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Classes of non-commutative semigroups with finite Fibonacci invariants 有限Fibonacci不变量的非交换半群
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344905
M. Monsef, H. Doostie
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引用次数: 0
The fractional Green's function by Babenko's approach Babenko方法的分数格林函数
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344896
Chenkuan Li, Changpin Li
{"title":"The fractional Green's function by Babenko's approach","authors":"Chenkuan Li, Changpin Li","doi":"10.32513/tbilisi/1601344896","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344896","url":null,"abstract":"The goal of this paper is to derive the fractional Green’s function for the first time in the distributional space for the fractional-order integro-differential equation with constant coefficients. Our new technique is based on Babenko’s approach, without using any integral transforms such as the Laplace transform along with Mittag-Leffler function. The results obtained are not only much simpler, but also more generalized than the classical ones as they deal with distributions which are undefined in the ordinary sense in general. Furthermore, several interesting applications to solving the fractional differential and integral equations, as well as in the wave reaction-diffusion equation are provided, some of which cannot be achieved by integral transforms or numerical analysis. 2010 Mathematics Subject Classification. 46F10. 45J05, 26A33.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"19-42"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46057968","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
Periodic solutions to certain classes of third order delay differential equations 一类三阶时滞微分方程的周期解
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344907
S. Olayemi, B. S. Ogundare
{"title":"Periodic solutions to certain classes of third order delay differential equations","authors":"S. Olayemi, B. S. Ogundare","doi":"10.32513/tbilisi/1601344907","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344907","url":null,"abstract":"In this paper, existence of unique periodic solutions for two classes of third order delay differential equations are considered. The two equations are expressed in their integral equivalents with which suitable Green’s function is constructed and its associated properties stated. The main tool adopted to establish the existence of unique periodic solutions to the classes of delay differential equations is the Krasnoselskii’s fixed point theorem due to its applicability to the combination of a compact and contraction mappings which occur in dealing with perturbed differential operators.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"171-187"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42144196","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 existence criterion of infinitely many solutions for partial discrete Dirichlet problems 部分离散Dirichlet问题无穷多解的新存在性准则
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344897
Fariba Gharehgazlouei, S. Heidarkhani
{"title":"New existence criterion of infinitely many solutions for partial discrete Dirichlet problems","authors":"Fariba Gharehgazlouei, S. Heidarkhani","doi":"10.32513/tbilisi/1601344897","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344897","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"43-51"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41742508","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
Semitotal domination of Harary graphs 哈拉图的半支配性
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344895
Zeliha Kartal, A. Aytaç
{"title":"Semitotal domination of Harary graphs","authors":"Zeliha Kartal, A. Aytaç","doi":"10.32513/tbilisi/1601344895","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344895","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"11-17"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43262395","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 new reliable method and its convergence for nonlinear second-order fractional differential equations 非线性二阶分数阶微分方程的一种新的可靠方法及其收敛性
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344903
Ali Khalouta, A. Kadem
{"title":"A new reliable method and its convergence for nonlinear second-order fractional differential equations","authors":"Ali Khalouta, A. Kadem","doi":"10.32513/tbilisi/1601344903","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344903","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"133-143"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43386539","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
Fractional integral inequalities for generalized convexity 广义凸性的分数积分不等式
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344899
A. Kashuri, M. Ali, M. Abbas, H. Budak, M. Sarıkaya
{"title":"Fractional integral inequalities for generalized convexity","authors":"A. Kashuri, M. Ali, M. Abbas, H. Budak, M. Sarıkaya","doi":"10.32513/tbilisi/1601344899","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344899","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"63-83"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49429896","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
Coefficient bounds for subclasses of bi-univalent functions defined by fractional derivative operator 分数导数算子定义的双一价函数子类的系数界
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344894
S. S. Eker, Bilal Seker, S. Ece
{"title":"Coefficient bounds for subclasses of bi-univalent functions defined by fractional derivative operator","authors":"S. S. Eker, Bilal Seker, S. Ece","doi":"10.32513/tbilisi/1601344894","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344894","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"1-10"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45340762","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
Third order differential subordination and superordination results for analytic functions involving the Hohlov operator 含Hohlov算子的解析函数的三阶微分从属和上位结果
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344901
A. K. Mishra, A. Prajapati, P. Gochhayat
{"title":"Third order differential subordination and superordination results for analytic functions involving the Hohlov operator","authors":"A. K. Mishra, A. Prajapati, P. Gochhayat","doi":"10.32513/tbilisi/1601344901","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344901","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"95-109"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47320002","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
Some curvature properties on Lorentzian $beta$-Kenmotsu manifold with a semi-symmetric semi-metric connection 具有半对称半度量连接的Lorentzian $beta$-Kenmotsu流形的一些曲率性质
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344900
S. Kishor, P. Verma
{"title":"Some curvature properties on Lorentzian $beta$-Kenmotsu manifold with a semi-symmetric semi-metric connection","authors":"S. Kishor, P. Verma","doi":"10.32513/tbilisi/1601344900","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344900","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"85-94"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47320416","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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