Analysis and Applications of Fractional Calculus and Mathematical Modelling

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 73

Special Issue Editor


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Guest Editor
Departamento de Engenharia Química, Universidade Federal do Paraná, Rua Coronel Francisco H. dos Santos, 100, Curitiba 81531-980, PR, Brazil
Interests: fractional calculus; process control; process instrumentation; diffusion phenomena; design of experiments

Special Issue Information

 Dear Colleagues,

Almost 330 years after Leibniz’s letter to L'Hopital, fractional calculus and derivatives of arbitrary order are still being used extensively and widely in both fundamental and applied research. Consequently, it is important to consider the following question:

How far can knowledge and scientific boundaries be pushed with the aid of fractional calculus?

This Special Issue, entitled “Analysis and Applications of Fractional Calculus and Mathematical Modelling”, intends to provide readers with state-of-the-art research publications showing ideas and challenges for future research and contribute to the beginning of collaboration and exchange among different research groups in fractional calculus worldwide in the future.

To achieve this goal, the Special Issue has two major branches. In the first one, manuscripts with fundamental research involving analytical mathematical methods, novel derivative definitions, and numerical methods for faster solutions, among others, are very welcome. In the second branch, applied research studies and scenarios will certainly aid in the development of a milestone Special Issue by investigating fractional calculus' applications to different research areas and fields, such as process systems engineering, transport phenomena, biological systems, electrical circuits, and materials science, among others.

From these two branches—fundamental and applied research—this Special Issue intends to become a valuable reference for both beginners and senior researchers in the academic world and also for practitioner professionals in industry.

Dr. Marcelo Kaminski Lenzi
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 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. Fractal and Fractional 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 2700 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 calculus
  • fractional differential and integral equations
  • fractional models
  • mathematical modelling
  • fractional dynamics
  • modeling simulation
  • process control
  • application of fractional calculus, focusing on modeling and optimization.

Published Papers

This special issue is now open for submission.
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