发布求助
文献互助 智能选刊 最新文献

Journal of Mathematical Extension最新文献

筛选
英文 中文
On a $k$-dimensional system of hybrid fractional differential equations with multi-point boundary conditions 具有多点边界条件的$k$维混合分数微分方程组
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-07-07 DOI: 10.30495/JME.V15I0.2065
S. M. Aydoǧan
{"title":"On a $k$-dimensional system of hybrid fractional differential equations with multi-point boundary conditions","authors":"S. M. Aydoǧan","doi":"10.30495/JME.V15I0.2065","DOIUrl":"https://doi.org/10.30495/JME.V15I0.2065","url":null,"abstract":"The Sturm-Liouville fraction equations have considerable role applications in some different phenomena such as mechanical and electrical engineering, medicine and physics. Thus, it is better we review different versions of this equation. We study a $k$-dimensional system of Sturm-Liouville hybrid equations y using the $alpha$-admissible method. We investigate the existence of solutions for the $k$-dimensional system of hybrid equations with some multi-point boundary value conditions. We provide an example to illustrate our main result.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49642614","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
A semi-analytical solutions of fractional Riccati's differential equation via singular and non-singular operators 分数阶Riccati微分方程的奇异算子和非奇异算子半解析解
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-07-07 DOI: 10.30495/JME.V15I0.1917
Mohammad Adabitabar Firozja, B. Agheli
{"title":"A semi-analytical solutions of fractional Riccati's differential equation via singular and non-singular operators","authors":"Mohammad Adabitabar Firozja, B. Agheli","doi":"10.30495/JME.V15I0.1917","DOIUrl":"https://doi.org/10.30495/JME.V15I0.1917","url":null,"abstract":"Looking for offer a solution of the  Riccati's differential equations of fractional order (FRDEs) involving Caputo derivative (CD), Caputo-Fabrizio derivative (CFD) or Atangana-Baleanu  derivative (ABD) in this comparative research is based on  a semi-analytical iterative approach. Temimi and  Ansari  introduced this method and called it  TAM. The comparison of the time used in minutes is given for three derivatives  CD,  CFD  and  ABD. Meanwhile, the comparison of the approximate solutions with  CD, CFD and ABD  are presented. Regarding the help of the  software  Mathematica, all the results have been obtained and the calculations have been done.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48040988","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
The stability and convergence of the numerical computation for the temporal fractional Black–Scholes equation 时间分数阶Black-Scholes方程数值计算的稳定性和收敛性
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-07-06 DOI: 10.30495/JME.V15I0.1991
H. Mesgarani, Masod Bakhshandeh, Yones Esmaeelzade
{"title":"The stability and convergence of the numerical computation for the temporal fractional Black–Scholes equation","authors":"H. Mesgarani, Masod Bakhshandeh, Yones Esmaeelzade","doi":"10.30495/JME.V15I0.1991","DOIUrl":"https://doi.org/10.30495/JME.V15I0.1991","url":null,"abstract":"In this paper‎, ‎the temporal fractional Black–Scholes model (TFBSM) is discussed in the limited specific domain which the time derivative of this template‎ ‎is the Caputo fractional function‎. ‎The value variance of the associated fractal transmission method was applied to forecast TFBSM‎. ‎For solving‎, ‎at first the semi-discrete scheme is obtained by using linear interpolation with a temporally $tau^{2-alpha}$ order accuracy‎. ‎Then‎, ‎the full scheme is collected by approximating the spatial derivative terms by helping‎ ‎the Chebyshev collocation system focused on the fourth form‎. ‎Finally‎, ‎the unconditional stability and convergence order is evaluated by performing the energy process‎. ‎As an implementation of this method‎, ‎two examples of the‎ ‎TFBSM was reported to demonstrate the accuracy of the developed scheme‎. ‎Calculation simulation and comparison show that the suggested strategy is very accurate and effective.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47462059","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 modified Picard iteration method to solve fractional optimal control problems 一种改进的Picard迭代法求解分数阶最优控制问题
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-07-06 DOI: 10.30495/JME.V15I0.1971
A. Ghorbani
{"title":"A modified Picard iteration method to solve fractional optimal control problems","authors":"A. Ghorbani","doi":"10.30495/JME.V15I0.1971","DOIUrl":"https://doi.org/10.30495/JME.V15I0.1971","url":null,"abstract":"An effective modified of the Picard iteration method ( PIM ) is presented for solving the linear and nonlinear fractional optimal control problems ( FOCP ) in the Caputo sense. Here, the control function is first approximated by a finite series with unknown coefficients. Then the modified PIM is utilized to simulate the resulting fractional equations. Finally, the unknown coefficients could be computed by applying an optimization procedure. Some test examples are given to show the accuracy and validity of the method.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48594662","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 Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition 单调条件下模糊微分方程的存在唯一性
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-07-05 DOI: 10.30495/JME.V0I0.1752
N. Ahmady, Samira Siah mansori, M. Gachpazan
{"title":"On the Existence and Uniqueness of Fuzzy Differential Equations with Monotone Condition","authors":"N. Ahmady, Samira Siah mansori, M. Gachpazan","doi":"10.30495/JME.V0I0.1752","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1752","url":null,"abstract":"This paper seeks to investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu's process. To this end, we provide andprove a novel existence and uniqueness theorem for fuzzy differential equations under Local Lipschitz and monotone conditions. This result allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Liu's process. To illustrate the main advantage of the approach some examples are finally given.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44084802","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
Existence of solution for a class of fractional problems with sign-changing functions 一类具有变号函数的分式问题解的存在性
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-07-04 DOI: 10.30495/JME.V15I0.2008
F. M. Yaghoobi, J. Shamshiri
{"title":"Existence of solution for a class of fractional problems with sign-changing functions","authors":"F. M. Yaghoobi, J. Shamshiri","doi":"10.30495/JME.V15I0.2008","DOIUrl":"https://doi.org/10.30495/JME.V15I0.2008","url":null,"abstract":"Here we study the existence and multiplicity of solutions for the ‎following‎ ‎fractional‎‎ problem‎ ‎$$‎ ‎(-Delta)_p^s u+a(x) |u|^‎{‎‎p‎-2} ‎u‎= f(x,u)‎, ‎$$‎ ‎with ‎the ‎Dirichlet‎ boundary condition $u=0$ on $partialOmega$‎ ‎where $Omega$ is a bounded domain with smooth boundary‎, ‎$pgeq 2$‎,‎ $sin(0,1)$ and ‎‎$‎a(x)‎‎$‎ ‎is a‎ sign-changing ‎function.‎ ‎Moreover, we consider two different assumptions on the ‎function‎ $‎f(x,u)‎$‎, ‎including the cases of nonnegative and sign-changing ‎function.‎‎","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47474474","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
An improvement of the upper bound on the entropy of information sources 信息源熵上界的改进
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-06-24 DOI: 10.30495/JME.V15I0.1976
Y. Sayyari
{"title":"An improvement of the upper bound on the entropy of information sources","authors":"Y. Sayyari","doi":"10.30495/JME.V15I0.1976","DOIUrl":"https://doi.org/10.30495/JME.V15I0.1976","url":null,"abstract":"Theory of zeta functions and fractional calculus plays an important role in the statistical problems and Shannon's entropy. Estimation of Shannon's entropies of information sources from numerical simulation of long orbits is difficult. Our aim within this paper is to present a strong upper bound for the Shannon's entropy of information sources.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43285088","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
On relative deficiencies of difference polynomials from the view point of integrated moduli of logarithmic derivative 从对数导数的积分模看差分多项式的相对缺陷
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-06-15 DOI: 10.30495/JME.V0I0.1726
S. Datta, S. Sarkar, G. Chakraborty, Arghyatanu Manna
{"title":"On relative deficiencies of difference polynomials from the view point of integrated moduli of logarithmic derivative","authors":"S. Datta, S. Sarkar, G. Chakraborty, Arghyatanu Manna","doi":"10.30495/JME.V0I0.1726","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1726","url":null,"abstract":"Let  be a transcendental entire function defined in the open complex plane ℂ. A difference-monomial generated by . Now for the sake of definiteness let us take a difference-polynomial generated by . In this paper we compare the Valiron defect with the relative Nevanlinna defect of a particular type of differential-difference polynomial generated by a transcendental entire function with respect to integrated moduli of logarithmic derivative. Some examples are provided in order to justify the results obtained.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43155310","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
Cost Efficiency Estimation in Network DEA in the Case of Varying Input Prices 投入价格变化情况下网络DEA的成本效率估计
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-05-24 DOI: 10.30495/JME.V0I0.1467
Masoomeh Hajiani, R. Fallahnejad
{"title":"Cost Efficiency Estimation in Network DEA in the Case of Varying Input Prices","authors":"Masoomeh Hajiani, R. Fallahnejad","doi":"10.30495/JME.V0I0.1467","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1467","url":null,"abstract":"Just like estimating cost efficiency in the usual DEA, it is important to calculate cost efficiency in DMUs with the DEA network. In the existing models, it is assumed that the input prices are the same for all the DMUs. The present paper is aimed to introduce a model for cost efficiency evaluation in DMUs with network structure with different input prices. Subsequently, the proposed network cost efficiency will be decomposed into network allocative, price, and technical efficiencies.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42705351","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
New results on the minimum edge dominating energy of a graph 关于图的最小边支配能的新结果
IF 0.5
Journal of Mathematical Extension Pub Date : 2021-04-30 DOI: 10.30495/JME.V0I0.1627
F. Movahedi, M. Akhbari
{"title":"New results on the minimum edge dominating energy of a graph","authors":"F. Movahedi, M. Akhbari","doi":"10.30495/JME.V0I0.1627","DOIUrl":"https://doi.org/10.30495/JME.V0I0.1627","url":null,"abstract":"Let G be a graph with n vertices and m edges. The min-imum edge dominating energy is dened as the sum of the absolutevalues of eigenvalues of the minimum edge dominating matrix of thegraph G. In this paper, some lower and upper bounds for the minimumedge dominating energy of the graph G are established.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":"61 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70077026","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信