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SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger's Equations 符合时空分数(2+1)维破缺孤子的SITEM，三阶KdV和Burger方程
Mathematical Sciences and Applications E-Notes Pub Date : 2021-10-01 DOI: 10.36753/mathenot.734019
H. Yaslan
{"title":"SITEM for the Conformable Space-Time Fractional (2+1)-Dimensional Breaking Soliton, Third-Order KdV and Burger's Equations","authors":"H. Yaslan","doi":"10.36753/mathenot.734019","DOIUrl":"https://doi.org/10.36753/mathenot.734019","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125231961","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
Decay Estimate for the Time-Delayed Fourth-Order Wave Equations 时滞四阶波动方程的衰减估计
Mathematical Sciences and Applications E-Notes Pub Date : 2021-09-30 DOI: 10.36753/mathenot.777927
M. Meyvaci
{"title":"Decay Estimate for the Time-Delayed Fourth-Order Wave Equations","authors":"M. Meyvaci","doi":"10.36753/mathenot.777927","DOIUrl":"https://doi.org/10.36753/mathenot.777927","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132468019","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
Regularization of $p$-Adic Distributions Associated to Functions on $p$-Adic Fields With Moderate Variation 中等变化$p$-Adic域上函数的$p$-Adic分布的正则化
Mathematical Sciences and Applications E-Notes Pub Date : 2021-03-22 DOI: 10.36753/MATHENOT.794789
A. Erdoğan
{"title":"Regularization of $p$-Adic Distributions Associated to Functions on $p$-Adic Fields With Moderate Variation","authors":"A. Erdoğan","doi":"10.36753/MATHENOT.794789","DOIUrl":"https://doi.org/10.36753/MATHENOT.794789","url":null,"abstract":"The $p$-adic distributions attached to ordinary functions defined on $p$-adic fields with moderate variation are studied. We first give a sufficient growth condition on ordinary functions to construct $p$-adic distributions. Then a moderate variation condition on functions for regularization of these $p$-adic distributions is imposed which provides a general method to construct $p$-adic measures. The $p$-adic integrals against these measures are also explicitly transformed to integrals against Bernoulli measures.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132747377","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
Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach 用解析法研究若干非线性发展方程的精确解
Mathematical Sciences and Applications E-Notes Pub Date : 2021-03-22 DOI: 10.36753/MATHENOT.626461
Meryem Odabasi
{"title":"Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach","authors":"Meryem Odabasi","doi":"10.36753/MATHENOT.626461","DOIUrl":"https://doi.org/10.36753/MATHENOT.626461","url":null,"abstract":"This study investigates exact analytical solutions of some nonlinear partial differential equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov equation, the ZK-BBM equation and the Gardner equation have been considered. With the implementation of the trial solution algorithm, solitary wave, bright, dark and periodic exact traveling wave solutions of the considered equations have been attained. The solutions have been checked and graphs have been given via package programs to see the behavior of the waves.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126048176","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
Numerical Investigation of Modified Fornberg Whitham Equation 修正Fornberg Whitham方程的数值研究
Mathematical Sciences and Applications E-Notes Pub Date : 2021-03-22 DOI: 10.36753/MATHENOT.778766
Murat Yağmurlu, E. Yildiz, Y. Uçar, A. Esen
{"title":"Numerical Investigation of Modified Fornberg Whitham Equation","authors":"Murat Yağmurlu, E. Yildiz, Y. Uçar, A. Esen","doi":"10.36753/MATHENOT.778766","DOIUrl":"https://doi.org/10.36753/MATHENOT.778766","url":null,"abstract":"The aim of this study is to obtain numerical solutions of the modified Fornberg Whitham equation via collocation finite element method combined with operator splitting method. The splitting method is used to convert the original equation into two sub equations including linear and nonlinear part of the equation as a slight modification of splitting idea. After splitting progress, collocation method is used to reduce the sub equations into algebraic equation systems. For this purpose, quintic B-spline base functions are used as a polynomial approximation for the solution. The effectiveness and efficiency of the method and accuracy of the results are measured with the error norms $L_{2}$ and $L_{infty}$. The presentations of the numerical results are shown by graphics as well.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122814957","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
Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation 时空分数对称正则长波方程的Jacobi椭圆函数解
Mathematical Sciences and Applications E-Notes Pub Date : 2021-03-19 DOI: 10.36753/MATHENOT.688493
Sevil Çulha Ünal, Ayşegül Daşcıoğlu, Dilek Varol Bayram
{"title":"Jacobi Elliptic Function Solutions of Space-Time Fractional Symmetric Regularized Long Wave Equation","authors":"Sevil Çulha Ünal, Ayşegül Daşcıoğlu, Dilek Varol Bayram","doi":"10.36753/MATHENOT.688493","DOIUrl":"https://doi.org/10.36753/MATHENOT.688493","url":null,"abstract":"In this paper, by using a direct method based on the Jacobi elliptic functions, the exact solutions of the space-time fractional symmetric regularized long wave (SRLW) equation have been obtained. The elliptic function solutions of a nonlinear ordinary differential (auxiliary) equation $left({dF}/{d xi}right) ^{2} = PF^{4} (xi)+QF^{2} (xi) + R$ have also been examined. Besides, the solutions have been found in general form including rational, trigonometric and hyperbolic functions. Moreover, the complex valued solutions, periodic solutions, and soliton solutions, have also been gained. Some solutions have been illustrated by the graphics.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130071049","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: 8
Reciprocal Complementary Distance Energy of Complement of Line Graphs of Regular Graphs 正则图的线形图的补的互补距离能
Mathematical Sciences and Applications E-Notes Pub Date : 2021-03-01 DOI: 10.36753/MATHENOT.641660
H. Ramane, B. Parvathalu
{"title":"Reciprocal Complementary Distance Energy of Complement of Line Graphs of Regular Graphs","authors":"H. Ramane, B. Parvathalu","doi":"10.36753/MATHENOT.641660","DOIUrl":"https://doi.org/10.36753/MATHENOT.641660","url":null,"abstract":"The reciprocal complementary distance ($RCD$) matrix of a graph $G$ is defined as $RCD(G) = [r_{ij}]$, where $r_{ij} = frac{1}{1+D-d_{ij}}$ if $i neq j$ and $r_{ij} = 0$, otherwise, where $D$ is the diameter of $G$ and $d_{ij}$ is the distance between the vertices $v_i$ and $v_j$ in $G$. The $RCD$-energy of $G$ is defined as the sum of the absolute values of the eigenvalues of $RCD$-matrix. Two graphs are said to be $RCD$-equienergetic if they have same $RCD$-energy. In this paper, the $RCD$-energy of the complement of line graphs of certain regular graphs in terms of the order and degree is obtained and as a consequence, pairs of $RCD$-equienergetic graphs of same order and having different $RCD$-eigenvalues are constructed.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123044091","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 Convergence of Partial Derivatives of Multidimensional Convolution Operators 关于多维卷积算子偏导数的收敛性
Mathematical Sciences and Applications E-Notes Pub Date : 2021-02-19 DOI: 10.36753/MATHENOT.763854
G. Uysal, B. Yılmaz
{"title":"On Convergence of Partial Derivatives of Multidimensional Convolution Operators","authors":"G. Uysal, B. Yılmaz","doi":"10.36753/MATHENOT.763854","DOIUrl":"https://doi.org/10.36753/MATHENOT.763854","url":null,"abstract":"In this paper, we prove some results on convergence properties of higher order partial derivatives of multidimensional convolution-type singular integral operators being applied to the class of functions which are integrable in the sense of Lebesgue.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116313616","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
Blow up for Porous Medium Equations 放大多孔介质方程
Mathematical Sciences and Applications E-Notes Pub Date : 2021-02-19 DOI: 10.36753/MATHENOT.686065
Burhan Selçuk
{"title":"Blow up for Porous Medium Equations","authors":"Burhan Selçuk","doi":"10.36753/MATHENOT.686065","DOIUrl":"https://doi.org/10.36753/MATHENOT.686065","url":null,"abstract":"In various branches of applied sciences, porous medium equations exist where this basic model occurs in a natural fashion. It has been used to model fluid flow, chemical reactions, diffusion or heat transfer, population dynamics, etc.. Nonlinear diffusion equations involving the porous medium equations have also been extensively studied. However, there has not been much research effort in the parabolic problem for porous medium equations with two nonlinear boundary sources in the literature. This paper adresses the following porous medium equations with nonlinear boundary conditions. Firstly, we obtain finite time blow up on the boundary by using the maximum principle and blow up criteria and existence criteria by using steady state of the equation $k_{t}=k_{xx}^{n},(x,t)in (0,L)times (0,T) $with $ k_{x}^{n}(0,t)=k^{alpha }(0,t)$, $k_{x}^{n}(L,t)=k^{beta }(L,t)$,$ tin (0,T) $and initial function $kleft( x,0right) =k_{0}left( xright) $,$ xin lbrack 0,L] $where $n>1$, $alpha $and $beta $and positive constants.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115787383","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
ABSOLUTE LUCAS SPACES WITH MATRIX AND COMPACT OPERATORS 具有矩阵和紧算子的绝对Lucas空间
Mathematical Sciences and Applications E-Notes Pub Date : 2021-02-17 DOI: 10.36753/mathenot.816576
Fadime Gökçe
{"title":"ABSOLUTE LUCAS SPACES WITH MATRIX AND COMPACT OPERATORS","authors":"Fadime Gökçe","doi":"10.36753/mathenot.816576","DOIUrl":"https://doi.org/10.36753/mathenot.816576","url":null,"abstract":"The main purpose of this study is to introduce the absolute Lucas series spaces and to investigate their some algebraic and topological structure such as some inclusion relations, BK − to this space, duals and Schauder basis. Also, the characterizations of matrix operators related to these space with their norms are given. Finally, by using Hausdorff measure of noncompactness, the necessary and sufficient conditions for a matrix operator on them to be compact are obtained","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116258481","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
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