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Axioms
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Mathematical and Computational Applications
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Mathematical and Computational Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: closed (20 December 2022) | Viewed by 7798

Special Issue Editors

Prof. Dr. Nohe R. Cazarez-Castro

E-Mail Website
Guest Editor
Instituto Tecnológico de Tijuana—Tecnológico Nacional de México, Tijuana 22414, Mexico
Interests: mathematical and computational modeling; fuzzy differential equations; fuzzy systems; robotics; nonlinear control; genetic algorithms and applications
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Selene L. Cardenas-Maciel

E-Mail Website
Guest Editor
Centre for Computational and Mathematical Modelling, Analysis and Aplications, Tecnológico Nacional de México—Instituto Tecnológico de Tijuana (Tijuana Institute of Technology), Tijuana 22414, Mexico
Interests: neuro-fuzzy systems; numerical optimization; mathematical and computational modeling; robotics; intelligent control; fuzzy differential equations
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Jorge A. Lopez-Renteria

E-Mail Website
Guest Editor
CONACyT-Tecnológico nacional de México—Instituto Tecnológico de Tijuana (Tijuana Institute of Technology), Tijuana 22414, Mexico
Interests: dynamical systems and control; bifurcation theory; fractional calculus and systems; stability theory
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We invite you to submit your research to this Special Issue of Axioms on Mathematical and Computational Applications. We are looking for contributions in theory and applications on fuzzy differential equations, intelligent systems, fractional order systems, dynamical systems, control, numerical methods, modeling, and related fields.

Prof. Dr. Nohe R. Cazarez-Castro
Prof. Dr. Selene L. Cardenas-Maciel
Prof. Dr. Jorge A. Lopez-Renteria
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

  • fuzzy differential equations
  • intelligent systems
  • fractional order systems
  • dynamical systems
  • control
  • numerical methods
  • modeling
  • bifurcations
  • fractional order calculus and systems
  • stability theory

Published Papers (4 papers)

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Research

12 pages, 287 KiB  
Article
Fuzzy Differential Subordination for Meromorphic Function
by Sheza El-Deeb, Neelam Khan, Muhammad Arif and Alhanouf Alburaikan
Axioms 2022, 11(10), 534; https://doi.org/10.3390/axioms11100534 - 7 Oct 2022
Cited by 9 | Viewed by 1081
Abstract
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best subordinate are given, respectively. [...] Read more.
This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. This work aims to present new fuzzy differential subordinations for which the fuzzy best dominant and fuzzy best subordinate are given, respectively. The original theorems proved in the paper generate interesting corollaries for particular choices of functions acting as fuzzy best dominant. Here, in this article, fuzzy differential subordination results are obtained using a new integral operator introduced in this paper for meromorphic function, such that the newly-defined integral operator is starlike and convex, respectively. Full article
(This article belongs to the Special Issue Mathematical and Computational Applications)
12 pages, 371 KiB  
Article
An MDL-Based Wavelet Scattering Features Selection for Signal Classification
by Vittoria Bruni, Maria Lucia Cardinali and Domenico Vitulano
Axioms 2022, 11(8), 376; https://doi.org/10.3390/axioms11080376 - 30 Jul 2022
Cited by 4 | Viewed by 1582
Abstract
Wavelet scattering is a redundant time-frequency transform that was shown to be a powerful tool in signal classification. It shares the convolutional architecture with convolutional neural networks, but it offers some advantages, including faster training and small training sets. However, it introduces some [...] Read more.
Wavelet scattering is a redundant time-frequency transform that was shown to be a powerful tool in signal classification. It shares the convolutional architecture with convolutional neural networks, but it offers some advantages, including faster training and small training sets. However, it introduces some redundancy along the frequency axis, especially for filters that have a high degree of overlap. This naturally leads to a need for dimensionality reduction to further increase its efficiency as a machine learning tool. In this paper, the Minimum Description Length is used to define an automatic procedure for optimizing the selection of the scattering features, even in the frequency domain. The proposed study is limited to the class of uniform sampling models. Experimental results show that the proposed method is able to automatically select the optimal sampling step that guarantees the highest classification accuracy for fixed transform parameters, when applied to audio/sound signals. Full article
(This article belongs to the Special Issue Mathematical and Computational Applications)
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10 pages, 487 KiB  
Article
Ultimate Bounds for a Diabetes Mathematical Model Considering Glucose Homeostasis
by Diana Gamboa, Luis N. Coria and Paul A. Valle
Axioms 2022, 11(7), 320; https://doi.org/10.3390/axioms11070320 - 30 Jun 2022
Cited by 2 | Viewed by 1719
Abstract
This paper deals with a recently reported mathematical model formulated by five first-order ordinary differential equations that describe glucoregulatory dynamics. As main contributions, we found a localization domain with all compact invariant sets; we settled on sufficient conditions for the existence of a [...] Read more.
This paper deals with a recently reported mathematical model formulated by five first-order ordinary differential equations that describe glucoregulatory dynamics. As main contributions, we found a localization domain with all compact invariant sets; we settled on sufficient conditions for the existence of a bounded positively-invariant domain. We applied the localization of compact invariant sets and Lyapunov’s direct methods to obtain these results. The localization results establish the maximum cell concentration for each variable. On the other hand, Lyapunov’s direct method provides sufficient conditions for the bounded positively-invariant domain to attract all trajectories with non-negative initial conditions. Further, we illustrate our analytical results with numerical simulations. Overall, our results are valuable information for a better understanding of this disease. Bounds and attractive domains are crucial tools to design practical applications such as insulin controllers or in silico experiments. In addition, the model can be used to understand the long-term dynamics of the system. Full article
(This article belongs to the Special Issue Mathematical and Computational Applications)
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16 pages, 4441 KiB  
Article
An Adaptive Three-Dimensional Improved Virtual Force Coverage Algorithm for Nodes in WSN
by Mengjian Zhang, Jing Yang and Tao Qin
Axioms 2022, 11(5), 199; https://doi.org/10.3390/axioms11050199 - 24 Apr 2022
Cited by 3 | Viewed by 2132
Abstract
The original virtual force algorithm (VFA) is proposed for the two-dimensional node coverage and localization of wireless sensor networks (WSN). This work proposes a novel three-dimensional improved virtual force coverage (3D-IVFC) algorithm for the 3D coverage of nodes in WSN. Firstly, the node [...] Read more.
The original virtual force algorithm (VFA) is proposed for the two-dimensional node coverage and localization of wireless sensor networks (WSN). This work proposes a novel three-dimensional improved virtual force coverage (3D-IVFC) algorithm for the 3D coverage of nodes in WSN. Firstly, the node coverage theory is analyzed, which is about node coverage in three-dimensional space. Secondly, an improved three-dimensional space virtual force coverage method is proposed with an adaptive virtual force parameter control strategy. Finally, simulation experiments are utilized to verify the performance of the 3D-IVFC approach. Experimental results show that during random initialization, the average coverage rate of the improved 3D space coverage algorithm was increased by 0.76% and the deployment time was reduced by 0.1712 s; during center initialization, the average coverage rate of the improved 3D space coverage algorithm was increased by 0.65% and the coverage time increased slightly. Moreover, the proposed method is also used to solve the three-dimensional surface node coverage of the WSN. Full article
(This article belongs to the Special Issue Mathematical and Computational Applications)
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