{"title":"Min-min minimization for the fractional ℓ0-regularized problem","authors":"Jun Wang , Qiang Ma , Cheng Zhou","doi":"10.1016/j.amc.2025.129499","DOIUrl":"10.1016/j.amc.2025.129499","url":null,"abstract":"<div><div>In this paper, we present a novel unconstrained fractional <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> regularization (<span>FL0R</span>) model to solve cardinality minimization. Firstly, we construct an interesting <span><math><mi>min</mi><mo></mo><mo>−</mo><mi>min</mi></math></span> minimization from <span>FL0R</span> by introducing a middle variable of sparsity. Then, we prove that the solution to <span><math><mi>min</mi><mo></mo><mo>−</mo><mi>min</mi></math></span> minimization with a given sparsity is one of <span>FL0R</span>. Finally, some numerical examples are presented to illustrate the effectiveness and validity of the new model.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"503 ","pages":"Article 129499"},"PeriodicalIF":3.5,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143899777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A spatio-temporal radial basis function collocation method based on Hausdorff fractal distance for Hausdorff derivative heat conduction equations in three-dimensional anisotropic materials","authors":"Jiayu Wang , Lin Qiu , Yingjie Liang , Fajie Wang","doi":"10.1016/j.amc.2025.129501","DOIUrl":"10.1016/j.amc.2025.129501","url":null,"abstract":"<div><div>In this paper, the spatio-temporal radial basis function (RBF) collocation method based on Hausdorff fractal distance is developed and used to simulate the transient heat transfer problems in anisotropic materials governed by Hausdorff derivative heat conduction equations. We introduce Hausdorff fractal distance into the conventional RBFs, and based on this incorporation, establish a meshless method to address Hausdorff derivative heat conduction problems, in which the anisotropy of the thermal conductivity of the material and spatio-temporal fractal characteristics are taken into account. We set the source points of the collocation method outside the spatial computational domain instead of distributing them within the original domain to further improve the accuracy of the method. Numerical experiments carried out in this study demonstrate the superior performance of the proposed approach compared to the finite element method and traditional RBF collocation method, showing that the developed method can be considered as a competitive tool for simulating Hausdorff derivative transient heat conduction problems in complex geometries.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129501"},"PeriodicalIF":3.5,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143894403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuxiao Lian , Baoyong Zhang , Deming Yuan , Yao Yao , Bo Song
{"title":"Prescribed-time distributed resource allocation algorithm for heterogeneous linear multi-agent networks with unbalanced directed communication","authors":"Yuxiao Lian , Baoyong Zhang , Deming Yuan , Yao Yao , Bo Song","doi":"10.1016/j.amc.2025.129498","DOIUrl":"10.1016/j.amc.2025.129498","url":null,"abstract":"<div><div>In this paper, a prescribed-time distributed algorithm is proposed to solve the resource allocation problem among the heterogeneous linear multi-agent systems over unbalanced directed networks. First, an estimator with prescribed-time convergence performance is designed to cope with the asymmetry of the unbalanced network topology. Then, a novel prescribed-time convergence result that features an adjustable convergence rate is developed. Based on this result, it is shown that the algorithm developed in this paper ensures the agents' outputs accurately reach the optimal solution within a prescribed-time and they are maintained at the optimum thereafter. Furthermore, a parameter selection rule is formulated to reflect the low conservatism of the algorithm. This indicates that the parameters affecting the convergence speed of the algorithm are not necessary to rely on the global information. Finally, the performance of the proposed algorithm is illustrated through simulations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"503 ","pages":"Article 129498"},"PeriodicalIF":3.5,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143895684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Synchronization of complex networks with multiple disturbances via aperiodically intermittent control input","authors":"Yong Wei , Mouquan Shen , Zheng H. Zhu , Xianji Meng","doi":"10.1016/j.amc.2025.129495","DOIUrl":"10.1016/j.amc.2025.129495","url":null,"abstract":"<div><div>This paper considers anti-disturbance aperiodically intermittent control of complex dynamical networks with unmatched and matched disturbances. The unmatched ones are suppressed by the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> method and the matched ones are compensated via distributed disturbance observers. An event-dependent intermittent strategy is built in terms of an auxiliary function with a square root form and three segmented regions. A composite controller is proposed in terms of output-feedback and the estimated matched disturbances. Moreover, a sufficient criterion is obtained for the synchronization of complex network systems with the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance index <em>γ</em> through Lyapunov stability theory and linear congruence transformation. Finally, the viability of the proposed approach is verified through two numerical simulations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129495"},"PeriodicalIF":3.5,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Choosability with union separation of planar graphs without intersecting triangles","authors":"Xinhong Pang, Min Chen","doi":"10.1016/j.amc.2025.129493","DOIUrl":"10.1016/j.amc.2025.129493","url":null,"abstract":"<div><div>Let <em>G</em> be a graph, and let <span><math><mi>k</mi><mo>,</mo><mi>s</mi></math></span> be two positive integers. A <em>k</em>-list assignment of <em>G</em> is called a <span><math><mo>(</mo><mi>k</mi><mo>,</mo><mi>k</mi><mo>+</mo><mi>s</mi><mo>)</mo></math></span>-list assignment if, for any two adjacent vertices <em>u</em> and <em>v</em>, <span><math><mo>|</mo><mi>L</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo>∪</mo><mi>L</mi><mo>(</mo><mi>v</mi><mo>)</mo><mo>|</mo><mo>≥</mo><mi>k</mi><mo>+</mo><mi>s</mi></math></span>. A graph <em>G</em> is said to be <span><math><mo>(</mo><mi>k</mi><mo>,</mo><mi>k</mi><mo>+</mo><mi>s</mi><mo>)</mo></math></span>-choosable if, for every given <span><math><mo>(</mo><mi>k</mi><mo>,</mo><mi>k</mi><mo>+</mo><mi>s</mi><mo>)</mo></math></span>-list assignment, it always admits a proper coloring <em>π</em> such that <span><math><mi>π</mi><mo>(</mo><mi>v</mi><mo>)</mo><mo>∈</mo><mi>L</mi><mo>(</mo><mi>v</mi><mo>)</mo></math></span> for every <span><math><mi>v</mi><mo>∈</mo><mi>V</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span>. In this paper, we demonstrate that every planar graph without intersecting triangles is <span><math><mo>(</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></span>-choosable. This strengthens a result which asserts that every triangle-free planar graph is <span><math><mo>(</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></span>-choosable.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129493"},"PeriodicalIF":3.5,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ling Tao , Zhongpan Li , Hong Wen , Simiao Yu , Zhiqiang Feng
{"title":"Analysis of multiple contact types within the framework of semi-finite element method","authors":"Ling Tao , Zhongpan Li , Hong Wen , Simiao Yu , Zhiqiang Feng","doi":"10.1016/j.amc.2025.129494","DOIUrl":"10.1016/j.amc.2025.129494","url":null,"abstract":"<div><div>Dynamic contact problems are common in engineering systems. Current dynamic contact simulations are prone to energy non-conservation and over-reliance on nodes accuracy. To address the above difficulties, a numerical algorithm based on the bipotential theory for solving the dynamic contact problems of multibody systems is proposed. Within the framework of semi-finite element method, the Uzawa iteration is embedded in Newton iteration to solve the nonlinear equation. By constructing the adaptive virtual points on the contact surface, the bipotential theory is introduced to compute the local dynamic contact force. In this work, both the interactive contact interface and the coupling contact interface are considered, and the numerical examples are extended from two-dimension line-to-line contact to three-dimension surface-to-surface contact. In addition, the influence of coupling components on the deformation and motion of each subsystem is also revealed. The numerical results show that the proposed algorithm is effective and stable, satisfies the law of energy conservation strictly and reduces the over-dependence on the nodes accuracy. This work can provide a reference for further research on balancing computation efficiency and accuracy.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129494"},"PeriodicalIF":3.5,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Convergence rate of nonlinear delayed neutral McKean-Vlasov SDEs driven by fractional Brownian motions","authors":"Shengrong Wang , Jie Xie , Li Tan","doi":"10.1016/j.amc.2025.129478","DOIUrl":"10.1016/j.amc.2025.129478","url":null,"abstract":"<div><div>The primary objective of this paper is to explore the strong convergence for a neutral McKean-Vlasov stochastic differential equation with super-linear delay driven by fractional Brownian motion with Hurst exponent <span><math><mi>H</mi><mo>∈</mo><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span>. After giving uniqueness and existence for the exact solution, we analyze the properties including boundedness of moment and propagation of chaos. Besides, we give the Euler-Maruyama (EM) scheme and show that the numerical solution convergent to the true solution strongly. Furthermore, a related example is given to illustrate the theory.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129478"},"PeriodicalIF":3.5,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143873906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Time variable gain ESO-based fixed-time platoon tracking control for connected vehicles","authors":"Linlin Liu , Liang Cao , Hongru Ren , Meng Zhao","doi":"10.1016/j.amc.2025.129477","DOIUrl":"10.1016/j.amc.2025.129477","url":null,"abstract":"<div><div>Autonomous vehicles with information exchange and precision control on the road usually form platoon with smaller gaps between vehicles to increase the road traffic volume and reduce the fossil energy consumption. This paper focuses on uncertain vehicle platoon systems (VPSs) with disturbances and designs a distributed fixed-time disturbance rejection platoon tracking control strategy based on time variable gain extended state observer (TVGESO) and fixed-time stability theory. Firstly, a TVGESO is designed to achieve the estimation of external disturbances, which not only has a stricter stability analysis process of observation error convergence compared to nonlinear extended state observer, but also weakens the phenomenon of “initial differential peak” in traditional linear extended state observer methods. Subsequently, using the estimation of TVGESO and the fixed-time stability theory, a fixed-time control method is derived in the backstepping framework, and stability analysis shows that the control method achieves the system stability in bounded time independently of the initial conditions. Finally, the control strategy is applied to the VPSs, and the simulation and results verify that the control strategy can improve the transient and steady-state tracking control performance.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129477"},"PeriodicalIF":3.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. Bazeia , M.J.B. Ferreira , B.F. de Oliveira , W.A. dos Santos
{"title":"Monitoring biodiversity on highly reactive rock-paper-scissors models","authors":"D. Bazeia , M.J.B. Ferreira , B.F. de Oliveira , W.A. dos Santos","doi":"10.1016/j.amc.2025.129474","DOIUrl":"10.1016/j.amc.2025.129474","url":null,"abstract":"<div><div>This work investigates how biodiversity is affected in a cyclic spatial May-Leonard model with hierarchical and non-hierarchical rules. Here we propose a generalization of the traditional rock-paper-scissors model by considering highly reactive species, i.e., species that react in a stronger manner compared to the others in respect to either competition or reproduction. These two classes of models, called here Highly Competitive and Highly Reproductive models, may lead to hierarchical and non-hierarchical dynamics, depending on the number of highly reactive species. The fundamental feature of these models is the fact that hierarchical models may as well support biodiversity, however, with a higher probability of extinction than the non-hierarchical ones, which are in fact more robust. This analysis is done by evaluating the probability of extinction as a function of mobility. In particular, we have analyzed how the dominance scheme changes depending on the highly reactive species for non-hierarchical models, where the findings lead to the conclusion that highly reactive species are usually at a disadvantage compared to the others. Moreover, we have investigated the power spectrum and the characteristic length of each species, including more information on the behavior of the several systems considered in the present work.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"502 ","pages":"Article 129474"},"PeriodicalIF":3.5,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Anna Nowak , Dominika Kustal , HongGuang Sun , Tomasz Blaszczyk
{"title":"Neural network approximation of the composition of fractional operators and its application to the fractional Euler-Bernoulli beam equation","authors":"Anna Nowak , Dominika Kustal , HongGuang Sun , Tomasz Blaszczyk","doi":"10.1016/j.amc.2025.129475","DOIUrl":"10.1016/j.amc.2025.129475","url":null,"abstract":"<div><div>In this paper, we propose a new approach to approximation of the left and the right fractional Riemann - Liouville integrals as well as the compositions of these two operators, based on a shallow neural network with <span><math><mi>R</mi><mi>e</mi><mi>L</mi><mi>U</mi></math></span> as an activation function. We apply the proposed method to the fractional Euler - Bernoulli beam equation with fixed-supported and fixed-free ends, and we provide numerical simulations for constant, power and trigonometric functions. Finally, we compare the obtained results with the exact solutions of the considered problems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"501 ","pages":"Article 129475"},"PeriodicalIF":3.5,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143854497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}