Application of Fractional Calculus as an Interdisciplinary Modeling Framework, 2nd Edition

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

Deadline for manuscript submissions: 30 June 2024 | Viewed by 1432

Special Issue Editors


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Center for Research and Training in Innovative Techniques of Applied Mathematics in Engineering, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: applied mathematics; fractional calculus; distribution theory; partial differential equations
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Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, Poland
Interests: fractional-order systems; dynamical systems; numerical analysis; stability analysis; mathematical modeling
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Center for Research and Training in Innovative Techniques of Applied Mathematics in Engineering, University Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: fractional-order partial differential equations; hybrid functions; block-pulse; non-orthogonal polynomials
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Center for Research and Training in Innovative Techniques of Applied Mathematics in Engineering, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: algebraic logic; relationship theory; rough sets; random variables; stochastic processes; game theory; differential equations; fractional calculus; grammatical evolution; set theory; mathematical analysis
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Center for Research and Training in Innovative Techniques of Applied Mathematics in Engineering, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: applied mathematics; fractional calculus; wavelet analysis; operations research; graph theory; bio-inspired computing
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

From mathematical fantasy to a complex and rigorous mathematical theory, the subject of fractional calculus has applications in diverse and widespread fields of engineering and science and has enjoyed the rapid growth of its applications.

One of the greatest ways to make discoveries in math and science is to find answers to new questions and generate interesting results. Even if fractional calculus has found an important place in science and engineering as a powerful tool for modeling complex phenomena with many excellent results, there are still some unresolved challenges.

This Special Issue aims to bring together researchers from diverse fields such as physics, medicine, biology, biosciences, engineering, robotics, signal processing, and applied mathematics to create an international and interdisciplinary framework for sharing innovative research related to fractional calculus.

This Special Issue will cover all theoretical and applied aspects of fractional calculus and its related approaches. Original research article submissions dealing with the topics mentioned below are encouraged.

TOPICS:

  • Fractional differential theory and application;
  • Fractional differential equation numerical solution and application;
  • Fractional integral theory and application;
  • Fractional integral equation numerical solution and application;
  • Local fractional calculus theory and application;
  • Applications of fractional differentiation in signal analysis, chaos, bioengineering, economics, finance, fractal theory, optics, control systems, artificial intelligence, mathematical biology, nanotechnology and medicine, physics, mechanics, engineering, probability, and statistics.

Please feel free to read and download all published articles in our 1st volume:

https://www.mdpi.com/journal/fractalfract/special_issues/fract_calc_model

Dr. Antonela Toma
Dr. Dorota Mozyrska
Dr. Octavian Postavaru
Dr. Mihai Rebenciuc
Dr. Simona Mihaela Bibic
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. 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

  • general fractional calculus
  • special functions
  • integral transforms
  • harmonic analysis
  • fractional variational calculus
  • ODEs, PDEs and integral equations and systems
  • wave equation
  • evolution equation
  • mathematical models of phenomena
  • fractional quantum fields
  • nonlinear control methods
  • fractional-order controllers
  • bio-medical applications
  • economic models with memory
  • numerical and approximation methods
  • computational procedures and algorithms

Published Papers (1 paper)

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Research

15 pages, 4005 KiB  
Article
Identification of Fractional Models of an Induction Motor with Errors in Variables
by Dmitriy Ivanov
Fractal Fract. 2023, 7(6), 485; https://doi.org/10.3390/fractalfract7060485 - 18 Jun 2023
Cited by 2 | Viewed by 1095
Abstract
The skin effect in modeling an induction motor can be described by fractional differential equations. The existing methods for identifying the parameters of an induction motor with a rotor skin effect suggest the presence of errors only in the output. The presence of [...] Read more.
The skin effect in modeling an induction motor can be described by fractional differential equations. The existing methods for identifying the parameters of an induction motor with a rotor skin effect suggest the presence of errors only in the output. The presence of errors in measuring currents and voltages leads to errors in both input and output signals. Applying standard methods, such as the ordinary least squares method, leads to biased estimates in these types of problems. The study proposes a new method for identifying the parameters of an induction motor in the presence of a skin effect. Estimates of parameters were determined based on generalized total least squares. The simulation results obtained showed the high accuracy of the obtained estimates. The results of this research can be applied in the development of predictive diagnostic systems. This study shows that ordinary least squares parameter estimates can lead to incorrect operation of the fault diagnosis system. Full article
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