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Axioms
Special Issues
Applied Mathematics and Mathematical Modeling
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Applied Mathematics and Mathematical Modeling

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

Deadline for manuscript submissions: 30 September 2025 | Viewed by 2854

Special Issue Editors

Dr. Santiago E. Moll

E-Mail Website
Guest Editor
Departamento de Matemática Aplicada, Universitat Politècnica de València Camino de Vera, 46022 Valencia, Spain
Interests: functional analysis; optimization in orbital mechanics; topological data analysis; women's health (analyzing data related to menstruation and menopause)
Prof. Dr. Luis Manuel Sánchez Ruiz

E-Mail Website1 Website2
Guest Editor
ETSID-Department of Applied Mathematics, Universitat Politecnica de Valencia, 46022 Valencia, Spain
Interests: fractional calculus; analytical and computational methods; differential and difference equations; real and complex analysis; applied and computational mathematics; mathematical physics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

This Special Issue, entitled “Applied Mathematics and Mathematical Modeling”, focuses on cutting-edge research and innovative approaches in applied mathematics and mathematical modeling, highlighting their impact on real-world applications. Topics will include advanced techniques in mathematical modeling, numerical methods, optimization, stochastic processes, computational algorithms, applications in various scientific and engineering fields, and interdisciplinary applications. This Special Issue will serve as a platform for sharing novel findings that advance the field and its practical applications.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

  • Applied mathematics;
  • Mathematical modeling;
  • Numerical methods;
  • Optimization;
  • Stochastic processes;
  • Computational algorithms;
  • Interdisciplinary applications;
  • Real-world applications.

We look forward to receiving your contributions.

Dr. Santiago E. Moll
Prof. Dr. Luis Manuel Sánchez Ruiz
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

  • applied mathematics
  • mathematical modeling
  • numerical methods
  • optimization
  • stochastic processes
  • computational algorithms
  • interdisciplinary applications
  • real-world applications

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (3 papers)

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Research

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24 pages, 457 KiB  
Article
A Taxonomy of the Greimas Square
by Michael Fowler
Axioms 2025, 14(3), 207; https://doi.org/10.3390/axioms14030207 - 12 Mar 2025
Viewed by 348
Abstract
In this article I introduce the semiotic square by A.J. Greimas and the notions of negation and opposition that were central to the Paris School of structural semiotics. I trace the connection of the square to both Aristotle’s square of opposition and the [...] Read more.
In this article I introduce the semiotic square by A.J. Greimas and the notions of negation and opposition that were central to the Paris School of structural semiotics. I trace the connection of the square to both Aristotle’s square of opposition and the Klein four-group as well as propose a formalization of the square. This is first achieved through identifying R-relations on meta-term/seme pairs of the square, then applying lattice theory and formal concept analysis in order to visualize an extended structure. The main result is a protoconcept algebra that generalizes the Greimas square through Boolean operations and provides an ordering of all possible formal concepts, thereby acting as a taxonomy. Full article
(This article belongs to the Special Issue Applied Mathematics and Mathematical Modeling)
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14 pages, 531 KiB  
Article
Optimal Service Time Distribution for an M/G/1 Waiting Queue
by Mario Lefebvre and Roozbeh Yaghoubi
Axioms 2024, 13(9), 594; https://doi.org/10.3390/axioms13090594 - 31 Aug 2024
Cited by 4 | Viewed by 1281
Abstract
Suppose that in an M/G/1 waiting queue, the server can choose between two service time distributions. We look for the choice that enables us to minimize the expected value of a cost criterion that takes into account the cost [...] Read more.
Suppose that in an M/G/1 waiting queue, the server can choose between two service time distributions. We look for the choice that enables us to minimize the expected value of a cost criterion that takes into account the cost incurred by working faster and the time needed to empty the waiting line. The random final time is the first time there is no customer waiting for service. When the service times are exponential random variables, we can appeal to dynamic programming to obtain the optimal solution. In the general case, conditional probability is used. Particular problems in which the capacity of the system is finite are solved explicitly. Full article
(This article belongs to the Special Issue Applied Mathematics and Mathematical Modeling)
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Review

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15 pages, 873 KiB  
Review
Review on Some Boundary Value Problems Defining the Mean First-Passage Time in Cell Migration
by Hélia Serrano and Ramón F. Álvarez-Estrada
Axioms 2024, 13(8), 537; https://doi.org/10.3390/axioms13080537 - 8 Aug 2024
Viewed by 726
Abstract
The mean first-passage time represents the average time for a migrating cell within its environment, starting from a certain position, to reach a specific location or target for the first time. In this feature article, we provide an overview of the characterization of [...] Read more.
The mean first-passage time represents the average time for a migrating cell within its environment, starting from a certain position, to reach a specific location or target for the first time. In this feature article, we provide an overview of the characterization of the mean first-passage time of cells moving inside two- or three-dimensional domains, subject to various boundary conditions (Dirichlet, Neumann, Robin, or mixed), through the so-called adjoint diffusion equation. We concentrate on reducing the latter to inhomogeneous linear integral equations for certain density functions on the boundaries. The integral equations yield the mean first-passage time exactly for a very reduced set of boundaries. For various boundary surfaces, which include small deformations of the exactly solvable boundaries, the integral equations provide approximate solutions. Moreover, the method also allows to deal approximately with mixed boundary conditions, which constitute a genuine long-standing and open problem. New plots, figures, and discussions are presented, aimed at clarifying the analysis. Full article
(This article belongs to the Special Issue Applied Mathematics and Mathematical Modeling)
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