control theory to the modeling of complex phenomena.
This Special Issue will accept high-quality articles on the theory and applications of fractional calculus, showing the latest developments in the area and its evolution over the years. The aim is to bring together researchers in mathematics, physics, engineering, or other fields, to showcase their most recent work, contextualizing it with existing results and highlighting the importance of this area in mathematics.
Dr. Anabela S. Silva
Dr. Cristiana J. Silva
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.
Keywords
- fractional integrals and derivatives
- history of fractional calculus
- fractional ordinary and partial differential equations
- properties of solutions
- mathematical modelling involving fractional ODEs and PDEs calculus
- numerical methods
- applications
