Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.935v
Sachin Kumar Verma, R. Vats, H. Nashine, H. Srivastava
This paper studies existence of solutions for a new class of fractional differential inclusions of arbitrary order with three-point fractional integral boundary conditions. Our results are based on Bohnenblust-Karlin’s fixed point theorem.
{"title":"Existence Results for a Fractional Differential Inclusion of Arbitrary Order with Three-Point Boundary Conditions","authors":"Sachin Kumar Verma, R. Vats, H. Nashine, H. Srivastava","doi":"10.46793/kgjmat2306.935v","DOIUrl":"https://doi.org/10.46793/kgjmat2306.935v","url":null,"abstract":"This paper studies existence of solutions for a new class of fractional differential inclusions of arbitrary order with three-point fractional integral boundary conditions. Our results are based on Bohnenblust-Karlin’s fixed point theorem.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"77 4","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138623485","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.851g
V. Govindan, S. Pinelas, Jung Rye Lee, Choonki Park
{"title":"Stability of an l-Variable Cubic Functional Equation","authors":"V. Govindan, S. Pinelas, Jung Rye Lee, Choonki Park","doi":"10.46793/kgjmat2306.851g","DOIUrl":"https://doi.org/10.46793/kgjmat2306.851g","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" 10","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138618762","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.825u
G. C. Ugwunnadi, C. Okeke, A. Khan, L. Jolaoso
The main purpose of this paper is to introduce and study a viscosity type algorithm in a Hadamard space which comprises of a demimetric mapping, a finite family of inverse strongly monotone mappings and an equilibrium problem for a bifunction. Strong convergence of the proposed algorithm to a common solution of variational inequality problem, fixed point problem and equilibrium problem is established in Hadamard spaces. Nontrivial Applications and numerical examples were given. Our results compliment some results in the literature.
{"title":"Strong Convergence Results for Variational Inequality and Equilibrium Problem in Hadamard Spaces","authors":"G. C. Ugwunnadi, C. Okeke, A. Khan, L. Jolaoso","doi":"10.46793/kgjmat2306.825u","DOIUrl":"https://doi.org/10.46793/kgjmat2306.825u","url":null,"abstract":"The main purpose of this paper is to introduce and study a viscosity type algorithm in a Hadamard space which comprises of a demimetric mapping, a finite family of inverse strongly monotone mappings and an equilibrium problem for a bifunction. Strong convergence of the proposed algorithm to a common solution of variational inequality problem, fixed point problem and equilibrium problem is established in Hadamard spaces. Nontrivial Applications and numerical examples were given. Our results compliment some results in the literature.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"11 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138623829","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.865w
S. L. Wali
In this paper we prove some results concerning the rational functions with prescribed poles and restricted zeros. These results in fact generalize or strengthen some known inequalities for rational functions with prescribed poles and in turn produce new results besides the refinements of some known polynomial inequalities. Our method of proof may be useful for proving other inequalities for polynomials and rational functions.
{"title":"Inequalities for Maximum Modulus of Rational Functions with Prescribed Poles","authors":"S. L. Wali","doi":"10.46793/kgjmat2306.865w","DOIUrl":"https://doi.org/10.46793/kgjmat2306.865w","url":null,"abstract":"In this paper we prove some results concerning the rational functions with prescribed poles and restricted zeros. These results in fact generalize or strengthen some known inequalities for rational functions with prescribed poles and in turn produce new results besides the refinements of some known polynomial inequalities. Our method of proof may be useful for proving other inequalities for polynomials and rational functions.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"35 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138627030","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.947d
Arpita Das, P. Panigrahi
In this paper we construct several classes of non-regular graphs which are co-spectral with respect to all the three matrices, namely, adjacency, Laplacian and normalized Laplacian, and hence we answer a question asked by Butler [?]. We make these constructions starting with two pairs (G1, H1) and (G2, H2) of A-cospectral regular graphs, then considering the subdivision graphs S(Gi) and R-graphs ℛ(Hi), i = 1, 2, and finally making some kind of partial joins between S(G1) and ℛ(G2) and S(H1) and ℛ(H2). Moreover, we determine the number of spanning trees and the Kirchhoff index of the newly constructed graphs.
在本文中,我们构造了几类非正则图,它们对所有三个矩阵都是共谱的,即邻接矩阵、拉普拉斯矩阵和归一化拉普拉斯矩阵,从而回答了Butler[?]提出的一个问题。我们从a -共谱正则图的两对(G1, H1)和(G2, H2)开始构造这些图,然后考虑图S(Gi)和图r (Hi), i = 1,2的细分,最后在S(G1)与g (G2)和S(H1)与g (H2)之间建立某种部分连接。此外,我们还确定了生成树的个数和新构造图的Kirchhoff指数。
{"title":"Construction of Simultaneous Cospectral Graphs for Adjacency, Laplacian and Normalized Laplacian Matrices","authors":"Arpita Das, P. Panigrahi","doi":"10.46793/kgjmat2306.947d","DOIUrl":"https://doi.org/10.46793/kgjmat2306.947d","url":null,"abstract":"In this paper we construct several classes of non-regular graphs which are co-spectral with respect to all the three matrices, namely, adjacency, Laplacian and normalized Laplacian, and hence we answer a question asked by Butler [?]. We make these constructions starting with two pairs (G1, H1) and (G2, H2) of A-cospectral regular graphs, then considering the subdivision graphs S(Gi) and R-graphs ℛ(Hi), i = 1, 2, and finally making some kind of partial joins between S(G1) and ℛ(G2) and S(H1) and ℛ(H2). Moreover, we determine the number of spanning trees and the Kirchhoff index of the newly constructed graphs.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" 34","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138613898","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.847a
Milica Anðelić, C. D. da Fonseca
The aim of this note is to provide succinct proofs for a recent formula of the derangement numbers in terms of the determinant of a tridiagonal matrix.
本文的目的是为最近的一个用三对角矩阵行列式表示的无序数公式提供简洁的证明。
{"title":"On a Determinantal Formula for Derangement Numbers","authors":"Milica Anðelić, C. D. da Fonseca","doi":"10.46793/kgjmat2306.847a","DOIUrl":"https://doi.org/10.46793/kgjmat2306.847a","url":null,"abstract":"The aim of this note is to provide succinct proofs for a recent formula of the derangement numbers in terms of the determinant of a tridiagonal matrix.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"23 34","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138624278","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.911d
Shovan Dogra, M. Pal
Picture fuzzy subgroup of a crisp group is established here and some properties connected to it are investigated. Also, normalized restricted picture fuzzy set, conjugate picture fuzzy subgroup, picture fuzzy coset, picture fuzzy normal subgroup and the order of picture fuzzy subgroup are defined. The order of picture fuzzy subgroup is defined using the cardinality of a special type of crisp subgroup. Some corresponding properties are established in this regard. Significant Statement. Subgroup is an important algebraic structure in the field of Pure Mathematics. Study of different properties of subgroup in fuzzy sense is an interesting fact to the readers because fuzzy sense is the extension of classical sense. Readers can easily observe how the properties of subgroup hold in fuzzy sense like classical sense. Picture fuzzy sense is the generalization of fuzzy sense. In other words, picture fuzzy sense can be treated as advanced fuzzy sense. Readers will be interested to study how the properties of subgroup hold when the number of components increases in fuzzy environment. Our study is actually the study of an important type of advanced fuzzy algebraic structure.
{"title":"Picture Fuzzy Subgroup","authors":"Shovan Dogra, M. Pal","doi":"10.46793/kgjmat2306.911d","DOIUrl":"https://doi.org/10.46793/kgjmat2306.911d","url":null,"abstract":"Picture fuzzy subgroup of a crisp group is established here and some properties connected to it are investigated. Also, normalized restricted picture fuzzy set, conjugate picture fuzzy subgroup, picture fuzzy coset, picture fuzzy normal subgroup and the order of picture fuzzy subgroup are defined. The order of picture fuzzy subgroup is defined using the cardinality of a special type of crisp subgroup. Some corresponding properties are established in this regard. Significant Statement. Subgroup is an important algebraic structure in the field of Pure Mathematics. Study of different properties of subgroup in fuzzy sense is an interesting fact to the readers because fuzzy sense is the extension of classical sense. Readers can easily observe how the properties of subgroup hold in fuzzy sense like classical sense. Picture fuzzy sense is the generalization of fuzzy sense. In other words, picture fuzzy sense can be treated as advanced fuzzy sense. Readers will be interested to study how the properties of subgroup hold when the number of components increases in fuzzy environment. Our study is actually the study of an important type of advanced fuzzy algebraic structure.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"59 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138621907","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.891a
Asma Ali, A. Boua, I. Huque
In this paper, we define generalized (σ,τ)-n-derivation for any mappings σ and τ of a near ring N and also investigate the structure of a 3-prime near ring satisfying certain identities with generalized (σ,τ)-n-derivation. Moreover, we characterize the aforementioned mappings.
{"title":"Structure of 3-Prime Near Rings with Generalized (σ,τ)-n-Derivations","authors":"Asma Ali, A. Boua, I. Huque","doi":"10.46793/kgjmat2306.891a","DOIUrl":"https://doi.org/10.46793/kgjmat2306.891a","url":null,"abstract":"In this paper, we define generalized (σ,τ)-n-derivation for any mappings σ and τ of a near ring N and also investigate the structure of a 3-prime near ring satisfying certain identities with generalized (σ,τ)-n-derivation. Moreover, we characterize the aforementioned mappings.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"83 s367","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138622572","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}
Pub Date : 2023-12-01DOI: 10.46793/kgjmat2306.965h
Shyama Lkumar Hui, Hasan Shahid, Tanumoy Pal, Joydeb Roy
{"title":"On Two Different Classes of Warped Product Submanifolds of Kenmotsu Manifolds","authors":"Shyama Lkumar Hui, Hasan Shahid, Tanumoy Pal, Joydeb Roy","doi":"10.46793/kgjmat2306.965h","DOIUrl":"https://doi.org/10.46793/kgjmat2306.965h","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"8 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138626027","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}
Pub Date : 2023-04-01DOI: 10.46793/kgjmat2302.281k
Zineb Khalili, D. Ouchenane
This manuscript is mainly focusing on a general stability of solution for one-dimensional Timoshenko system with infinite history and distributed delay term regardless also of the speeds of wave propagation. We prove our result by using the energy method combined with some properties of convex functions.
{"title":"A Stability Result for a Timoshenko System with Infinite History and Distributed Delay Term","authors":"Zineb Khalili, D. Ouchenane","doi":"10.46793/kgjmat2302.281k","DOIUrl":"https://doi.org/10.46793/kgjmat2302.281k","url":null,"abstract":"This manuscript is mainly focusing on a general stability of solution for one-dimensional Timoshenko system with infinite history and distributed delay term regardless also of the speeds of wave propagation. We prove our result by using the energy method combined with some properties of convex functions.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43229786","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}