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Learning rate selection in stochastic gradient methods based on line search strategies 基于线搜索策略的随机梯度方法的学习率选择
Applied Mathematics in Science and Engineering Pub Date : 2023-01-09 DOI: 10.1080/27690911.2022.2164000
Giorgia Franchini, F. Porta, V. Ruggiero, Ilaria Trombini, L. Zanni
{"title":"Learning rate selection in stochastic gradient methods based on line search strategies","authors":"Giorgia Franchini, F. Porta, V. Ruggiero, Ilaria Trombini, L. Zanni","doi":"10.1080/27690911.2022.2164000","DOIUrl":"https://doi.org/10.1080/27690911.2022.2164000","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129072762","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
Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations Elzaki分解方法在分数阶松弛振荡方程和分数阶生物种群方程中的应用
Applied Mathematics in Science and Engineering Pub Date : 2023-01-05 DOI: 10.1080/27690911.2022.2154766
Lata Chanchlani, Mohini Agrawal, R. Pandey, S. Purohit, D.L. Suthar
{"title":"Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations","authors":"Lata Chanchlani, Mohini Agrawal, R. Pandey, S. Purohit, D.L. Suthar","doi":"10.1080/27690911.2022.2154766","DOIUrl":"https://doi.org/10.1080/27690911.2022.2154766","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124024327","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
An efficient one-step proximal method for EIT sparse reconstruction based on nonstationary iterated Tikhonov regularization 基于非平稳迭代Tikhonov正则化的EIT稀疏重建一步逼近方法
Applied Mathematics in Science and Engineering Pub Date : 2022-12-30 DOI: 10.1080/27690911.2022.2157413
Jing Wang
{"title":"An efficient one-step proximal method for EIT sparse reconstruction based on nonstationary iterated Tikhonov regularization","authors":"Jing Wang","doi":"10.1080/27690911.2022.2157413","DOIUrl":"https://doi.org/10.1080/27690911.2022.2157413","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126862908","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
Comprehending the model of omicron variant using fractional derivatives 用分数阶导数理解组粒变异模型
Applied Mathematics in Science and Engineering Pub Date : 2022-12-30 DOI: 10.1080/27690911.2022.2159027
Shivani Sharma, P. Goswami, D. Baleanu, Ravi Shankar Dubey
{"title":"Comprehending the model of omicron variant using fractional derivatives","authors":"Shivani Sharma, P. Goswami, D. Baleanu, Ravi Shankar Dubey","doi":"10.1080/27690911.2022.2159027","DOIUrl":"https://doi.org/10.1080/27690911.2022.2159027","url":null,"abstract":"The world is grappled with an unprecedented challenges due to Corona virus. We are all battling this epidemic together, but we have not been able to defeat this epidemic yet. A new variant of this virus, named 'Omicron' is spreading these days. The fractional differential equations are providing us with better tools to study the mathematical model with memory effects. In this paper, we will consider an extended SER mathematical model with quarantined and vaccinated compartment to speculate the Omicron variant. This extended Susceptible Exposed Infected Recovered SER model involves equations that associate with the group of individuals those are susceptible (S), exposed (E): this class includes the individuals who are infected but not yet infectious, infectious (W): this class includes the individuals who are infected but not yet Quarantined, quarantined (Q): this class includes those group of people who are infectious, confirmed and quarantined, recovered (R) this class includes the group of individuals who have recovered, and vaccinated (V): this class includes the group of individuals who have been vaccinated. The non-negativity and of the extended SER model is analysed, the equilibrium points and the basic reproduction number are also calculated. The proposed model is then extended to the mathematical model using AB derivative operator. Proof for the existence and the uniqueness for the solution of fractional mathematical model in sense of AB fractional derivative is detailed and a numerical method is detailed to obtain the numerical solutions. Further we have discussed the efficiency of the vaccine against the Omicron variant via graphical representation.","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120994781","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: 4
A new family of Apostol–Genocchi polynomials associated with their certain identities 一个新的apostol_genochi多项式族及其一定的恒等式
Applied Mathematics in Science and Engineering Pub Date : 2022-12-30 DOI: 10.1080/27690911.2022.2155641
N. Khan, Saddam Husain, T. Usman, S. Araci
{"title":"A new family of Apostol–Genocchi polynomials associated with their certain identities","authors":"N. Khan, Saddam Husain, T. Usman, S. Araci","doi":"10.1080/27690911.2022.2155641","DOIUrl":"https://doi.org/10.1080/27690911.2022.2155641","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125300187","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: 4
Selecting cloud database services provider through multi-attribute group decision making: a probabilistic uncertainty linguistics TODIM model 基于多属性群体决策的云数据库服务提供商选择:一个概率不确定性语言学TODIM模型
Applied Mathematics in Science and Engineering Pub Date : 2022-12-28 DOI: 10.1080/27690911.2022.2156502
Thi Minh Hang Nguyen, V. P. Nguyen, D. Nguyen
{"title":"Selecting cloud database services provider through multi-attribute group decision making: a probabilistic uncertainty linguistics TODIM model","authors":"Thi Minh Hang Nguyen, V. P. Nguyen, D. Nguyen","doi":"10.1080/27690911.2022.2156502","DOIUrl":"https://doi.org/10.1080/27690911.2022.2156502","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"192 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126995707","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
Finite-time stability of set switched systems with non-instantaneous impulses 非瞬时脉冲集合开关系统的有限时间稳定性
Applied Mathematics in Science and Engineering Pub Date : 2022-12-11 DOI: 10.1080/27690911.2022.2140148
Peiguang Wang, M. Guo, Junyan Bao
{"title":"Finite-time stability of set switched systems with non-instantaneous impulses","authors":"Peiguang Wang, M. Guo, Junyan Bao","doi":"10.1080/27690911.2022.2140148","DOIUrl":"https://doi.org/10.1080/27690911.2022.2140148","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131145909","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
Some identities related to degenerate r-Bell and degenerate Fubini polynomials 简并r-Bell多项式和简并富比尼多项式的一些恒等式
Applied Mathematics in Science and Engineering Pub Date : 2022-12-10 DOI: 10.1080/27690911.2023.2205642
Taekyun Kim, Dae San Kim, J. Kwon
{"title":"Some identities related to degenerate r-Bell and degenerate Fubini polynomials","authors":"Taekyun Kim, Dae San Kim, J. Kwon","doi":"10.1080/27690911.2023.2205642","DOIUrl":"https://doi.org/10.1080/27690911.2023.2205642","url":null,"abstract":"Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the introduction of the degenerate Bernoulli and degenerate Euler polynomials by Carlitz. The aim of this paper is to study some properties, recurrence relations and identities related to the degenerate r-Bell polynomials, the two variable degenerate Fubini polynomials and the degenerate r-Stirling numbers of the second kind.","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130055250","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
Existence, uniqueness and stability of solutions to fractional backward stochastic differential equations 分数阶倒向随机微分方程解的存在唯一性与稳定性
Applied Mathematics in Science and Engineering Pub Date : 2022-11-27 DOI: 10.1080/27690911.2022.2142219
Jiahao Chen, Suoao Ke, Xiaofei Li, Wenbo Liu
{"title":"Existence, uniqueness and stability of solutions to fractional backward stochastic differential equations","authors":"Jiahao Chen, Suoao Ke, Xiaofei Li, Wenbo Liu","doi":"10.1080/27690911.2022.2142219","DOIUrl":"https://doi.org/10.1080/27690911.2022.2142219","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134412709","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
Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations 求解线性和非线性模糊方程组的高效数值格式及其在微分方程中的应用
Applied Mathematics in Science and Engineering Pub Date : 2022-11-22 DOI: 10.1080/27690911.2022.2147165
Mudassir Shams, N. Kausar, P. Agarwal, S. Momani, M. Shah
{"title":"Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations","authors":"Mudassir Shams, N. Kausar, P. Agarwal, S. Momani, M. Shah","doi":"10.1080/27690911.2022.2147165","DOIUrl":"https://doi.org/10.1080/27690911.2022.2147165","url":null,"abstract":"","PeriodicalId":255456,"journal":{"name":"Applied Mathematics in Science and Engineering","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133337574","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: 7
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