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WSEAS Transactions on Mathematics最新文献

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On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions 一类具有边界条件的非线性分数阶微分方程的解
WSEAS Transactions on Mathematics Pub Date : 2023-05-05 DOI: 10.37394/23206.2023.22.33
A. S. Silva
{"title":"On the Solutions of a Class of Nonlinear Fractional Differential Equations with Boundary Conditions","authors":"A. S. Silva","doi":"10.37394/23206.2023.22.33","DOIUrl":"https://doi.org/10.37394/23206.2023.22.33","url":null,"abstract":"In this article, we consider a class of fractional boundary value problems with Caputo fractional derivative of order α ∈ (2, 3). The existence and uniqueness of solutions are discussed and the Adomian decomposition method is proposed to obtain an approximation of the solution. Finally, an example is given to demonstrate the validity of results.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49596209","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
Multiplication Operators on Weighted Grand Lorentz Spaces with Various Properties 不同性质加权大洛伦兹空间上的乘法算子
WSEAS Transactions on Mathematics Pub Date : 2023-05-04 DOI: 10.37394/23206.2023.22.32
I. Eryilmaz
{"title":"Multiplication Operators on Weighted Grand Lorentz Spaces with Various Properties","authors":"I. Eryilmaz","doi":"10.37394/23206.2023.22.32","DOIUrl":"https://doi.org/10.37394/23206.2023.22.32","url":null,"abstract":"The concept of Lebesgue space has been generalized to the grand Lebesgue space with non-weight and weight, and the classical Lorentz space concept has been generalized to grand Lorentz spaces with a similar logic. In this study, instead of using rearrangement for a measurable function, weighted Grand Lorentz spaces are defined by using the maximal function 1<=p, q<=∞ where the weight function is measurable, complex valued, and locally bounded. In addition, multiplication operators on weighted grand Lorentz spaces are defined and the fundamental properties of these operators such as boundedness, closed range, invertibility, compactness, and closedness are characterized.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42061837","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 Solution of Equations with Linear-Fractional Shifts 关于线性分数阶位移方程的解
WSEAS Transactions on Mathematics Pub Date : 2023-04-26 DOI: 10.37394/23206.2023.22.30
A. Tarasenko, O. Karelin, M. González-Hernández, Darya Karelina
{"title":"On the Solution of Equations with Linear-Fractional Shifts","authors":"A. Tarasenko, O. Karelin, M. González-Hernández, Darya Karelina","doi":"10.37394/23206.2023.22.30","DOIUrl":"https://doi.org/10.37394/23206.2023.22.30","url":null,"abstract":"This work represents a continuation of the studies relating to nonlinear equations, carried out by the authors. Special attention is paid to the operators with linear-fractional shifts that act on the argument of the unknown function, but also on the unknown function itself. In this work, we study homogeneous equations with such operators. The main classes of functions for which non-linear equations are considered are Hölder class real functions. Solutions of the equations have the form of infinite products or the form of infinite continued fractions; an abstract description of the solutions is also offered. The developed mathematical methods can be applied to finding the conditions of invertibility of certain operators found in modelling, as well as for the construction of their inverse operators. Subsequently, we suggest using these results for the modelling of renewable systems with elements that can be in different states: sick, healthy, immune, or vaccinated. These results can also be applied to the analysis of balance equations of the model and for finding equilibrium states of the system.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44061630","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
Duality for Multiobjective Programming Problems with Equilibrium Constraints on Hadamard Manifolds under Generalized Geodesic Convexity 广义测地线凸性下具有平衡约束的Hadamard流形多目标规划问题的对偶性
WSEAS Transactions on Mathematics Pub Date : 2023-04-26 DOI: 10.37394/23206.2023.22.31
B. Upadhyay, Arnav Ghosh, I. Stancu-Minasian
{"title":"Duality for Multiobjective Programming Problems with Equilibrium Constraints on Hadamard Manifolds under Generalized Geodesic Convexity","authors":"B. Upadhyay, Arnav Ghosh, I. Stancu-Minasian","doi":"10.37394/23206.2023.22.31","DOIUrl":"https://doi.org/10.37394/23206.2023.22.31","url":null,"abstract":"This article is devoted to the study of a class of multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds (in short, (MPPEC)). We consider (MPPEC) as our primal problem and formulate two different kinds of dual models, namely, Wolfe and Mond-Weir type dual models related to (MPPEC). Further, we deduce the weak, strong as well as strict converse duality relations that relate (MPPEC) and the corresponding dual problems employing geodesic pseudoconvexity and geodesic quasiconvexity restrictions. Several suitable numerical examples are incorporated to demonstrate the significance of the deduced results. The results derived in this article generalize and extend several previously existing results in the literature.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48926642","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 New Computation Approach: ARA Decomposition Method 一种新的计算方法：ARA分解法
WSEAS Transactions on Mathematics Pub Date : 2023-04-26 DOI: 10.37394/23206.2023.22.29
Ahmad Mohammad Qazza
{"title":"A New Computation Approach: ARA Decomposition Method","authors":"Ahmad Mohammad Qazza","doi":"10.37394/23206.2023.22.29","DOIUrl":"https://doi.org/10.37394/23206.2023.22.29","url":null,"abstract":"In this study, we present a novel combination between the ARA transformation and the decomposition method, termed the ARA decomposition approach. We present the method in a simple algorithm and use it to solve nonlinear integro-differential equations. To test the efficiency of the new approach, we solve some examples and calculate the absolute errors and sketch the approximate and exact solutions.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42742478","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
Behavior of Entire Solutions of a Nonlinear Elliptic Equation with An Inhomogeneous Singular Term 一类非齐次奇异项非线性椭圆方程全解的性质
WSEAS Transactions on Mathematics Pub Date : 2023-04-13 DOI: 10.37394/23206.2023.22.28
A. Bouzelmate, Hikmat El Baghouri
{"title":"Behavior of Entire Solutions of a Nonlinear Elliptic Equation with An Inhomogeneous Singular Term","authors":"A. Bouzelmate, Hikmat El Baghouri","doi":"10.37394/23206.2023.22.28","DOIUrl":"https://doi.org/10.37394/23206.2023.22.28","url":null,"abstract":"","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45997942","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
Statistical Bochner Integral on Frechet Space Frechet空间上的统计Bochner积分
WSEAS Transactions on Mathematics Pub Date : 2023-03-30 DOI: 10.37394/23206.2023.22.27
Anita Caushi, Ervenila Musta
{"title":"Statistical Bochner Integral on Frechet Space","authors":"Anita Caushi, Ervenila Musta","doi":"10.37394/23206.2023.22.27","DOIUrl":"https://doi.org/10.37394/23206.2023.22.27","url":null,"abstract":"Probability theory including the Bochner integral is a very important part of modern mathematical concepts including the modern theory of probabilities, especially in the concept of mathematical expectation and dispersion. In this, study a statistical approach form of Bochner’s theory is given and extended, but some fundamental properties of statistical integral were previously studied in the Banach case. Our approach formulates an extended integration concept of Bochner. By using the statistical convergence on general locally convex space it is possible to obtain very similar results referring to the Frechet space type. From our results, some interesting comparable outputs to Banach space are carried out. At the end of our research, it is conducted that if a function “f” is Bochner integrable in the classic report then it is statistically Bochner integrable, but conversely, this is not true. Hence, the value of the extension of Bochner integration is a need and is the focus of our work. This extension is given by modifying the model published by Schvabik and Guoju. Mathematically it is substantiated that on the space of Frechet types the space of functions of statistical Bochner integrable is a Frechet space.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44130855","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 New Two-Parameter Lifetime Model with Statistical Properties and Applications 一种具有统计性质和应用的双参数寿命模型
WSEAS Transactions on Mathematics Pub Date : 2023-03-29 DOI: 10.37394/23206.2023.22.26
Najwan Alsadat
{"title":"A New Two-Parameter Lifetime Model with Statistical Properties and Applications","authors":"Najwan Alsadat","doi":"10.37394/23206.2023.22.26","DOIUrl":"https://doi.org/10.37394/23206.2023.22.26","url":null,"abstract":"A new lifetime distribution called the truncated Cauchy power length-biased exponential (TCP-LBEX) distribution that extends the length-biased (LBEX) model is investigated. The statistical properties of the TCP-LBEX model including the quantile function, incomplete moment, moment, and entropy are derived. The method of maximum likelihood estimation was used to estimate the parameters of the TCP-LBEX. Monto Carlo simulations are used to assess the behavior of parameters. Finally, we demonstrate applications of two real-world data sets to show the flexibility and potentiality of the proposed model.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43136192","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
Binormal Measures 副法线措施
WSEAS Transactions on Mathematics Pub Date : 2023-03-24 DOI: 10.37394/23206.2023.22.39
Emmanuel P. Smyrnelis, Panayotis Smyrnelis
{"title":"Binormal Measures","authors":"Emmanuel P. Smyrnelis, Panayotis Smyrnelis","doi":"10.37394/23206.2023.22.39","DOIUrl":"https://doi.org/10.37394/23206.2023.22.39","url":null,"abstract":"Our starting point is the measure $epsilon_x-alpha_xrho_x^{omega_1}+beta_xrho_x^{omega_2}$, where $rho_x^{omega_i}$ is the harmonic measure relative to $x in omega_1 subset overline{omega}_1 subset omega_2$ and $omega_i$ are concentric balls of $R^n$; $alpha_x$, $beta_x$ are functions depending on $x$ and on the radii of $omega_i$, $(i=1,2)$. Generalizing the above measure, we introduce and study the binormal measures as well as their relation to biharmonic functions.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45106312","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
d-Tribonacci Polynomials and Their Matrix Representations d-Tribonacci多项式及其矩阵表示
WSEAS Transactions on Mathematics Pub Date : 2023-03-23 DOI: 10.37394/23206.2023.22.25
B. Kuloğlu, E. Özkan
{"title":"d-Tribonacci Polynomials and Their Matrix Representations","authors":"B. Kuloğlu, E. Özkan","doi":"10.37394/23206.2023.22.25","DOIUrl":"https://doi.org/10.37394/23206.2023.22.25","url":null,"abstract":"In this study, we define d-Tribonacci polynomials. Some combinatorial properties of the d- Tribonacci polynomials with matrix representations are obtained with the help of Riordan arrays. In addition, d- Tribonacci number sequence, which is a new generalization of this number sequence, has been obtained by considering Pascal matrix. With the help of Pascal matrix, two kinds of factors of d-Tribonacci polynomials were found. Also, infinite d-Tribonacci polynomials matrix and the inverses of these polynomials were found.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45928410","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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