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Axioms
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Advancements in Applied Mathematics and Computational Physics, 2nd Edition
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Advancements in Applied Mathematics and Computational Physics, 2nd Edition

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

Deadline for manuscript submissions: 31 May 2026 | Viewed by 1836

Special Issue Editors

Dr. Branislav M. Ranđelović

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Guest Editor
Department of Mathematics, Faculty of Electronic Engineering, University of Nis, Nis, Serbia
Interests: applied mathematics; graph theory; numerical mathematics; discrete mathematics; material science and nanoelectronics; fuzzy logic; fuzzy sets; MCDM
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Branislav Vlahovic

E-Mail Website
Guest Editor
Department of Mathematics and Physics, North Carolina Central University, Durham, NC 27707, USA
Interests: genomics and mathematics,experimental and theoretical nuclear and hypernuclear physics; material science; nanotechnology; photonics and photovoltaics; chemistry; cosmology
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Mathematics and physics, as basic natural sciences, are the root of almost all processes in nature and technology. There are a large number of situations where those two sciences can offer the best models and most appropriate explanations for natural processes or technological problems.

The aim of this Special Issue is to present various ways and new solutions to explain the nature of matter, biophysical systems and systems in technical sciences in the frame of overall reality, using the latest achievements in applied mathematics and computational physics.

The focus of this Special Issue is on new results and solutions in contemporary applied mathematics, algebra, mathematical logic, graph theory, fractals, chaos theory, numerical mathematics, mathematical physics and the latest results in experimental physics, computational physics and physical electronics for problems in nature, technology, technics and electronics.

This Special Issue will cover a broad range of topics to provide new insight into the exploration of the world of electronics, physical electronics, nuclear and hyper-nuclear physics, nanotechnology, material science, photonics and photovoltaics, cosmology, genomics and nature.

The content of this Special Issue will link to other existing literature and already published results as both applied mathematics and computational physics successfully integrate and open up new insights in natural phenomena, offering incredible tools to explain them.

Dr. Branislav Randjelovic
Prof. Dr. Branislav Vlahovic
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 250 words) can be sent to the Editorial Office for assessment.

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
  • computational physics
  • experimental and theoretical physics
  • physical electronics
  • algebra

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Related Special Issue

Published Papers (3 papers)

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Research

15 pages, 308 KB  
Article
Boundedness and Applications of Fractional Integral Operators in Nonlocal Problems with Fractional Laplacians
by Saba Mehmood, Dušan J. Simjanović and Branislav M. Randjelović
Axioms 2026, 15(3), 220; https://doi.org/10.3390/axioms15030220 - 16 Mar 2026
Viewed by 438
Abstract
In this paper, we investigate the properties of the boundedness of fractional integral operators Kα defined on general measure metric spaces. We study their action in Lebesgue spaces Lp(Y), Morrey spaces Lφp(Y) [...] Read more.
In this paper, we investigate the properties of the boundedness of fractional integral operators Kα defined on general measure metric spaces. We study their action in Lebesgue spaces Lp(Y), Morrey spaces Lφp(Y), and extend our analysis to fractional Sobolev spaces Wα,p(Y). Using classical dyadic decomposition and the Hardy–Littlewood maximal operator, we establish sharp bounds for Kα in terms of kernel parameters and the geometric structure of the space. A significant contribution of this work is the proof that Kα is bounded from Wα,p(Y) to Lq(Y), where thus linking our operator-theoretic framework with the theory of nonlocal and fractional partial differential equations. These results provide valuable tools for studying regularity, a priori estimates, and solution mappings in nonlocal problems involving the fractional Laplacian and related operators on irregular or non- Euclidean domains. Full article
(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics, 2nd Edition)
18 pages, 1400 KB  
Article
A Structure-Preserving Scheme for the Space-Fractional Klein-Gordon-Schrödinger System with the Invariant Energy Quadratization Method
by Wenye Jiang, Yu Li and Yan Fan
Axioms 2026, 15(3), 181; https://doi.org/10.3390/axioms15030181 - 1 Mar 2026
Viewed by 324
Abstract
This paper investigates the conservation of mass and energy in the space-fractional Klein-Gordon-Schrödinger system with fractional Laplacian operators. Firstly, the invariant energy quadratization method is applied to transform the original system into an equivalent form. For spatial discretization, Fourier spectral methods are employed, [...] Read more.
This paper investigates the conservation of mass and energy in the space-fractional Klein-Gordon-Schrödinger system with fractional Laplacian operators. Firstly, the invariant energy quadratization method is applied to transform the original system into an equivalent form. For spatial discretization, Fourier spectral methods are employed, yielding a semi-discrete scheme. Subsequently, an invariant energy quadratization Runge-Kutta approach is used for temporal discretization, resulting in a fully discrete scheme. Owing to its diagonally implicit structure, the proposed scheme is both highly accurate and efficient while preserving mass and energy exactly. Numerical experiments are conducted to verify the accuracy and conservation properties of the method. Full article
(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics, 2nd Edition)
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20 pages, 685 KB  
Article
Parameter Estimation for Stochastic Korteweg–de Vries Equations
by Zhenyu Lang, Xiuling Yin, Yanqin Liu and Yaru Wang
Axioms 2025, 14(12), 884; https://doi.org/10.3390/axioms14120884 - 29 Nov 2025
Viewed by 586
Abstract
In this paper, we propose two methods for parameter estimation in stochastic Korteweg–de Vries (KdV) equations with unknown parameters. Both methods are based on the numerical discretization of the stochastic KdV equation. Moreover, we further propose an extrapolation-based approach to improve the accuracy [...] Read more.
In this paper, we propose two methods for parameter estimation in stochastic Korteweg–de Vries (KdV) equations with unknown parameters. Both methods are based on the numerical discretization of the stochastic KdV equation. Moreover, we further propose an extrapolation-based approach to improve the accuracy of parameter estimation. In addition, for the deterministic case, the convergence and conservation of the fully discrete schemes are analyzed. Both our theoretical analysis and numerical tests indicate the efficiency of the proposed methods for the KdV equations considered. Full article
(This article belongs to the Special Issue Advancements in Applied Mathematics and Computational Physics, 2nd Edition)
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