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Numerical solution of the conformable fractional diffusion equation 适形分数扩散方程的数值解
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3669
H. Yaslan
{"title":"Numerical solution of the conformable fractional diffusion equation","authors":"H. Yaslan","doi":"10.18514/mmn.2022.3669","DOIUrl":"https://doi.org/10.18514/mmn.2022.3669","url":null,"abstract":"In this paper, a numerical approach for solving space-time fractional diffusion equation with variable coefficients is proposed. The fractional derivatives are described in the conformable sense. The numerical approach is based on shifted Chebyshev polynomials of the second kind. The space-time fractional diffusion equation with variable coefficients is reduced to a system of ordinary differential equations by using the properties of Chebyshev polynomials. The finite difference method is applied to solve this system of equations. Numerical results are provided to verify the accuracy and efficiency of the proposed approach.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68201844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multiple solutions for a fractional p&q-Laplacian system involving Hardy-Sobolev exponent 含Hardy-Sobolev指数的分数阶p&q- laplace系统的多重解
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3926
Tiantian Zheng, Chunyan Zhang, Jihui Zhang
{"title":"Multiple solutions for a fractional p&q-Laplacian system involving Hardy-Sobolev exponent","authors":"Tiantian Zheng, Chunyan Zhang, Jihui Zhang","doi":"10.18514/mmn.2022.3926","DOIUrl":"https://doi.org/10.18514/mmn.2022.3926","url":null,"abstract":"In this paper, we prove the existence of infinitely many solutions for a fractional p&q-Laplacian system involving Hardy-Sobolev exponents and obtain new conclusion under different conditions. The methods used here are based on variational methods and LjusternikSchnirelmann theory.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68203261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geodesic ball packings generated by regular prism tilings in Nil geometry 在零几何中由规则的棱镜平铺产生的测地线球填料
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.2959
Benedek Schultz, J. Szirmai
{"title":"Geodesic ball packings generated by regular prism tilings in Nil geometry","authors":"Benedek Schultz, J. Szirmai","doi":"10.18514/mmn.2022.2959","DOIUrl":"https://doi.org/10.18514/mmn.2022.2959","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68199710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Locally generated Hermitian C1-splines on triangular meshes 局部生成的三角形网格上的厄米氏c1样条
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3399
L. Stachó
{"title":"Locally generated Hermitian C1-splines on triangular meshes","authors":"L. Stachó","doi":"10.18514/mmn.2022.3399","DOIUrl":"https://doi.org/10.18514/mmn.2022.3399","url":null,"abstract":"We classify all possible local linear procedures on triangular meshes resulting in polynomial C1-spline functions with affinely uniform shape conditions for the basic functions at the edges, and fitting the 9 value and gradient data at the vertices of the mesh triangles. There is a unique procedure among them with shape functions and basic polynomials of degree 5 and all other admissible procedures are its perturbations with higher degree.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Local existence and blow up for p-Laplacian equation with logarithmic nonlinearity 具有对数非线性的p-拉普拉斯方程的局部存在性与爆破
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3490
Nazlı Irkıl, E. Pişkin
{"title":"Local existence and blow up for p-Laplacian equation with logarithmic nonlinearity","authors":"Nazlı Irkıl, E. Pişkin","doi":"10.18514/mmn.2022.3490","DOIUrl":"https://doi.org/10.18514/mmn.2022.3490","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Common terms of Tribonacci and Perrin sequences Tribonacci和Perrin序列的常用项
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3611
Abdullah Açikel, N. Irmak
{"title":"Common terms of Tribonacci and Perrin sequences","authors":"Abdullah Açikel, N. Irmak","doi":"10.18514/mmn.2022.3611","DOIUrl":"https://doi.org/10.18514/mmn.2022.3611","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence and nonexistence of positive solutions for the second-order m-point eigenvalue impulsive boundary value problem 二阶m点特征值脉冲边值问题正解的存在性与不存在性
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3767
D. Oz, I. Karaca
{"title":"Existence and nonexistence of positive solutions for the second-order m-point eigenvalue impulsive boundary value problem","authors":"D. Oz, I. Karaca","doi":"10.18514/mmn.2022.3767","DOIUrl":"https://doi.org/10.18514/mmn.2022.3767","url":null,"abstract":"This paper is devoted to the study of the existence and nonexistence of positive solutions for a second-order m-point eigenvalue impulsive boundary value problem. We use the fixed point theorems on the cones in order to achieve our results.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68202713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On e-Convexity 在e-Convexity
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.2467
M. H. Alizadeh, J. Makó
{"title":"On e-Convexity","authors":"M. H. Alizadeh, J. Makó","doi":"10.18514/mmn.2022.2467","DOIUrl":"https://doi.org/10.18514/mmn.2022.2467","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68199150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Solution of complex differential equations with variable coefficients by using reduced differential transform 用微分约简变换求解变系数复微分方程
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3442
M. Düz
{"title":"Solution of complex differential equations with variable coefficients by using reduced differential transform","authors":"M. Düz","doi":"10.18514/mmn.2022.3442","DOIUrl":"https://doi.org/10.18514/mmn.2022.3442","url":null,"abstract":"In this article, solution of complex partial derivative equations with variable coefficients from the first and second order have been investigated. For this solution, an iteration relation was obtained using the reduced differential transform method. This method also was been applied for ordinary complex differential equations which examined in the literature. The solution which has been obtained has been seen compatible with the literature.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deferred Cesaro statistical convergence of martingale sequence and Korovkin-type approximation theorems 鞅序列的延迟Cesaro统计收敛性及korovkin型逼近定理
IF 0.9 4区 数学
Miskolc Mathematical Notes Pub Date : 2022-01-01 DOI: 10.18514/mmn.2022.3624
H. Srivastava, B. Jena, S. K. Paikray
{"title":"Deferred Cesaro statistical convergence of martingale sequence and Korovkin-type approximation theorems","authors":"H. Srivastava, B. Jena, S. K. Paikray","doi":"10.18514/mmn.2022.3624","DOIUrl":"https://doi.org/10.18514/mmn.2022.3624","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68200895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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