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Journal of Nonlinear Mathematical Physics最新文献

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On the Solution of Caputo Fractional High-Order Three-Point Boundary Value Problem with Applications to Optimal Control 论卡普托分式高阶三点边界值问题的解法及其在最优控制中的应用
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2024-01-29 DOI: 10.1007/s44198-023-00164-y
Elyas Shivanian
{"title":"On the Solution of Caputo Fractional High-Order Three-Point Boundary Value Problem with Applications to Optimal Control","authors":"Elyas Shivanian","doi":"10.1007/s44198-023-00164-y","DOIUrl":"https://doi.org/10.1007/s44198-023-00164-y","url":null,"abstract":"<p>This research paper establishes the existence and uniqueness of solutions for a non-integer high-order boundary value problem, incorporating the Caputo fractional derivative with a non-local type boundary condition. The analytical approach involves the introduction of the fractional Green’s function. To analyze our findings effectively, we apply the Banach contraction fixed point theorem as the primary principle. Furthermore, we illustrate our results through the presentation of various examples.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"395 2 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139586106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of Positive Weak Solutions for a Class of Fractional Laplacian Elliptic Systems of Type Kirchhoff 一类基尔霍夫型分数拉普拉斯椭圆系统的正弱解分析
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2024-01-24 DOI: 10.1007/s44198-024-00165-5
Rafik Guefaifia, Ali Allahem, Rashid Jan, Salah Boulaaras, Mohamed Biomy
{"title":"Analysis of Positive Weak Solutions for a Class of Fractional Laplacian Elliptic Systems of Type Kirchhoff","authors":"Rafik Guefaifia, Ali Allahem, Rashid Jan, Salah Boulaaras, Mohamed Biomy","doi":"10.1007/s44198-024-00165-5","DOIUrl":"https://doi.org/10.1007/s44198-024-00165-5","url":null,"abstract":"<p>In this research work, a sub-supersolution approach is utilized to investigate the existence and nonexistence of weak positive solution for a class of fractional Laplacian Kirchhoff type elliptic systems in bounded domains with one parameter.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"4 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139552260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fast Processing of Bending Deflection for Euler–Bernoulli Beam Under Different Boundary Constraints Based on a Semi-Analytical Null Space Method 基于半解析零空间法快速处理不同边界约束条件下欧拉-伯努利梁的弯曲挠度
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-13 DOI: 10.1007/s44198-023-00155-z
W. J. Luo, T. Y. Liu, T. J. Chai, J. W. Yan, W. J. Guo
{"title":"Fast Processing of Bending Deflection for Euler–Bernoulli Beam Under Different Boundary Constraints Based on a Semi-Analytical Null Space Method","authors":"W. J. Luo, T. Y. Liu, T. J. Chai, J. W. Yan, W. J. Guo","doi":"10.1007/s44198-023-00155-z","DOIUrl":"https://doi.org/10.1007/s44198-023-00155-z","url":null,"abstract":"","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"27 6","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139003977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Stable Time-Dependent Mesh Method for Generalized Credit Rating Migration Problem 广义信用评级迁移问题的稳定时间网格法
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-13 DOI: 10.1007/s44198-023-00157-x
Saad Sultan, Zhengce Zhang
{"title":"A Stable Time-Dependent Mesh Method for Generalized Credit Rating Migration Problem","authors":"Saad Sultan, Zhengce Zhang","doi":"10.1007/s44198-023-00157-x","DOIUrl":"https://doi.org/10.1007/s44198-023-00157-x","url":null,"abstract":"<p>The r-adaptive difference scheme is advanced in this article for solving the generalized credit rating migration model for arbitrary volatility with multiple terminal conditions. The r-adaptive moving mesh method defines the coordinate mapping from the physical to the computational domain and then uses piece-wise polynomials to approximate the physical coordinates. The central implicit semi-discretization scheme is imposed on space, and the backward Euler time marching scheme, coupled with several moving mesh partial differential equations, is used to achieve the numerical solution. The numerical operations are performed with several examples, and the obtained results are sufficiently accurate. The convergence of the proposed scheme is second-order, which is verified with the analysis. The article also investigates the stability and convergence of the adaptive mesh discretization scheme, which are not available in the literature; the convergence of the scheme is second-order in space and first-order in time.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"61 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138629299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Control of Non-linear Volterra Integral Equations with Weakly Singular Kernels Based on Genocchi Polynomials and Collocation Method 基于 Genocchi 多项式和 Collocation 方法的具有弱奇异内核的非线性 Volterra 积分方程的优化控制
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-11 DOI: 10.1007/s44198-023-00156-y
Asiyeh Ebrahimzadeh, Elham Hashemizadeh
{"title":"Optimal Control of Non-linear Volterra Integral Equations with Weakly Singular Kernels Based on Genocchi Polynomials and Collocation Method","authors":"Asiyeh Ebrahimzadeh, Elham Hashemizadeh","doi":"10.1007/s44198-023-00156-y","DOIUrl":"https://doi.org/10.1007/s44198-023-00156-y","url":null,"abstract":"<p>We consider a problem of finding the best way to control a system, known as an optimal control problem (OCP), governed by non-linear Volterra Integral Equations with Weakly Singular kernels. The equations are based on Genocchi polynomials. Depending on the applicable properties of Genocchi polynomials, the considered OCP is converted to a non-linear programming problem (NLP). This method is speedy and provides a highly accurate solution with great precision using a small number of basis functions. The convergence analysis of the approach is also provided. The accuracy and flawless performance of the proposed technique and verification of the theory are examined with some examples.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"56 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138567032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher-order soliton solutions for the Sasa–Satsuma equation revisited via $$bar{partial }$$ method 通过$bar{partial }$$方法重访萨萨-萨摩方程的高阶孤子解
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-07 DOI: 10.1007/s44198-023-00160-2
YongHui Kuang, Bolin Mao, Xin Wang
{"title":"Higher-order soliton solutions for the Sasa–Satsuma equation revisited via $$bar{partial }$$ method","authors":"YongHui Kuang, Bolin Mao, Xin Wang","doi":"10.1007/s44198-023-00160-2","DOIUrl":"https://doi.org/10.1007/s44198-023-00160-2","url":null,"abstract":"<p>In optics, the Sasa–Satsuma equation can be used to model ultrashort optical pulses. In this paper higher-order soliton solutions for the Sasa–Satsuma equation with zero boundary condition at infinity are analyzed by <span>(bar{partial })</span> method. The explicit determinant form of a soliton solution which corresponds to a single <span>(p_{l})</span>-th order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"145 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138548156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse Scattering Problem for the High Order Schrödinger Operator at Fixed Angles Scattering Amplitude 固定角度散射振幅下的高阶薛定谔算子反向散射问题
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-05 DOI: 10.1007/s44198-023-00158-w
Hua Huang, Huizhen Li, Zhigang Zhou
{"title":"Inverse Scattering Problem for the High Order Schrödinger Operator at Fixed Angles Scattering Amplitude","authors":"Hua Huang, Huizhen Li, Zhigang Zhou","doi":"10.1007/s44198-023-00158-w","DOIUrl":"https://doi.org/10.1007/s44198-023-00158-w","url":null,"abstract":"<p>We consider the inverse scattering problem for the higher order Schrödinger operator <span>(H=(-Delta )^m+q(x))</span>, <span>(m=1,2, 3,ldots)</span>. We show that the scattering amplitude of <i>H</i> at fixed angles can uniquely determines the potential <i>q</i>(<i>x</i>) under certain assumptions, which extends the early results on this problem. The uniqueness of <i>q</i>(<i>x</i>) mainly depends on the construction of the Born approximation sequence and its estimation.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"105 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138560589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An RBF-FD Method for Numerical Solutions of 2D Diffusion-Wave and Diffusion Equations of Distributed Fractional Order 分布分数阶二维扩散波和扩散方程数值解的RBF-FD方法
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-12-04 DOI: 10.1007/s44198-023-00153-1
Fatemeh Taghipour, Ahmad Shirzadi, Mansour Safarpoor
{"title":"An RBF-FD Method for Numerical Solutions of 2D Diffusion-Wave and Diffusion Equations of Distributed Fractional Order","authors":"Fatemeh Taghipour, Ahmad Shirzadi, Mansour Safarpoor","doi":"10.1007/s44198-023-00153-1","DOIUrl":"https://doi.org/10.1007/s44198-023-00153-1","url":null,"abstract":"<p>The subject of this paper is to propose a numerical algorithm for solving 2D diffusion and diffusion-wave equations of distributed order fractional derivatives. Such equations arise in modelling complex systems and have many important applications. Existence of integral term over the order of fractional derivative causes the high complexity of these equations and so their numerical solutions needs special cares. Using Gauss quadrature approach for discretizing the integral term of fractional derivative converts the distributed equation into a multi-term fractional differential equation. Then, the time variable is discretized with a suitable finite difference approach. The resultant semi-discretized equations are fully discretized by a radial basis function-generated finite difference based method. Convergence of the method are studied numerically. Various kind of test problems are considered for a comprehensive numerical study and the results confirm the efficiency of the method.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"333 ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamical Analysis of a 3D Fractional-Order Chaotic System for High-Security Communication and its Electronic Circuit Implementation 一种用于高安全性通信的三维分数阶混沌系统的动力学分析及其电子电路实现
IF 0.7 4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-11-20 DOI: 10.1007/s44198-023-00154-0
Girma Adam Beyene, Fahdil Rahma , Karthikeyan Rajagopal, Abdul-Basset A. Al-Hussein, Salah Boulaaras
{"title":"Dynamical Analysis of a 3D Fractional-Order Chaotic System for High-Security Communication and its Electronic Circuit Implementation","authors":"Girma Adam Beyene, Fahdil Rahma , Karthikeyan Rajagopal, Abdul-Basset A. Al-Hussein, Salah Boulaaras","doi":"10.1007/s44198-023-00154-0","DOIUrl":"https://doi.org/10.1007/s44198-023-00154-0","url":null,"abstract":"<p>This article, a 3D fractional-order chaotic system (FOCS) is designed; system holds Equilibria can take on various shapes and forms by introducing a nonlinear function and the value of its parameters. To comprehend the system’s behavior under diverse conditions and parameter values, a dynamical analysis is conducted through analytical and numerical means. This analysis employs techniques like phase portraits, Lyapunov exponents (LEs), bifurcation analysis, and Lyapunov spectra. The system demonstrates attractors that are more intricate compared to a regular chaotic system with an integer value, specifically if we set the fractional order q to 0.97. This characteristic makes it highly appropriate for developing secure communication systems. Moreover, a practical implementation has been developed using an electronic circuit to showcase its feasibility of the system. A secure communication system was built using two levels of encryption techniques. The propose sound encryption algorithm is verified through tests like histogram, correlation, and spectrogram investigation. The encryption correlation coefficient between the original signal and the encrypted one is 0.0010, this result shows a strong defences against pirate attacks.</p>","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"341 ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes 齐次Gödel-Type时空上的Ricci双共形向量场
4区 物理与天体物理
Journal of Nonlinear Mathematical Physics Pub Date : 2023-11-13 DOI: 10.1007/s44198-023-00151-3
Shahroud Azami, Mehdi Jafari
{"title":"Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes","authors":"Shahroud Azami, Mehdi Jafari","doi":"10.1007/s44198-023-00151-3","DOIUrl":"https://doi.org/10.1007/s44198-023-00151-3","url":null,"abstract":"Abstract In this paper, we consider the homogeneous Gödel-type spacetimes and we completely classify the Ricci bi-conformal vector fields on these spaces. Also, we show that all Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes are Killing vector fields and Ricci collineation vector fields.","PeriodicalId":48904,"journal":{"name":"Journal of Nonlinear Mathematical Physics","volume":"44 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136282502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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