AIMS Mathematics最新文献_第4页

On generalization of Petryshyn's fixed point theorem and its application to the product of $ n $-nonlinear integral equations Petryshyn不动点定理的推广及其在n -非线性积分方程积中的应用

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231562

Ateq Alsaadi, Manochehr Kazemi, Mohamed M. A. Metwali

引用次数: 0

Analyzing a SEIR-Type mathematical model of SARS-COVID-19 using piecewise fractional order operators 基于分段分数阶算子的SARS-COVID-19 seir型数学模型分析

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231382

Nadiyah Hussain Alharthi, Mdi Begum Jeelani

{"title":"Analyzing a SEIR-Type mathematical model of SARS-COVID-19 using piecewise fractional order operators","authors":"Nadiyah Hussain Alharthi, Mdi Begum Jeelani","doi":"10.3934/math.20231382","DOIUrl":"https://doi.org/10.3934/math.20231382","url":null,"abstract":"<abstract>Recently, the area devoted to mathematical epidemiology has attracted much attention. Mathematical formulations have served as models for various infectious diseases. In this regard, mathematical models have also been used to study COVID-19, a threatening disease in present time. This research work is devoted to consider a SEIR (susceptible-exposed-infectious-removed) type mathematical model for investigating COVID-19 alongside a new scenario of fractional calculus. We consider piece-wise fractional order derivatives to investigate the proposed model for qualitative and computational analysis. The results related to the qualitative analysis are studied via using the tools of fixed point approach. In addition, the computational analysis is performed due to a significance of simulation to understand the transmission dynamics of COVID-19 infection in the community. In addition, a numerical scheme based on Newton's polynomials is established to simulate the approximate solutions of the proposed model by using various fractional orders. Additionally, some real data results are also shown in comparison to the numerical results.</abstract>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135653429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mathematical modeling for the development of traffic based on the theory of system dynamics 基于系统动力学理论的交通发展数学建模

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231413

Juan Manuel Sánchez, Adrián Valverde, Juan L. G. Guirao, Huatao Chen

引用次数: 0

Double sequences with ideal convergence in fuzzy metric spaces 模糊度量空间中具有理想收敛性的二重序列

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231437

Aykut Or

引用次数: 0

Adaptive predefined-time robust control for nonlinear time-delay systems with different power Hamiltonian functions 具有不同幂哈密顿函数的非线性时滞系统的自适应预定义时间鲁棒控制

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231441

Shutong Liu, Renming Yang

引用次数: 0

An estimate for the numerical radius of the Hilbert space operators and a numerical radius inequality 希尔伯特空间算子的数值半径估计和数值半径不等式

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231347

Mohammad H. M. Rashid, Feras Bani-Ahmad

{"title":"An estimate for the numerical radius of the Hilbert space operators and a numerical radius inequality","authors":"Mohammad H. M. Rashid, Feras Bani-Ahmad","doi":"10.3934/math.20231347","DOIUrl":"https://doi.org/10.3934/math.20231347","url":null,"abstract":"<abstract>We provide a number of sharp inequalities involving the usual operator norms of Hilbert space operators and powers of the numerical radii. Based on the traditional convexity inequalities for nonnegative real numbers and some generalize earlier numerical radius inequalities, operator. Precisely, we prove that if $ {bf A}_i, {bf B}_i, {bf X}_iin mathcal{B}(mathcal{H}) $ ($ i = 1, 2, cdots, n $), $ min mathbb N $, $ p, q &gt; 1 $ with $ frac{1}{p}+frac{1}{q} = 1 $ and $ phi $ and $ psi $ are non-negative functions on $ [0, infty) $ which are continuous such that $ phi(t)psi(t) = t $ for all $ t in [0, infty) $, then <disp-formula> <label/> <tex-math id=\"FE1\"> begin{document}$ begin{equation*} w^{2r}left({sumlimits_{i = 1}^{n} {bf X}_i {bf A}_i^m {bf B}_i}right)leq frac{n^{2r-1}}{m}sumlimits_{j = 1}^{m}leftVert{sumlimits_{i = 1}^{n}frac{1}{p}S_{i, j}^{pr}+frac{1}{q}T_{i, j}^{qr}}rightVert-r_0inflimits_{leftVert{xi}rightVert = 1}rho(xi), end{equation*} $end{document} </tex-math></disp-formula> where $ r_0 = min{frac{1}{p}, frac{1}{q}} $, $ S_{i, j} = {bf X}_iphi^2left({leftvert{ {bf A}_i^{j*}}rightvert}right) {bf X}_i^* $, $ T_{i, j} = left({ {bf A}_i^{m-j} {bf B}_i}right)^*psi^2left({leftvert{ {bf A}_i^j}rightvert}right) {bf A}_i^{m-j} {bf B}_i $ and <disp-formula> <label/> <tex-math id=\"FE2\"> begin{document}$ rho(xi) = frac{n^{2r-1}}{m}sumlimits_{j = 1}^{m}sumlimits_{i = 1}^{n}left({left&lt;{S_{i, j}^rxi, xi}right&gt;^{frac{p}{2}}-left&lt;{T_{i, j}^rxi, xi}right&gt;^{frac{q}{2}}}right)^2. $end{document} </tex-math></disp-formula> </abstract>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135496215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Symmetric $ n $-derivations on prime ideals with applications 素数理想上的对称n -导数及其应用

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231410

Shakir Ali, Amal S. Alali, Sharifah K. Said Husain, Vaishali Varshney

引用次数: 1

A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system 基于噪声弹性归零神经网络的四元数Sylvester方程求解器在SFM混沌系统控制中的应用

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231401

Sondess B. Aoun, Nabil Derbel, Houssem Jerbi, Theodore E. Simos, Spyridon D. Mourtas, Vasilios N. Katsikis

引用次数: 0

Global existence and energy decay for a transmission problem under a boundary fractional derivative type 一类边界分数阶导数型传输问题的整体存在性和能量衰减

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231412

Noureddine Bahri, Abderrahmane Beniani, Abdelkader Braik, Svetlin G. Georgiev, Zayd Hajjej, Khaled Zennir

引用次数: 1

Lagrange radial basis function collocation method for boundary value problems in $ 1 $D 边值问题的拉格朗日径向基函数配置方法

3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231409

Kawther Al Arfaj, Jeremy Levesly

{"title":"Lagrange radial basis function collocation method for boundary value problems in $ 1 $D","authors":"Kawther Al Arfaj, Jeremy Levesly","doi":"10.3934/math.20231409","DOIUrl":"https://doi.org/10.3934/math.20231409","url":null,"abstract":"<abstract>This paper introduces the Lagrange collocation method with radial basis functions (LRBF) as a novel approach to solving 1D partial differential equations. Our method addresses the trade-off principle, which is a key challenge in standard RBF collocation methods, by maintaining the accuracy and convergence of the numerical solution, while improving the stability and efficiency. We prove the existence and uniqueness of the numerical solution for specific differential operators, such as the Laplacian operator, and for positive definite RBFs. Additionally, we introduce a perturbation into the main matrix, thereby developing the perturbed LRBF method (PLRBF); this allows for the application of Cholesky decomposition, which significantly reduces the condition number of the matrix to its square root, resulting in the CPLRBF method. In return, this enables us to choose a large value for the shape parameter without compromising stability and accuracy, provided that the perturbation is carefully selected. By doing so, highly accurate solutions can be achieved at an early level, significantly reducing central processing unit (CPU) time. Furthermore, to overcome stagnation issues in the RBF collocation method, we combine LRBF and CPLRBF with multilevel techniques and obtain the Multilevel PLRBF (MuCPLRBF) technique. We illustrate the stability, accuracy, convergence, and efficiency of the presented methods in numerical experiments with a 1D Poisson equation. Although our approach is presented for 1D, we expect to be able to extend it to higher dimensions in future work.</abstract>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135801093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0