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Advanced Studies: Euro-Tbilisi Mathematical Journal最新文献

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Gröbner-Shirshov basis and normal forms for the infinite Coxeter group of type $widetilde{C}_n$ Gröbner-Shirshov类型为$ widdetilde {C}_n$的无限Coxeter群的基和范式
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-06-01 DOI: 10.32513/asetmj/19322008218
Uğur Ustaoğlu, E. Yilmaz
{"title":"Gröbner-Shirshov basis and normal forms for the infinite Coxeter group of type $widetilde{C}_n$","authors":"Uğur Ustaoğlu, E. Yilmaz","doi":"10.32513/asetmj/19322008218","DOIUrl":"https://doi.org/10.32513/asetmj/19322008218","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129315734","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
Global existence and decay estimates for the semilinear nonclassical-diffusion equations with memory in $mathbb{R}^{n}$ $mathbb{R}^{n}$中具有记忆的半线性非经典扩散方程的整体存在性和衰减估计
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-06-01 DOI: 10.32513/asetmj/19322008215
M. Berbiche, Ammar Melik
{"title":"Global existence and decay estimates for the semilinear nonclassical-diffusion equations with memory in $mathbb{R}^{n}$","authors":"M. Berbiche, Ammar Melik","doi":"10.32513/asetmj/19322008215","DOIUrl":"https://doi.org/10.32513/asetmj/19322008215","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115191738","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
Certain inequalities for fractional $(p,q)$-calculus 分数阶$(p,q)$的若干不等式-微积分
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-06-01 DOI: 10.32513/asetmj/19322008217
P. Jain, Rohit Manglik
{"title":"Certain inequalities for fractional $(p,q)$-calculus","authors":"P. Jain, Rohit Manglik","doi":"10.32513/asetmj/19322008217","DOIUrl":"https://doi.org/10.32513/asetmj/19322008217","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124471114","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
New exact solutions for the time fractional Broadwell system 时间分数型Broadwell系统的新精确解
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008204
S. Dukhnovsky
{"title":"New exact solutions for the time fractional Broadwell system","authors":"S. Dukhnovsky","doi":"10.32513/asetmj/19322008204","DOIUrl":"https://doi.org/10.32513/asetmj/19322008204","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131720063","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
The Lie algebra $it{mathcal{K}_5}$: three variable models and their connection with special functions 李代数$it{mathcal{K}_5}$:三个变量模型及其与特殊函数的联系
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008205
Sarasvati Yadav, G. Rani
{"title":"The Lie algebra $it{mathcal{K}_5}$: three variable models and their connection with special functions","authors":"Sarasvati Yadav, G. Rani","doi":"10.32513/asetmj/19322008205","DOIUrl":"https://doi.org/10.32513/asetmj/19322008205","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114520978","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
Existence of solutions for $n$-dimensional fractional order bvp with $infty$–point boundary conditions via the concept of measure of noncompactness 利用非紧性测度的概念，讨论了具有$infty$点边界条件的$n$维分数阶bvp解的存在性
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008202
D. Victor, M. Khuddush
{"title":"Existence of solutions for $n$-dimensional fractional order bvp with $infty$–point boundary conditions via the concept of measure of noncompactness","authors":"D. Victor, M. Khuddush","doi":"10.32513/asetmj/19322008202","DOIUrl":"https://doi.org/10.32513/asetmj/19322008202","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123322712","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: 5
On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions 关于算术函数渐近公式中误差项的第二类Volterra积分方程的解
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008206
Hidetomo Iwata
{"title":"On the solution of the Volterra integral equation of second type for the error term in an asymptotic formula for arithmetical functions","authors":"Hidetomo Iwata","doi":"10.32513/asetmj/19322008206","DOIUrl":"https://doi.org/10.32513/asetmj/19322008206","url":null,"abstract":". In 2010, J.Kaczorowski and K.Wiertelak considered the Volterra integral equation of second type for the remainder term in the asymptotic formula for the Euler totient function. The author found that the consideration made by them holds for other remainder terms in the asymptotic formula having certain common properties. In this paper, we first consider the pair of complex-valued arithmetical functions ( a ( n ) , b ( n )) satisfying b ( n ) = P d | n a ( d ) n / d . We prove that the solution of the Volterra integral equation of second type for the error term in the asymptotic formula for b ( n ) can be obtained when a ( n ) satisfies some special condition.","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133584496","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
Common fixed point theorems in complex partial b-metric space with an application to integral equations 复偏b-度量空间中的公共不动点定理及其在积分方程中的应用
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008209
Gunaseelan Mani, Lakshmi Narayan Mishra, V. Mishra
{"title":"Common fixed point theorems in complex partial b-metric space with an application to integral equations","authors":"Gunaseelan Mani, Lakshmi Narayan Mishra, V. Mishra","doi":"10.32513/asetmj/19322008209","DOIUrl":"https://doi.org/10.32513/asetmj/19322008209","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132721010","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
Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity 一类具有对数非线性的抛物型Kirchhoff方程解的存在性和衰减性
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008208
E. Pişkin, Tuğrul Cömert
{"title":"Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity","authors":"E. Pişkin, Tuğrul Cömert","doi":"10.32513/asetmj/19322008208","DOIUrl":"https://doi.org/10.32513/asetmj/19322008208","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122219532","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
A novel representation of numerical solution for fractional Bratu-type equation 分数阶bratu型方程数值解的一种新表示
Advanced Studies: Euro-Tbilisi Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32513/asetmj/19322008207
Ali Khalouta
{"title":"A novel representation of numerical solution for fractional Bratu-type equation","authors":"Ali Khalouta","doi":"10.32513/asetmj/19322008207","DOIUrl":"https://doi.org/10.32513/asetmj/19322008207","url":null,"abstract":"","PeriodicalId":309109,"journal":{"name":"Advanced Studies: Euro-Tbilisi Mathematical Journal","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124553796","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
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