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Fractal Fract
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Women’s Special Issue Series: Fractal and Fractional, 2nd Edition
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Women’s Special Issue Series: Fractal and Fractional, 2nd Edition

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

Deadline for manuscript submissions: 28 February 2025 | Viewed by 4029

Special Issue Editors

Dr. Ivanka Stamova

E-Mail Website
Guest Editor
Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
Interests: nonlinear analysis; mathematical modeling; fractional order systems
Special Issues, Collections and Topics in MDPI journals
Dr. Dana Copot

E-Mail Website
Guest Editor
Research Group on Dynamical Systems and Control (DYSC), Department of Electromechanical, Systems and Metal Engineering, Ghent University, B-9052 Ghent, Belgium
Interests: modelling and control; identification; anesthesia control; objective pain assessment; process control
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue is part of the excellent MDPI journal initiative to promote and support the contributions of women in research. The aim of the Guest Editors is to collect research articles as well as review articles that highlight the scientific achievements of women in the field of “Fractal and Fractional”. Recently introduced fractional and related modeling methodologies are also of great interest.

In recent years, fractional calculus has played a crucial role in modeling numerous real-world problems in studies in such areas as physics, thermodynamics, biophysics, aerodynamics, electrical circuits, electron-analytical chemistry, control theory, optimization, programming, associative memory, fitting of experimental data, etc. Significant results have been achieved as a result of the research based on fractals and fractional-order models.

We cordially invite researchers to submit their work on topics across all areas of “Fractal and Fractional”, including theoretical studies and practical applications. For this Special Issue, we welcome all research led by female scientists, where male scientists may offer support for the initiative as co-authors.

Dr. Ivanka Stamova
Dr. Dana Copot
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

  • fractals and fractional calculus
  • fractals and fractional calculus in computing
  • fractals and fractional calculus in mathematical physics
  • fractals and fractional calculus in biology and neurocomputing
  • fractals and fractional calculus in engineering
  • fractals and fractional calculus in economics
  • fratals and fractional calculus in educational technologies
  • fractional calculus and control
  • fractional calculus and optimization
  • fractional calculus and stability
  • fractional models and uncertainty
  • related fractional modeling

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Related Special Issue

Published Papers (3 papers)

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Research

25 pages, 8771 KiB  
Article
Mathematical Modeling of Alzheimer’s Drug Donepezil Hydrochloride Transport to the Brain after Oral Administration
by Corina S. Drapaca
Fractal Fract. 2024, 8(9), 496; https://doi.org/10.3390/fractalfract8090496 - 23 Aug 2024
Viewed by 600
Abstract
Alzheimer’s disease (AD) is a progressive degenerative disorder that causes behavioral changes, cognitive decline, and memory loss. Currently, AD is incurable, and the few available medicines may, at best, improve symptoms or slow down AD progression. One main challenge in drug delivery to [...] Read more.
Alzheimer’s disease (AD) is a progressive degenerative disorder that causes behavioral changes, cognitive decline, and memory loss. Currently, AD is incurable, and the few available medicines may, at best, improve symptoms or slow down AD progression. One main challenge in drug delivery to the brain is the presence of the blood–brain barrier (BBB), a semi-permeable layer around cerebral capillaries controlling the influx of blood-borne particles into the brain. In this paper, a mathematical model of drug transport to the brain is proposed that incorporates two mechanisms of BBB crossing: transcytosis and diffusion. To account for the structural damage and accumulation of harmful waste in the brain caused by AD, the diffusion is assumed to be anomalous and is modeled using spatial Riemann–Liouville fractional-order derivatives. The model’s parameters are taken from published experimental observations of the delivery to mice brains of the orally administered AD drug donepezil hydrochloride. Numerical simulations suggest that drug delivery modalities should depend on the BBB fitness and anomalous diffusion and be tailored to AD severity. These results may inspire novel brain-targeted drug carriers for improved AD therapies. Full article
(This article belongs to the Special Issue Women’s Special Issue Series: Fractal and Fractional, 2nd Edition)
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19 pages, 367 KiB  
Article
On the Controllability of Coupled Nonlocal Partial Integrodifferential Equations Using Fractional Power Operators
by Hamida Litimein, Zhen-You Huang, Abdelghani Ouahab, Ivanka Stamova and Mohammed Said Souid
Fractal Fract. 2024, 8(5), 270; https://doi.org/10.3390/fractalfract8050270 - 30 Apr 2024
Cited by 1 | Viewed by 1169
Abstract
In this research paper, we investigate the controllability in the α-norm of a coupled system of integrodifferential equations with state-dependent nonlocal conditions in generalized Banach spaces. We establish sufficient conditions for the system’s controllability using resolvent operator theory introduced by Grimmer, fractional [...] Read more.
In this research paper, we investigate the controllability in the α-norm of a coupled system of integrodifferential equations with state-dependent nonlocal conditions in generalized Banach spaces. We establish sufficient conditions for the system’s controllability using resolvent operator theory introduced by Grimmer, fractional power operators, and fixed-point theorems associated with generalized measures of noncompactness for condensing operators in vector Banach spaces. Finally, we present an application example to validate the proposed methodology in this research. Full article
(This article belongs to the Special Issue Women’s Special Issue Series: Fractal and Fractional, 2nd Edition)
15 pages, 318 KiB  
Article
Further Fractional Hadamard Integral Inequalities Utilizing Extended Convex Functions
by Areej A. Almoneef, Mohamed A. Barakat and Abd-Allah Hyder
Fractal Fract. 2024, 8(4), 230; https://doi.org/10.3390/fractalfract8040230 - 16 Apr 2024
Cited by 1 | Viewed by 1305
Abstract
This work investigates novel fractional Hadamard integral inequalities by utilizing extended convex functions and generalized Riemann-Liouville operators. By carefully using extended integral formulations, we not only find novel inequalities but also improve the accuracy of error bounds related to fractional Hadamard integrals. Our [...] Read more.
This work investigates novel fractional Hadamard integral inequalities by utilizing extended convex functions and generalized Riemann-Liouville operators. By carefully using extended integral formulations, we not only find novel inequalities but also improve the accuracy of error bounds related to fractional Hadamard integrals. Our study broadens the applicability of these inequalities and shows that they are useful for a variety of convexity cases. Our results contribute to the advancement of mathematical analysis and provide useful information for theoretical comprehension as well as practical applications across several scientific directions. Full article
(This article belongs to the Special Issue Women’s Special Issue Series: Fractal and Fractional, 2nd Edition)
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