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Advances in Dynamical Systems and Applications最新文献

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A Comparison of Survivor Rate Estimates for Some Probability Distribution Models Using Least-Squares Method in Conjunction with Simplex and Quasi-Newton Optimization Methods 用最小二乘法与单纯形和拟牛顿优化方法对几种概率分布模型的存活率估计进行比较
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.5-15
K. Khan
{"title":"A Comparison of Survivor Rate Estimates for Some Probability Distribution Models Using Least-Squares Method in Conjunction with Simplex and Quasi-Newton Optimization Methods","authors":"K. Khan","doi":"10.37622/adsa/16.1.2021.5-15","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.5-15","url":null,"abstract":"In this paper, we find survival rate estimates, parameter estimates, variance covariance for some probability distribution models like, Exponential, Inverse Gaussian, Gompertz, Gumbels and Weibull distributions using least-squares estimation method. We found these estimates for the case when partial derivatives were not available and for the case when partial derivatives were available. The first case when partial derivatives were not available, we used the simplex optimization (Nelder and Meads ([6],[7]) and Hooke and Jeeves ([4],[5])) methods and the case when first partial derivatives were available we applied the Quasi – Newton optimization (Davidon-Fletcher-Powel (DFP) and the Broyden-Fletcher-Goldfarb-Shanno (BFGS) methods. The medical data sets of 21 Leukemia cancer patients with time span of 35 weeks ([3]) were used.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"130 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87674762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ulam-type Stability for a Boundary Value Problem of Implicit Fractional-orders Differential Equation 隐式分数阶微分方程边值问题的ulam型稳定性
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.75-89
A. El-Sayed, Sahar Y. Issa, M. Elmiari
{"title":"Ulam-type Stability for a Boundary Value Problem of Implicit Fractional-orders Differential Equation","authors":"A. El-Sayed, Sahar Y. Issa, M. Elmiari","doi":"10.37622/adsa/16.1.2021.75-89","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.75-89","url":null,"abstract":"","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"51 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86624360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An algorithm determining the optimal length of the queue of requests for data transmission over the channels of a wireless ad-hoc network 一种确定在无线自组织网络的信道上传输数据的请求队列的最佳长度的算法
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.201-215
Polshchykov K. A., Lazarev S. A., K. O. R., V. G. S.
{"title":"An algorithm determining the optimal length of the queue of requests for data transmission over the channels of a wireless ad-hoc network","authors":"Polshchykov K. A., Lazarev S. A., K. O. R., V. G. S.","doi":"10.37622/adsa/16.1.2021.201-215","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.201-215","url":null,"abstract":"","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83557270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Review of the Reliability Analysis of the Complex Industrial Systems 复杂工业系统可靠性分析综述
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.257-297
Nabila Al Balushi
{"title":"A Review of the Reliability Analysis of the Complex Industrial Systems","authors":"Nabila Al Balushi","doi":"10.37622/adsa/16.1.2021.257-297","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.257-297","url":null,"abstract":"This paper is a review of the literature related to reliability analysis of complex industrial systems. Many industrial systems have been analysed over the last 3 decades under different operational conditions and assumptions. Mostly, the systems were analysed for estimating the reliability indices such as mean time to systems failure, availability analysis, failure frequency, mean down time, expected busy periods of the repairmen, and their respective cost-benefit analysis. The main objective all over these years was to focus on the system performance over a long period of time; it’s basically case studies on system performance of industrial system. An attempt has been made in this paper to collect the sufficient literature and recommend some useful tips to diversify the discipline for more fruitful results on the system performance.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"9 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83464973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On A Coupled System of Hybrid Fractional-order Differential Equations in Banach Algebras Banach代数中混合分数阶微分方程的耦合系统
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.91-112
A. El-Sayed, Sahar Y. Issa, N. M. Mawed
{"title":"On A Coupled System of Hybrid Fractional-order Differential Equations in Banach Algebras","authors":"A. El-Sayed, Sahar Y. Issa, N. M. Mawed","doi":"10.37622/adsa/16.1.2021.91-112","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.91-112","url":null,"abstract":"In this paper, we discuss sufficient conditions for the existence of solutions for a coupled system of hybrid fractional-order differential equation. The continuous dependence of the unique solution on the delay functions will be studied.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76738542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Necessary and Sufficient Conditions for the Existence of aWeak Solution to the Maxwell-Stokes Type Equation Maxwell-Stokes型方程弱解存在的充分必要条件
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.133-157
J. Aramaki
{"title":"Necessary and Sufficient Conditions for the Existence of aWeak Solution to the Maxwell-Stokes Type Equation","authors":"J. Aramaki","doi":"10.37622/adsa/16.1.2021.133-157","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.133-157","url":null,"abstract":"In this paper, we derive necessary and sufficient conditions for the existence of a weak solution to the Maxwell-Stokes type equation associated with slip-Navier boundary condition. Our equation is nonlinear and contains, so called, p-curlcurl system. Moreover, we give a result on the continuous dependence of the weak solution on the data. 2010 Mathematics Subject Classification: 35A05, 35H30, 35A15, 35D05","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"71 1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82287507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the dynamics of the singularly perturbed Riccati differential equation with two different delays 具有两种不同时滞的奇异摄动Riccati微分方程的动力学
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.355-368
A. El-Sayed, S. Salman, S. Ramadan
{"title":"On the dynamics of the singularly perturbed Riccati differential equation with two different delays","authors":"A. El-Sayed, S. Salman, S. Ramadan","doi":"10.37622/adsa/16.1.2021.355-368","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.355-368","url":null,"abstract":"In this paper, we consider the singularly perturbation of the Riccati difference equation with two different delays. At first, we study the local stability of the fixed points and its corresponding characteristic equation of the linearized system. At second, we show that there is Hopf bifurcation with restricted condition for occurrence. Then we get out the discretized system by applying the method of steps. Local stability and bifurcation analysis of the discretized system. We compare the results with the results of the Riccati differential equation with two different delays. Finally, numerical simulations including bifurcation diagram, Lyapunov exponent and phase portraits are carried out to confirm the analytical findings .","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"286 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80277443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
New Exact Solution of The (4+1)-Dimensional Fractional Boiti-Leon-Manna-Pempinelli Equation by The Expansion Method (4+1)维分数阶Boiti-Leon-Manna-Pempinelli方程的新精确解
Advances in Dynamical Systems and Applications Pub Date : 2021-06-30 DOI: 10.37622/adsa/16.1.2021.237-255
M. Torvattanabun, Theeranon Thawila
{"title":"New Exact Solution of The (4+1)-Dimensional Fractional Boiti-Leon-Manna-Pempinelli Equation by The Expansion Method","authors":"M. Torvattanabun, Theeranon Thawila","doi":"10.37622/adsa/16.1.2021.237-255","DOIUrl":"https://doi.org/10.37622/adsa/16.1.2021.237-255","url":null,"abstract":"In this paper,we introduce a new the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional ( m+ G ′ G ) extension method is successfully applied to establish the exact solutions for the the (4+1)-dimensional fractional Boiti-Leon-Manna-Pempinelli equation. The fractional derivative version of Yang modified, linked with fractional complex transform is employed to reduce fractional differential equations into the corresponding ordinary differential equations. The results show that the new exact solution are precisely obtained and the efficiency of the methods is demonstrated.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"117 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91046394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hyperbolic Two Temperature Fractional-Order Thermoelastic Model Subjected to Thermal Loading with Two Relaxation Times 双松弛时间热载荷作用下的双曲双温度分数阶热弹性模型
Advances in Dynamical Systems and Applications Pub Date : 2020-12-30 DOI: 10.37622/ADSA/15.2.2020.217-229
E. Bassiouny, R. Rajagopalan
{"title":"Hyperbolic Two Temperature Fractional-Order Thermoelastic Model Subjected to Thermal Loading with Two Relaxation Times","authors":"E. Bassiouny, R. Rajagopalan","doi":"10.37622/ADSA/15.2.2020.217-229","DOIUrl":"https://doi.org/10.37622/ADSA/15.2.2020.217-229","url":null,"abstract":"The present work investigates the thermoelastic behaviour of an elastic material occupying the half space subjected to shock wave in the context of the fractional order generalized thermoelasticity associated with two relaxation times. The Laplace transform together with the Laplace transform of Caputo fractional integral has been applied to solve the closed form of the obtained solutions in the Laplace transform domain. The inversion of the dimensionless physical quantities are obtained numericaly using a complex inversion formula of Laplace transform based on a Fourier expansion. The variation of the heat conduction, the distribution of the stress and the strain with the fractional order parameter, second relaxation time and time are studied and the results presented graphically. Comparison between the effects of different parameters has been illustrated graphically.","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"81 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74986524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A New Version of the Minimax Problem 极大极小问题的一个新版本
Advances in Dynamical Systems and Applications Pub Date : 2020-12-30 DOI: 10.37622/ADSA/15.2.2020.271-281
A. Radouane, Fouad Ouziney, D. Mentagui
{"title":"A New Version of the Minimax Problem","authors":"A. Radouane, Fouad Ouziney, D. Mentagui","doi":"10.37622/ADSA/15.2.2020.271-281","DOIUrl":"https://doi.org/10.37622/ADSA/15.2.2020.271-281","url":null,"abstract":"In this paper, we establish a new type of minimax problem using the results given by [1]. 2010 Mathematics Subject Classification: 47H08;54H25;49J35,46A03","PeriodicalId":36469,"journal":{"name":"Advances in Dynamical Systems and Applications","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86816318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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