Journal of Mathematics最新文献

{"title":"Higher Derivations Satisfying Certain Identities in Rings","authors":"Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney","doi":"10.1155/2024/6550025","DOIUrl":"https://doi.org/10.1155/2024/6550025","url":null,"abstract":"Let <svg height=\"6.1673pt\" style=\"vertical-align:-0.2063904pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.6501 6.1673\" width=\"6.6501pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg> and <svg height=\"6.1673pt\" style=\"vertical-align:-0.2063904pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 10.3951 6.1673\" width=\"10.3951pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg> be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations <span><svg height=\"12.9265pt\" style=\"vertical-align:-3.63817pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 21.221 12.9265\" width=\"21.221pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,13.59,0)\"></path></g></svg><span></span><svg height=\"12.9265pt\" style=\"vertical-align:-3.63817pt\" version=\"1.1\" viewbox=\"24.803183800000003 -9.28833 34.147 12.9265\" width=\"34.147pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,24.853,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,29.351,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,36.501,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,39.557,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,44.055,3.132)\"><use xlink:href=\"#g50-106\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,46.603,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,51.891,3.132)\"></path></g></svg></span> satisfying (i) <span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 36.037 12.7178\" width=\"36.037pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,4.485,0)\"><use xlink:href=\"#g113-101\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,11.635,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,16.81,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,21.308,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,28.575,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,33.073,0)\"></path></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"38.1661838 -9.28833 46.507 12.7178\" width=\"46.507pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,38.216,0)\"><use xlink:href=\"#g113-101\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,45.366,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,53.217,0)\"><use xlink:href=","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"21 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139760768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models","authors":"Jia Li, Xuelian Bai","doi":"10.1155/2024/6638148","DOIUrl":"https://doi.org/10.1155/2024/6638148","url":null,"abstract":"This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention recently. Under the proper condition of the parameter, the existence of a solution is proved by constructing the initial boundary value problem of an ellipse by time discretization and some elliptic equation theory. Under the opposite parameter condition, we analyze the nonexistence of the solution. The results show that the weak solution will blow up in finite time. Finally, we give the blow-up rate and the upper bound of the blow-up time.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"10 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139760775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Solving Large-Scale Unconstrained Optimization Problems with an Efficient Conjugate Gradient Class","authors":"Sanaz Bojari, Mahmoud Paripour","doi":"10.1155/2024/5548724","DOIUrl":"https://doi.org/10.1155/2024/5548724","url":null,"abstract":"The main goal of this paper is to introduce an appropriate conjugate gradient class to solve unconstrained optimization problems. The presented class enjoys the benefits of having three free parameters, its directions are descent, and it can fulfill the Dai–Liao conjugacy condition. Global convergence property of the new class is proved under the weak-Wolfe–Powell line search technique. Numerical efficiency of the proposed class is confirmed in three sets of experiments including 210 test problems and 11 disparate conjugate gradient methods.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"14 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139688569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Congruences Involving Special Sums of Triple Reciprocals","authors":"Zhongyan Shen","doi":"10.1155/2024/8445635","DOIUrl":"https://doi.org/10.1155/2024/8445635","url":null,"abstract":"Define the sums of triple reciprocals <span><svg height=\"15.5493pt\" style=\"vertical-align:-5.86298pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.68632 35.781 15.5493\" width=\"35.781pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,8.996,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,13.494,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,20.02,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,28.15,0)\"></path></g></svg><span></span><svg height=\"15.5493pt\" style=\"vertical-align:-5.86298pt\" version=\"1.1\" viewbox=\"39.363183799999995 -9.68632 54.435 15.5493\" width=\"54.435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,39.413,.007)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,49.2,3.466)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,51.748,3.466)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,57.308,3.466)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,61.222,3.466)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,66.782,3.466)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,71.414,3.466)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,76.974,3.466)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,82.252,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,88.492,0)\"></path></g></svg><span></span><svg height=\"15.5493pt\" style=\"vertical-align:-5.86298pt\" version=\"1.1\" viewbox=\"93.8031838 -9.68632 17.77 15.5493\" width=\"17.77pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,93.853,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,96.358,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,102.119,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,108.659,0)\"></path></g></svg><span></span><svg height=\"15.5493pt\" style=\"vertical-align:-5.86298pt\" version=\"1.1\" viewbox=\"113.75218380000001 -9.68632 6.513 15.5493\" width=\"6.513pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,113.802,0)\"><use xlink:href=\"#g113-106\"></use></g><g transform=\"matrix(.013,0,0,-0.013,117.351,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"15.5493pt\" style=\"vertical-align:-5.86298pt\" version=\"1.1\" viewbox=\"122.4441838 -9.68632 8.464 15.5493\" width=\"8.464pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,122.494,0)\"><use xlink:href=\"#g113-107\"></use></g><g transform=\"matrix(.013,0,0,-0.013,127.994,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"15.5493pt\" style=\"vertical-align:-5.86298pt\" version=\"1.1\" viewbox=\"133.0871838 -9.68632 17.802 15.5493\" width=\"17.802pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,133.137,0)\"","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"37 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139670031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance","authors":"Yanli Ma, Xuewu Zuo","doi":"10.1155/2024/6617911","DOIUrl":"https://doi.org/10.1155/2024/6617911","url":null,"abstract":"It is well known that many natural phenomena and human activities do exhibit impulsive effects in the fields of epidemiology. At the same time, compared with a single control strategy, it is obvious that the multiple control strategies are more beneficial to restrain the spread of infectious diseases. In this paper, we consider pulse vaccination and pulse elimination strategies at the same time and establish an SIRS epidemic model with standard incidence. Firstly, according to the stroboscopic mapping method of the discrete dynamical system, the disease-free <svg height=\"9.01194pt\" style=\"vertical-align:-0.04981995pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.96212 8.41168 9.01194\" width=\"8.41168pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg> periodic solution of the model under the condition of pulse vaccination and pulse elimination is obtained. Secondly, the basic reproductive number <svg height=\"11.927pt\" style=\"vertical-align:-3.291101pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 13.1624 11.927\" width=\"13.1624pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,8.086,3.132)\"></path></g></svg> is defined, and the local asymptotic stability of the disease-free <svg height=\"9.01194pt\" style=\"vertical-align:-0.04981995pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.96212 8.41168 9.01194\" width=\"8.41168pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-85\"></use></g></svg> periodic solution is proved by Floquet theory for <span><svg height=\"11.927pt\" style=\"vertical-align:-3.291101pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 24.295 11.927\" width=\"24.295pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-83\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,8.086,3.132)\"><use xlink:href=\"#g50-49\"></use></g><g transform=\"matrix(.013,0,0,-0.013,16.664,0)\"></path></g></svg><span></span><span><svg height=\"11.927pt\" style=\"vertical-align:-3.291101pt\" version=\"1.1\" viewbox=\"27.8771838 -8.6359 6.422 11.927\" width=\"6.422pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,27.927,0)\"></path></g></svg>.</span></span> Finally, based on the impulsive differential inequality theory, the global asymptotic stability of the disease-free <svg height=\"9.01194pt\" style=\"vertical-align:-0.04981995pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.96212 8.41168 9.01194\" width=\"8.41168pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-85\"></use></g></svg> periodic solution is given for <span><svg height=\"11.927pt\" style=\"vertica","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139657871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Best Fit Bayesian Hierarchical Generalized Linear Model Selection Using Information Complexity Criteria in the MCMC Approach","authors":"Endris Assen Ebrahim, Mehmet Ali Cengiz, Erol Terzi","doi":"10.1155/2024/1459524","DOIUrl":"https://doi.org/10.1155/2024/1459524","url":null,"abstract":"Both frequentist and Bayesian statistics schools have improved statistical tools and model choices for the collected data or measurements. Model selection approaches have advanced due to the difficulty of comparing complicated hierarchical models in which linear predictors vary by grouping variables, and the number of model parameters is not distinct. Many regression model selection criteria are considered, including the maximum likelihood (ML) point estimation of the parameter and the logarithm of the likelihood of the dataset. This paper demonstrates the information complexity (ICOMP), Bayesian deviance information, or the widely applicable information criterion (WAIC) of the BRMS to hierarchical linear models fitted with repeated measures with a simulation and two real data examples. The Fisher information matrix for the Bayesian hierarchical model considering fixed and random parameters under maximizing a posterior estimation is derived. Using Gibbs sampling and Hybrid Hamiltonian Monte Carlo approaches, six different models were fitted for three distinct application datasets. The best-fitted candidate models were identified under each application dataset with the two MCMC approaches. In this case, the Bayesian hierarchical (mixed effect) linear model with random intercepts and random slopes estimated using the Hamiltonian Monte Carlo method best fits the two application datasets. Information complexity (ICOMP) is a better indicator of the best-fitted models than DIC and WAIC. In addition, the information complexity criterion showed that hierarchical models with gradient-based Hamiltonian Monte Carlo estimation are the best fit and have supper convergence relative to the gradient-free Gibbs sampling methods.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"302 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139658126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Horadam Spinors","authors":"Tülay Erişir","doi":"10.1155/2024/6671745","DOIUrl":"https://doi.org/10.1155/2024/6671745","url":null,"abstract":"Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are used. This new sequence defined using spinor representations is called the Horadam spinor sequence; formulas such as the Binet formula, generating function formula, and Cassini formula are given. The Horadam spinors given in this study are a generalization of the spinor representations of Horadam quaternion sequences.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"125 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139587002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 and GTUC","authors":"Shahid Zaman, Asad Ullah, Rabia Naseer, Kavi Bahri Rasool","doi":"10.1155/2024/7521699","DOIUrl":"https://doi.org/10.1155/2024/7521699","url":null,"abstract":"A topological index is a structural descriptor of any molecule/nanostructure that characterizes its topology. In the QSAR and QSPR research, topological indices are employed to predict the physical characteristics associated with bioactivities and chemical reactivity within specific networks. 2D nanostructured materials have many exhibit numerous chemical, mechanical, and physical features. These nanomaterials are exceptionally thin, displaying high chemical functionality and anisotropy. For applications necessitating robust surface interactions on a small scale, 2D materials stand out as the optimal choice due to their expansive surface area and status as the thinnest among all discovered materials. This paper characterized the neighborhood irregular topological invariants of nanostructures <svg height=\"8.98583pt\" style=\"vertical-align:-0.2324905pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.75334 26.432 8.98583\" width=\"26.432pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,8.021,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,17.589,0)\"></path></g></svg>₄<svg height=\"9.01194pt\" style=\"vertical-align:-0.2455397pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.7664 8.77705 9.01194\" width=\"8.77705pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>₈[<i>p</i>, <svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.50656 9.39034\" width=\"6.50656pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-114\"></use></g></svg>] and GTUC[<i>p</i>, <i>q</i>] and derived closed form expressions for them. A comparative analysis is then performed on the basis of these computed indices.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"17 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139587117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A High Accuracy Numerical Method Based on Interpolation Technique for Time-Fractional Advection-Diffusion Equations","authors":"Yan Chen, Xindong Zhang","doi":"10.1155/2024/2740720","DOIUrl":"https://doi.org/10.1155/2024/2740720","url":null,"abstract":"In this paper, the time-fractional advection-diffusion equation (TFADE) is solved by the barycentric Lagrange interpolation collocation method (BLICM). In order to approximate the fractional derivative under the definition of Caputo, BLICM is used to approximate the unknown function. We obtain the discrete scheme of the equation by combining BLICM with the Gauss-Legendre quadrature rule. The convergence rate for the TFADE equation of the BLICM is derived, and the accuracy of the discrete scheme can be improved by modifying the number of Gaussian nodes. To illustrate the efficiency and accuracy of the present method, a few numerical examples are presented and compared with the other existing methods.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"221 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139587000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Reducing Bias in Beta Regression Models Using Jackknifed Liu-Type Estimators: Applications to Chemical Data","authors":"Solmaz Seifollahi, Hossein Bevrani, Olayan Albalawi","doi":"10.1155/2024/6694880","DOIUrl":"https://doi.org/10.1155/2024/6694880","url":null,"abstract":"In the field of chemical data modeling, it is common to encounter response variables that are constrained to the interval (0, 1). In such cases, the beta regression model is often a more suitable choice for modeling. However, like any regression model, collinearity can present a significant challenge. To address this issue, the Liu-type estimator has been used as an alternative to the maximum likelihood estimator, but it suffers from bias. In this paper, we introduce the Jackknifed Liu-type estimator and its modified version, which demonstrate improved bias reduction compared to the original Liu-type estimator. We assess the theoretical and numerical performance of these estimators through Monte Carlo simulations and real-data examples from the field of chemistry. Our findings highlight the significant improvements offered by the proposed estimators in terms of accuracy and reliability.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":"22 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139587113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}