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Kragujevac Journal of Mathematics最新文献

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Symmetries, Noether’s Theorem, Conservation Laws and Numerical Simulation for Space-Space-Fractional Generalized Poisson Equation 空间-空间-分数阶广义泊松方程的对称性、诺特定理、守恒定律和数值模拟
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.713h
S. REZA HEJAZI, AZADEH NADERIFARD, SOLEIMAN HOSSEINPOUR, ELHAM DASTRANJ
{"title":"Symmetries, Noether’s Theorem, Conservation Laws and Numerical Simulation for Space-Space-Fractional Generalized Poisson Equation","authors":"S. REZA HEJAZI, AZADEH NADERIFARD, SOLEIMAN HOSSEINPOUR, ELHAM DASTRANJ","doi":"10.46793/kgjmat2305.713h","DOIUrl":"https://doi.org/10.46793/kgjmat2305.713h","url":null,"abstract":"In the present paper Lie theory of differential equations is expanded for finding symmetry geometric vector fields of Poisson equation. Similarity variables extracted from symmetries are applied in order to find reduced forms of the considered equation by using Erdélyi-Kober operator. Conservation laws of the space-space-fractional generalized Poisson equation with the Riemann-Liouville derivative are investigated via Noether’s method. By means of the concept of non-linear self-adjointness, Noether’s operators, formal Lagrangians and conserved vectors are computed. A collocation technique is also applied to give a numerical simulation of the problem.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"7 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":"135843431","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 Stability of Solutions for Nabla Fractional Difference Systems with Anti-periodic Boundary Conditions 具有反周期边界条件的Nabla分数阶差分系统解的存在性与稳定性
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.739j
JAGAN MOHAN JONNALAGADDA
{"title":"Existence and Stability of Solutions for Nabla Fractional Difference Systems with Anti-periodic Boundary Conditions","authors":"JAGAN MOHAN JONNALAGADDA","doi":"10.46793/kgjmat2305.739j","DOIUrl":"https://doi.org/10.46793/kgjmat2305.739j","url":null,"abstract":"In this paper, we propose sufficient conditions on existence, uniqueness and Ulam-Hyers stability of solutions for coupled systems of fractional nabla difference equations with anti-periodic boundary conditions, by using fixed point theorems. We also support these results through a couple of examples.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"7 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":"135844176","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
Regularity of Semigroups in Terms of Hybrid Ideals and Hybrid Bi-Ideals 关于混合理想和混合双理想的半群的正则性
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.857e
B. Elavarasan, Young Bae Jun
{"title":"Regularity of Semigroups in Terms of Hybrid Ideals and Hybrid Bi-Ideals","authors":"B. Elavarasan, Young Bae Jun","doi":"10.46793/kgjmat2206.857e","DOIUrl":"https://doi.org/10.46793/kgjmat2206.857e","url":null,"abstract":"In this paper, we establish some equivalent conditions for a semigroup to be regular and intra-regular, in terms of hybrid ideals and hybrid bi-ideals. We also characterize the left and right simple and the completely regular semigroups utilizing hybrid ideals and hybrid bi-ideals. We show that a semigroup S is left simple if and only if it is hybrid left simple. We also prove that if a semigroup S is intra-regular, then for each hybrid ideal ˜jµ of S, we have ˜jµ(r1r2) = ˜jµ(r2r1) for all r1, r2 ∈ S.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45366628","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: 15
A General Approach To Chain Condition in BL-Algebras BL代数中链条件的一种通用方法
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.959k
Jamal Kazemiasl, F. K. Haghani, S. Heidarian
{"title":"A General Approach To Chain Condition in BL-Algebras","authors":"Jamal Kazemiasl, F. K. Haghani, S. Heidarian","doi":"10.46793/kgjmat2206.959k","DOIUrl":"https://doi.org/10.46793/kgjmat2206.959k","url":null,"abstract":"In this paper, we present a general definition of the notion of Noetherian and Artinian BL-algebra and present a more comprehensive insight at the chain conditions in BL-algebras. We derive some theorems which generalize the existence results. We give an axiomatic approach to the notion of being Noetherian and Artinian, which is also applicable to other algebraic structures. We use a theoretical approach to define arithmetic notion that is also possible for other algebraic devices. In this study, we only focus to BL-algebras.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43354041","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
Shifted Gegenbauer-Gauss Collocation Method for Solving Fractional Neutral Functional-Differential Equations with Proportional Delays 求解具有比例时滞的分数中立型泛函微分方程的移位Gegenbauer-Gauss配点法
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.981h
R. Hafez, Youssri Hassan Youssri
{"title":"Shifted Gegenbauer-Gauss Collocation Method for Solving Fractional Neutral Functional-Differential Equations with Proportional Delays","authors":"R. Hafez, Youssri Hassan Youssri","doi":"10.46793/kgjmat2206.981h","DOIUrl":"https://doi.org/10.46793/kgjmat2206.981h","url":null,"abstract":"In this paper, the shifted Gegenbauer-Gauss collocation (SGGC) method is applied to fractional neutral functional-differential equations with proportional delays. The technique we have used is based on shifted Gegenbauer polynomials and Gauss quadrature integration. The shifted Gegenbauer-Gauss method reduces solving the generalized fractional pantograph equation fractional neutral functional-differential equations to a system of algebraic equations. Reasonable numerical results are obtained by selecting few shifted Gegenbauer-Gauss collocation points. Numerical results demonstrate its accuracy, and versatility of the proposed techniques.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42097548","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: 17
Total Absolute Difference Edge Irregularity Strength of Graphs 图的全绝对差边不规则强度
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.895r
R. Ramalakshmi, K. Kathiresan
{"title":"Total Absolute Difference Edge Irregularity Strength of Graphs","authors":"R. Ramalakshmi, K. Kathiresan","doi":"10.46793/kgjmat2206.895r","DOIUrl":"https://doi.org/10.46793/kgjmat2206.895r","url":null,"abstract":"We introduce a new graph characteristic, the total absolute difference edge irregularity strength. We obtain the estimation on the total absolute difference edge irregularity strength and determine the precise values for some families of graphs.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49352527","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
Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces Banach空间中具有Dirichlet边界条件的非线性序列Caputo和Caputo- hadamard分数阶微分方程
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.841d
C. Derbazi
{"title":"Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces","authors":"C. Derbazi","doi":"10.46793/kgjmat2206.841d","DOIUrl":"https://doi.org/10.46793/kgjmat2206.841d","url":null,"abstract":"This paper is devoted to the existence of solutions for certain classes of nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with Dirichlet boundary conditions in Banach spaces. Moreover, our analysis is based on Darbo’s fixed point theorem in conjunction with the technique of Hausdorff measure of noncompactness. An example is also presented to illustrate the effectiveness of the main results.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588785","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
Numerical Solution of Shrödinger Equations Based on the Meshless Methods 基于无网格法的Shrödinger方程数值解
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.929r
M. Rahimi, S. Karbassi, M. R. Hooshmandasl
{"title":"Numerical Solution of Shrödinger Equations Based on the Meshless Methods","authors":"M. Rahimi, S. Karbassi, M. R. Hooshmandasl","doi":"10.46793/kgjmat2206.929r","DOIUrl":"https://doi.org/10.46793/kgjmat2206.929r","url":null,"abstract":"In this work, two-dimensional time-dependent quantum equation problems are studied. We introduce a numerical algorithm for solving the two-dimensional nonlinear complex quantum system with MLS and FDM methods. An efficient and accurate computational algorithm based on both, the moving least squares (MLS) and the finite difference (FDM) methods is proposed for solving it. The results demonstrate that the proposed algorithm is a robust algorithm with good accuracy. This is developed on MLS and FDM methods using numerical simulation for solving these kind of problems.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43502037","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
Stability of Cauchy-Jensen Type Functional Equation in (2, α)–Banach Spaces (2， α) -Banach空间中Cauchy-Jensen型泛函方程的稳定性
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.905s
K. Y. N. Sayar, A. Bergam
{"title":"Stability of Cauchy-Jensen Type Functional Equation in (2, α)–Banach Spaces","authors":"K. Y. N. Sayar, A. Bergam","doi":"10.46793/kgjmat2206.905s","DOIUrl":"https://doi.org/10.46793/kgjmat2206.905s","url":null,"abstract":"In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation fx+y 2+fx−y 2=f(x) in (2,α)-Banach spaces using Brzd¸ek and Ciepliński’s fixed point approach.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46185904","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
k-TYPE BI-NULL CARTAN SLANT HELICES IN R6 2 R6 2中的k-型双零CARTAN算子
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI: 10.46793/kgjmat2206.919u
A. Uçum, K. Ilarslan
{"title":"k-TYPE BI-NULL CARTAN SLANT HELICES IN R6 2","authors":"A. Uçum, K. Ilarslan","doi":"10.46793/kgjmat2206.919u","DOIUrl":"https://doi.org/10.46793/kgjmat2206.919u","url":null,"abstract":"In the present paper, we give the notion of k-type bi-null Cartan slant helices in R6 2, where k ∈ {1,2,3,4,5,6}. We give the necessary and sufficient conditions for bi-null Cartan curves to be k-type slant helices in terms of their curvature functions.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45967583","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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