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On midpoint and trapezoid type inequalities for multiplicative integrals 关于乘法积分的中点和梯形不等式
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.11
Sundas Khan, H. Budak
{"title":"On midpoint and trapezoid type inequalities for multiplicative integrals","authors":"Sundas Khan, H. Budak","doi":"10.24193/mathcluj.2022.1.11","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.11","url":null,"abstract":"We establish some Hermite-Hadamard type inequalities for multiplicative convex functions. First, we obtain two equality for $^{ast }$ differentiable functions. Then using these inequalities and multiplicative convex functions, we establish some inequalities related to the right and left hand side of Hermite-Hadamard inequality for multiplicative integrals.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46305197","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
On FI-retractable modules 在fi可伸缩模块上
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.04
Marziyeh Atashkar, Y. Talebi
{"title":"On FI-retractable modules","authors":"Marziyeh Atashkar, Y. Talebi","doi":"10.24193/mathcluj.2022.1.04","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.04","url":null,"abstract":"We introduce the notion of FI-retractable modules which is a generalization of retractable modules. A module is called FI-retractable if for every nonzero fully invariant submodule N of M, Hom(M,N) is not 0. Wee continue the study of FI-retractable modules. Amongst other structural properties, we also deal direct sums and direct summands of FI-retractable modules. The last section of the paper is devoted to study of End(M), such that M is FI-retractable.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46659212","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
Operations on greedoids greedoid上的操作
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.01
T. Al-Hawary
{"title":"Operations on greedoids","authors":"T. Al-Hawary","doi":"10.24193/mathcluj.2022.1.01","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.01","url":null,"abstract":"We explore the operations of deletion, contraction, direct sum and ordered sum of greedoids. Moreover, we introduce the notion of balanced greedoid and give a necessary and sufficient condition for the direct sum and ordered sum of balanced greedoids to be balanced.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43167440","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 solvability of a system of Caputo-Hadamard fractional hybrid differential equations subject to some hybrid boundary conditions 一类杂化边界条件下Caputo-Hadamard分数阶杂化微分方程组的可解性
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.07
Abdelatif Boutiara, Maamar Benbachir, K. Guerbati
{"title":"On the solvability of a system of Caputo-Hadamard fractional hybrid differential equations subject to some hybrid boundary conditions","authors":"Abdelatif Boutiara, Maamar Benbachir, K. Guerbati","doi":"10.24193/mathcluj.2022.1.07","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.07","url":null,"abstract":"We give some existence and regularity results for a system of a new class of hybrid Caputo-Hadamard fractional differential equations under hybrid boundary conditions. The technique of investigation is essentially based on the use of a well known hybrid fixed point theorem.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46080649","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
Fixed points and stability of a class of nonlinear differential systems with several delays of feedback control 一类多时滞非线性微分系统的不动点与稳定性
Mathematica Pub Date : 2022-04-15 DOI: 10.24193/mathcluj.2022.1.08
Hocine Gabsi, A. Ardjouni, A. Djoudi
{"title":"Fixed points and stability of a class of nonlinear differential systems with several delays of feedback control","authors":"Hocine Gabsi, A. Ardjouni, A. Djoudi","doi":"10.24193/mathcluj.2022.1.08","DOIUrl":"https://doi.org/10.24193/mathcluj.2022.1.08","url":null,"abstract":"We offer existence criteria and sufficient conditions, so that the trivial solution of the differential system with several delays of feedback control is asymptotically stable. Here the fixed point technique is a practical method for this purpose. When these results are applied to some special delay mathematics models, some new results are obtained, and many known results are improved. Lastly, we provide an example that illustrates our results.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42772283","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
Well-posedness and general energy decay of solutions for a Petrovsky equation with a nonlinear strong dissipation 具有非线性强耗散的Petrovsky方程解的适定性和一般能量衰减
Mathematica Pub Date : 2021-11-25 DOI: 10.24193/mathcluj.2021.2.13
Tayeb Lakroumbe, M. Abdelli, Naima Louhibi, Mounir Bahlil
{"title":"Well-posedness and general energy decay of solutions for a Petrovsky equation with a nonlinear strong dissipation","authors":"Tayeb Lakroumbe, M. Abdelli, Naima Louhibi, Mounir Bahlil","doi":"10.24193/mathcluj.2021.2.13","DOIUrl":"https://doi.org/10.24193/mathcluj.2021.2.13","url":null,"abstract":"We consider a nonlinear Petrovsky equation in a bounded domain with a strong dissipation, and prove the existence and the uniqueness of the solution using the energy method combined with the Faedo-Galerkin procedure under certain assumptions. Furthermore, we study the asymptotic behaviour of the solutions using a perturbed energy method.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48553403","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
Strong regularity of smash products associated with G-set gradings 与G-集分级相关的粉碎产物的强规则性
Mathematica Pub Date : 2021-11-25 DOI: 10.24193/mathcluj.2021.2.14
G. Olteanu
{"title":"Strong regularity of smash products associated with G-set gradings","authors":"G. Olteanu","doi":"10.24193/mathcluj.2021.2.14","DOIUrl":"https://doi.org/10.24193/mathcluj.2021.2.14","url":null,"abstract":"For a group G, a G-graded ring R and a finite left G-set A, we study the strong regularity of the smash product of R and A.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45713343","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
Boundary value problems for Hilfer fractional differential equations with Katugampola fractional integral and anti-periodic conditions 具有Katugampola分数积分和反周期条件的Hilfer分数微分方程的边值问题
Mathematica Pub Date : 2021-11-25 DOI: 10.24193/mathcluj.2021.2.07
Abdelatif Boutiara, Maamar Benbachir, K. Guerbati
{"title":"Boundary value problems for Hilfer fractional differential equations with Katugampola fractional integral and anti-periodic conditions","authors":"Abdelatif Boutiara, Maamar Benbachir, K. Guerbati","doi":"10.24193/mathcluj.2021.2.07","DOIUrl":"https://doi.org/10.24193/mathcluj.2021.2.07","url":null,"abstract":"The purpose of this paper is to investigate the existence and uniqueness of solutions for a new class of nonlinear fractional differential equations involving Hilfer fractional operator with fractional integral boundary conditions. Our analysis relies on classical fixed point theorems and the Boyd-Wong nonlinear contraction. At the end, an illustrative example is presented. The boundary conditions introduced in this work are of quite general nature and can be reduce to many special cases by fixing the parameters involved in the conditions.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47275970","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 note on the Diophantine Equation x^2-kxy+ky^2+ly=0 丢番图方程的注释x^2-kxy+ky^2+ly=0
Mathematica Pub Date : 2021-11-25 DOI: 10.24193/mathcluj.2021.2.01
Sakha A. Alkabouss, Boualem Benseba, Nacira Berbara, S. Earp-Lynch, F. Luca
{"title":"A note on the Diophantine Equation x^2-kxy+ky^2+ly=0","authors":"Sakha A. Alkabouss, Boualem Benseba, Nacira Berbara, S. Earp-Lynch, F. Luca","doi":"10.24193/mathcluj.2021.2.01","DOIUrl":"https://doi.org/10.24193/mathcluj.2021.2.01","url":null,"abstract":"We investigate the Diophantine equation x^2 −kxy + ky^2 + ly = 0 for integers k and l with k even. We give a characterization of the positive solutions of this equation in terms of k and l. We also consider the same equation for other values of k and l.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44127324","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 generalization of weighted bilinear Hardy inequality 加权双线性Hardy不等式的一个推广
Mathematica Pub Date : 2021-11-25 DOI: 10.24193/mathcluj.2021.2.03
Benaissa Bouharket, M. Sarıkaya
{"title":"A generalization of weighted bilinear Hardy inequality","authors":"Benaissa Bouharket, M. Sarıkaya","doi":"10.24193/mathcluj.2021.2.03","DOIUrl":"https://doi.org/10.24193/mathcluj.2021.2.03","url":null,"abstract":"In this paper, we give some new generalizations of the weighted bilinear Hardy inequality by using certain weighted mean operators.","PeriodicalId":39356,"journal":{"name":"Mathematica","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43000634","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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