Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.9
2.7
Journals
Symmetry
Special Issues
Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic...
share announcement

Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 30 April 2024 | Viewed by 5376

Special Issue Editors

Prof. Dr. Renhai Wang

E-Mail Website
Guest Editor
School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China
Interests: stochastic PDEs; fractional PDEs; lattice systems; well-posedness of PDEs; random dynamical systems; nonautonomous dynamical systems; pullback attractors; random attractors; invariant measures; large deviation principle; PDEs arriving from ocean, atmosphere and fluid
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Wei Gong

E-Mail Website
Guest Editor
School of Materials and Architectural Engineering of Guizhou Normal University, Guiyang 550025, China
Interests: mathematical models in materials science and architectural engineering; mathematical analysis for structure and properties of polymer materials, symmetry problems in applied sciences, numerical analysis in materials science and architectural engineering
Dr. Pengyu Chen

E-Mail Website1 Website2
Guest Editor
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Interests: stochastic PDEs, nonlinear analysis; fractional dynamics systems; nonlocal evolution equations; random dynamical systems; random attractors; operator semigroups; nonlocal differential equations with delay, PDEs for symmetry, numerical analysis
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Papers on any subjects relating mathematical theories, models and methods in applied sciences from deterministic, stochastic and symmetry perspectives are welcome in this Special Issue.

Prof. Dr. Renhai Wang
Prof. Dr. Wei Gong
Dr. Pengyu Chen
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. Symmetry 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

  • symmetry
  • PDEs
  • ODEs
  • dynamical systems
  • numerical analysis
  • materials science
  • nonlinear analysis
  • stochastic analysis

Published Papers (6 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

15 pages, 287 KiB  
Article
Two-Dimensional Quaternion Fourier Transform Method in Probability Modeling
by Nurwahidah Nurwahidah, Mawardi Bahri and Amran Rahim
Symmetry 2024, 16(3), 257; https://doi.org/10.3390/sym16030257 - 20 Feb 2024
Viewed by 708
Abstract
The Fourier transform plays a crucial role in statistics, applied mathematics, and engineering sciences. In this study, we give a definition of the two-dimensional quaternion Fourier transform, which is an extension of the two-dimensional Fourier transform. We present a new convolution theorem including [...] Read more.
The Fourier transform plays a crucial role in statistics, applied mathematics, and engineering sciences. In this study, we give a definition of the two-dimensional quaternion Fourier transform, which is an extension of the two-dimensional Fourier transform. We present a new convolution theorem including this transformation. We study the characteristic function in the setting of quaternion algebra and obtain the essential properties. Based on this, we seek the expected value, variance, covariance, and their basic relations to the two-dimensional quaternion Fourier transform. We illustrate the results by giving examples to see how the obtained results differ from the classical case. Full article
(This article belongs to the Special Issue Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives)
22 pages, 349 KiB  
Article
Actuarial Valuation and Hedging of Life Insurance Liabilities in the Presence of Stochastic Mortality Risk under the Locally Risk-Minimizing Hedging Approach
by Mohamed El Farissi, Mhamed Eddahbi and Ali Goumar
Symmetry 2024, 16(2), 165; https://doi.org/10.3390/sym16020165 - 31 Jan 2024
Viewed by 687
Abstract
The paper examines the valuation and hedging of life insurance obligations in the presence of mortality risk using the local risk-minimizing hedging approach. Roughly speaking, it is assumed that the lifetime of policyholders in an insurance portfolio is modeled by a point process [...] Read more.
The paper examines the valuation and hedging of life insurance obligations in the presence of mortality risk using the local risk-minimizing hedging approach. Roughly speaking, it is assumed that the lifetime of policyholders in an insurance portfolio is modeled by a point process whose stochastic intensity is controlled by a diffusion process. The stock price process is assumed to be a regime-switching Lévy process with non-zero regime-switching drift, where the parameters are assumed to depend on the economic states. Using the Föllmer–Schweizer decomposition, the main valuation and hedging results for a conditional payment process are determined. Some specific situations have been considered in which the local risk-minimizing strategies for a stream of liability payments or a unit-linked contract are presented. Full article
(This article belongs to the Special Issue Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives)
13 pages, 7975 KiB  
Article
Fractional Bernoulli and Euler Numbers and Related Fractional Polynomials—A Symmetry in Number Theory
by Diego Caratelli, Pierpaolo Natalini and Paolo Emilio Ricci
Symmetry 2023, 15(10), 1900; https://doi.org/10.3390/sym15101900 - 10 Oct 2023
Cited by 1 | Viewed by 792
Abstract
Bernoulli and Euler numbers and polynomials are well known and find applications in various areas of mathematics, such as number theory, combinatorial mathematics, series expansions, and the theory of special functions. Using fractional exponential functions, we extend the classical Bernoulli and Euler numbers [...] Read more.
Bernoulli and Euler numbers and polynomials are well known and find applications in various areas of mathematics, such as number theory, combinatorial mathematics, series expansions, and the theory of special functions. Using fractional exponential functions, we extend the classical Bernoulli and Euler numbers and polynomials to introduce their fractional-index-based types. This reveals a symmetry in relation to the classical numbers and polynomials. We demonstrate some examples of these generalized mathematical entities, which we derive using the computer algebra system Mathematica©. Full article
(This article belongs to the Special Issue Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives)
►▼ Show Figures

Figure 1

15 pages, 4440 KiB  
Article
Monetary Datum Fractal Analysis Using the Time Series Theory
by Maria-Alexandra Paun, Vladimir-Alexandru Paun and Viorel-Puiu Paun
Symmetry 2023, 15(10), 1896; https://doi.org/10.3390/sym15101896 - 10 Oct 2023
Viewed by 748
Abstract
The paper will allow the interpretation of exchange rate fluctuations for several international currencies, the EUR—European currency and the CHF—Swiss Franc, respectively. The fractal dimension versus box-counting dimension, together with the fractal dimension versus log scale for CHF and EUR, respectively, are thoroughly [...] Read more.
The paper will allow the interpretation of exchange rate fluctuations for several international currencies, the EUR—European currency and the CHF—Swiss Franc, respectively. The fractal dimension versus box-counting dimension, together with the fractal dimension versus log scale for CHF and EUR, respectively, are thoroughly presented. The exchange rate time series for CHF and EUR during March–June 2022 were also analyzed. The Hurst exponent H was numerically evaluated. By the application of directional symmetry (DS) statistics, the model efficiency in predicting the direction modification of time series has been verified. Ultimately, the prognosis of EUR-RON and CHF-RON exchange rates of the time series fluctuations for the last months (August–December) of the year 2022 was performed. Full article
(This article belongs to the Special Issue Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives)
►▼ Show Figures

Figure 1

17 pages, 321 KiB  
Article
On Symmetric Additive Mappings and Their Applications
by Shakir Ali, Turki Alsuraiheed, Vaishali Varshney and Indah Emilia Wijayanti
Symmetry 2023, 15(10), 1874; https://doi.org/10.3390/sym15101874 - 06 Oct 2023
Viewed by 1298
Abstract
The key motive of this paper is to study symmetric additive mappings and discuss their applications. The study of these symmetric mappings makes it possible to characterize symmetric n-derivations and describe the structure of the quotient ring S/P, where [...] Read more.
The key motive of this paper is to study symmetric additive mappings and discuss their applications. The study of these symmetric mappings makes it possible to characterize symmetric n-derivations and describe the structure of the quotient ring S/P, where S is any ring and P is a prime ideal of S. The symmetricity of additive mappings allows us to transfer ring theory results to functional analyses, particularly to C∗-algebras. Precisely, we describe the structures of C∗-algebras via symmetric additive mappings. Full article
(This article belongs to the Special Issue Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives)
10 pages, 262 KiB  
Article
New Oscillation Theorems for Second-Order Superlinear Neutral Differential Equations with Variable Damping Terms
by Munirah Aldiaiji, Belgees Qaraad, Loredana Florentina Iambor and Elmetwally M. Elabbasy
Symmetry 2023, 15(9), 1630; https://doi.org/10.3390/sym15091630 - 24 Aug 2023
Cited by 3 | Viewed by 540
Abstract
In this paper, we investigate the oscillatory behavior of solutions of second-order differential equations with a superlinear neutral term and a damping term in noncanonical forms. We do not place any additional conditions on the damping term. Therefore, our results apply to new [...] Read more.
In this paper, we investigate the oscillatory behavior of solutions of second-order differential equations with a superlinear neutral term and a damping term in noncanonical forms. We do not place any additional conditions on the damping term. Therefore, our results apply to new classes of equations that were not covered by the previous criteria. According to symmetry between the negative and positive solutions of the studied equation, we present some new criteria that ensure the oscillation of all solutions by using the Riccati transformation and comparison method. We provide an example to illustrate our main results. Full article
(This article belongs to the Special Issue Mathematical Theories, Models and Methods in Applied Sciences: Deterministic, Stochastic and Symmetry Perspectives)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-6

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Asymptotic behavior of solutions to compressible Navier-Stokes system with temperature-dependent heat conductivity in unbounded domain
Authors: Wenhuo Su
Affiliation: Center of Applied Mathematics, Yichun University, Yichun 336000, China

Title: Global existence of cauchy problem to 1D magnetohydrodynamics equations
Authors: Jianxin Zhong
Affiliation: School of Mathematics and Computer Science, Yichun University, Yichun 336000, China

Title: Backward dynamics for non-autonomous stochastic nonclassical diffusion equations with Wong-Zakai type
Authors: Jiali Yu
Affiliation: Dalian Jiaotong Universitydisabled, Dalian, China

Title: Estimation of the number of zeros of a class of hyper-elliptic integrals
Authors: Yangjian Sun
Affiliation: Soochow Universitydisabled, Suzhou, China

Title: Fractal dimension of random attractor for stochastic Magneto-hydrodynamics equations in some unbounded domains
Authors: Dongmei Xu
Affiliation: Shangrao Normal Universitydisabled, Shangrao, China

Title: Backward asymptotically autonomous random dynamics for stochastic g-Navier-Stokes equation
Authors: Fuzhi Li
Affiliation: School of Mathematics & Computer Science, Shangrao Normal University, Shangrao 334001, China

Title: On the Optimal Controllability for A Class of Linear Katugampola Fractional Systems
Authors: Huxiao Liu
Affiliation: School of Mathematics and Computer Science, Guizhou University, China

Title: Wave-breakig and weak solution to a generalied Camassa-Holm equation
Authors: Xiyu Guo
Affiliation: Department of Mathematics, Zunyi Normal University, Zunyi, China

Back to TopTop