Kragujevac Journal of Mathematics最新文献

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On the Semigroup of Bi-Ideals of an Ordered Semigroup 关于有序半群的双理想半群
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2303.339m
SUSMITA MALLICK, KALYAN HANSDA
{"title":"On the Semigroup of Bi-Ideals of an Ordered Semigroup","authors":"SUSMITA MALLICK, KALYAN HANSDA","doi":"10.46793/kgjmat2303.339m","DOIUrl":"https://doi.org/10.46793/kgjmat2303.339m","url":null,"abstract":"The purpose of this paper is to characterize an ordered semigroup S in terms of the properties of the associated semigroup B(S) of all bi-ideals of S. We show that an ordered semigroup S is a Clifford ordered semigroup if and only if B(S) is a semilattice. The semigroup B(S) is a normal band if and only if the ordered semigroup S is both regular and intra regular. For each subvariety V of bands, we characterize the ordered semigroup S such that B(S) ∈ V.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135685654","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
q-Laplace Transform on Quantum Integral 量子积分上的q-拉普拉斯变换
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.153a
Necmettin Alp, M. Sarıkaya
{"title":"q-Laplace Transform on Quantum Integral","authors":"Necmettin Alp, M. Sarıkaya","doi":"10.46793/kgjmat2301.153a","DOIUrl":"https://doi.org/10.46793/kgjmat2301.153a","url":null,"abstract":"In this paper, we present q-Laplace transform by q-integral definition on quantum analogue. We present some properties and obtain formulaes of q-Laplace transform with its aplications.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44285277","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
(ω, c)-Almost Periodic Distributions (ω,c)-概周期分布
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.007k
M. T. Khalladi, M. Kostic, A. Rahmani, D. Velinov
{"title":"(ω, c)-Almost Periodic Distributions","authors":"M. T. Khalladi, M. Kostic, A. Rahmani, D. Velinov","doi":"10.46793/kgjmat2301.007k","DOIUrl":"https://doi.org/10.46793/kgjmat2301.007k","url":null,"abstract":"The aim of this work is the introduction of (w,c)-almost periodicity (resp. asymptotic (w,c)-almost periodicity) in distributions spaces. The characterizations and main properties of these distributions are given. We also study the existence of distributional (w,c)-almost periodic solutions of linear differential systems.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46977139","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 Generalization of Fractional Kinetic Equation Comprising Incomplete H-Function 包含不完全h函数的分数阶动力学方程的推广
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.701j
KAMLESH JANGID, S.D. PUROHIT, RITU AGARWAL, RAVI P. AGARWAL
{"title":"On the Generalization of Fractional Kinetic Equation Comprising Incomplete H-Function","authors":"KAMLESH JANGID, S.D. PUROHIT, RITU AGARWAL, RAVI P. AGARWAL","doi":"10.46793/kgjmat2305.701j","DOIUrl":"https://doi.org/10.46793/kgjmat2305.701j","url":null,"abstract":"In the present work, a novel and even more generalized fractional kinetic equation has been formulated in terms of polynomial weighted incomplete H-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function, considering the importance of the fractional kinetic equations arising in the various science and engineering problems. All the derived findings are of natural type and can produce a variety of fractional kinetic equations and their solutions.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784079","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
A New Approach for Solving a New Class of Nonlinear Optimal Control Problems Generated by Atangana-Baleanu- Caputo Variable Order Fractional Derivative and Fractional Volterra-Fredholm Integro-Differential Equations 一类由Atangana-Baleanu- Caputo变阶分数阶导数和分数阶Volterra-Fredholm积分-微分方程产生的非线性最优控制问题的新方法
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.673g
F. GHOMANJANI
{"title":"A New Approach for Solving a New Class of Nonlinear Optimal Control Problems Generated by Atangana-Baleanu- Caputo Variable Order Fractional Derivative and Fractional Volterra-Fredholm Integro-Differential Equations","authors":"F. GHOMANJANI","doi":"10.46793/kgjmat2305.673g","DOIUrl":"https://doi.org/10.46793/kgjmat2305.673g","url":null,"abstract":"In the sequel, the numerical solution of a new class of nonlinear optimal control problems (OCPs) generated by Atangana-Baleanu-Caputo (ABC) variable order (V-O) fractional derivative (FD) and fractional Volterra-Fredholm integro-differential equations (FVFIDEs) is found by Bezier curve method (BCM). The main idea behind this work is the use of the BCM. In this technique, the solution is found in the form of a rapid convergent series. Using this method, it is possible to obtain BCM solution of the general form of multipoint boundary value problems. To shown the efficiency of the developed method, numerical results are stated as the main results in this study.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135843828","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 Subclasses of Meromorphic Functions with Positive Coefficients Associated with Linear Operator 与线性算子相关的正系数亚纯函数的某些子类
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.143k
Osamah N. Kassar, A. Juma
{"title":"Certain Subclasses of Meromorphic Functions with Positive Coefficients Associated with Linear Operator","authors":"Osamah N. Kassar, A. Juma","doi":"10.46793/kgjmat2301.143k","DOIUrl":"https://doi.org/10.46793/kgjmat2301.143k","url":null,"abstract":"In this paper, we introduce and study certain subclass of meromorphic univalent functions by using a linear operator by means of a Hadamard product involving some suitably normalized meromorphically q-Hypergeometric functions, in the punctured open unit disk. Some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, Extreme Points and Radii of meromorphic starlikeness and meromorphic convexity are obtained.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41475056","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
Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with N-Singularities on Time Scales 时间尺度上具有n个奇异点的边值问题迭代系统的可数多正解
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2303.369p
K. R. Prasad, M. Khuddush
{"title":"Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with N-Singularities on Time Scales","authors":"K. R. Prasad, M. Khuddush","doi":"10.46793/kgjmat2303.369p","DOIUrl":"https://doi.org/10.46793/kgjmat2303.369p","url":null,"abstract":"In this paper we consider a iterative system of two-point boundary value problems with integral boundary conditions having n singularities and involve an increasing homeomorphism, positive homomorphism operator. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of denumerably many positive solutions. Finally we provide an example to check validity of our obtained results.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588483","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 Results Concerned with Hankel Determinant 关于汉克尔行列式的一些结果
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2303.481o
B. Örnek
{"title":"Some Results Concerned with Hankel Determinant","authors":"B. Örnek","doi":"10.46793/kgjmat2303.481o","DOIUrl":"https://doi.org/10.46793/kgjmat2303.481o","url":null,"abstract":". In this paper, we discuss different versions of the boundary Schwarz lemma and Hankel determinant for K ( α ) class. Also, for the function f ( z ) = z + c 2 z 2 + c 3 z 3 + · · · defined in the unit disc such that f ∈ K ( α ), we estimate a modulus of the angular derivative of f ( z ) function at the boundary point z 0 with f ( z 0 ) = z 0 1+ α and f 0 ( z 0 ) = 1 1+ α . That is, we shall give an estimate below | f 00 ( z 0 ) | according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z 1 6 = 0. The sharpness of this inequality is also proved.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70589107","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
Necessary and Sufficient Conditions for Oscillations to a Second-Order Neutral Differential Equations with Impulses 一类具有脉冲的二阶中立型微分方程振动的充要条件
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.081t
A. Tripathy, S. Santra
{"title":"Necessary and Sufficient Conditions for Oscillations to a Second-Order Neutral Differential Equations with Impulses","authors":"A. Tripathy, S. Santra","doi":"10.46793/kgjmat2301.081t","DOIUrl":"https://doi.org/10.46793/kgjmat2301.081t","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46976980","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: 6
Inequalities Among Topological Descriptors 拓扑描述符之间的不等式
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.661s
ZEHUI SHAO, HUIQIN JIANG, ZAHID RAZA
{"title":"Inequalities Among Topological Descriptors","authors":"ZEHUI SHAO, HUIQIN JIANG, ZAHID RAZA","doi":"10.46793/kgjmat2305.661s","DOIUrl":"https://doi.org/10.46793/kgjmat2305.661s","url":null,"abstract":"A topological index is a type of molecular descriptor that is calculated based on the molecular graph of a chemical compound. Topological indices are used for example in the development of QSAR QSPR in which the biological activity or other properties of molecules are correlated with their chemical structure. In this paper, we establish several inequalities among the molecular descriptors such as the generalized version of the first Zagreb index, the Randić index, the ABC index, AZI index, and the redefined first, second and third Zagreb indices.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784080","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
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