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Sum Connectivity Index Under the Cartesian and Strong Products Graph of Monogenic Semigroup 单基因半群的笛卡尔强积图下的和连通性指数
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-29 DOI: 10.28924/2291-8639-21-2023-94
R. Rajadurai, G. Sheeja
{"title":"Sum Connectivity Index Under the Cartesian and Strong Products Graph of Monogenic Semigroup","authors":"R. Rajadurai, G. Sheeja","doi":"10.28924/2291-8639-21-2023-94","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-94","url":null,"abstract":"This field’s main feature is to implement the sum connectivity index method. This sum connectivity index method can solve the monogenic semigroups under the cartesian and strong products. We will define for an undirected graph as SCI(GMS)=Σuv∈E(GMS) [dGMS(u)+dGMS(v)]−1/2, where dGMS(u) and dGMS(v) are degree of u and v in GMS respectively. Further, we investigate two different algorithms concerning topological index for computing cartesian and strong products of a monogenic semigroup with a detailed example.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48875900","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
Transmission Problem Between Two Herschel-Bulkley Fluids in a Three Dimensional Thin Layer 两种Herschel-Bulkley流体在三维薄层中的传输问题
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-22 DOI: 10.28924/2291-8639-21-2023-91
S. Saf, F. Messelmi
{"title":"Transmission Problem Between Two Herschel-Bulkley Fluids in a Three Dimensional Thin Layer","authors":"S. Saf, F. Messelmi","doi":"10.28924/2291-8639-21-2023-91","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-91","url":null,"abstract":"The paper is devoted to the study of steady-state transmission problem between two Herschel-Bulkley fluids in a three dimensional thin layer.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49653921","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
Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula 基于改进分数式的乳腺癌免疫化疗分数阶数学模型的数值解
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-16 DOI: 10.28924/2291-8639-21-2023-89
Ma’mon Abu Hammad, I. Jebril, Shameseddin Alshorm, I. Batiha, Nancy Abu Hammad
{"title":"Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula","authors":"Ma’mon Abu Hammad, I. Jebril, Shameseddin Alshorm, I. Batiha, Nancy Abu Hammad","doi":"10.28924/2291-8639-21-2023-89","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-89","url":null,"abstract":"Cancer is a complex and diverse group of diseases characterized by the uncontrolled growth and spread of abnormal cells in the body. Tumors, which are commonly associated with cancer, refer to abnormal masses of tissue that can develop in various organs or tissues. Cancer can arise from almost any cell type in the body and can affect different organs and systems. The disease occurs when the normal processes of cell division and growth go awry, leading to the formation of malignant tumors. These tumors have the potential to invade nearby tissues and spread to distant parts of the body through a process known as metastasis. In this paper, we aim to present a numerical solution for a recent fractional-order model related to Immune-Chemotherapeutic Treatment for Breast Cancer (ICT) using a novel numerical scheme called the Modified Fractional Euler Method (MFEM). We will also compare our proposed scheme with the traditional numerical scheme, Fractional Euler Method (FEM), through numerical simulations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69253918","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
Upper and Lower Weakly α-*-Continuous Multifunctions 上下弱α-*-连续泛函
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-16 DOI: 10.28924/2291-8639-21-2023-90
C. Boonpok, P. Pue-on
{"title":"Upper and Lower Weakly α-*-Continuous Multifunctions","authors":"C. Boonpok, P. Pue-on","doi":"10.28924/2291-8639-21-2023-90","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-90","url":null,"abstract":"This paper deals with the concepts of upper and lower weakly α-*-continuous multifunctions. Moreover, some characterizations of upper and lower weakly α-*-continuous multifunctions are investigated. Furthermore, the relationships between almost α-*-continuity and weak α-*-continuity are discussed.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49274708","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 Symbolic Algorithm for Solving Doubly Bordered k-Tridiagonal Interval Linear Systems 求解双边界k-三对角区间线性系统的符号算法
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-16 DOI: 10.28924/2291-8639-21-2023-87
Sivakumar Thirupathi, Nirmala Thamaraiselvan
{"title":"A Symbolic Algorithm for Solving Doubly Bordered k-Tridiagonal Interval Linear Systems","authors":"Sivakumar Thirupathi, Nirmala Thamaraiselvan","doi":"10.28924/2291-8639-21-2023-87","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-87","url":null,"abstract":"Doubly bordered k-tridiagonal interval linear systems play a crucial role in various mathematical and engineering applications where uncertainty is inherent in the system’s parameters. In this paper, we propose a novel symbolic algorithm for solving such systems efficiently. Our approach combines symbolic computation techniques with interval arithmetic to provide rigorous solutions in the form of tight interval enclosures. By exploiting the tridiagonal structure and employing a divide-and-conquer strategy, our algorithm achieves significantly reduced computational complexity compared to existing numerical methods. We also present theoretical analysis and provide numerical experiments to demonstrate the effectiveness and accuracy of our algorithm. The proposed symbolic algorithm offers a valuable tool for handling doubly bordered k-tridiagonal interval linear systems and opens up possibilities for addressing uncertainty in real-world problems with improved efficiency and reliability.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46101986","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
Some Properties of Generalized (Λ, α)-Closed Sets 广义(Λ， α)-闭集的一些性质
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-16 DOI: 10.28924/2291-8639-21-2023-88
C. Boonpok, M. Thongmoon
{"title":"Some Properties of Generalized (Λ, α)-Closed Sets","authors":"C. Boonpok, M. Thongmoon","doi":"10.28924/2291-8639-21-2023-88","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-88","url":null,"abstract":"The aim of this paper is to introduce the concept of generalized (Λ, α)-closed sets. Moreover, we investigate some characterizations of Λα-T1/2 -spaces, (Λ, α)-normal spaces and (Λ, α)-regular spaces by utilizing generalized (Λ, α)-closed sets.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45636240","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
Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems Sturm-Liouville特征值问题谱解的数值计算
International Journal of Analysis and Applications Pub Date : 2023-08-09 DOI: 10.28924/2291-8639-21-2023-86
Sameh Gana
{"title":"Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems","authors":"Sameh Gana","doi":"10.28924/2291-8639-21-2023-86","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-86","url":null,"abstract":"This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably rescaled Chebyshev points. We are concerned with the computation of high-order eigenvalues of Sturm-Liouville problems using an effective method of discretization based on the Chebfun software algorithms with domain truncation. We solve some numerical Sturm-Liouville eigenvalue problems and demonstrate the efficiency of computations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135696751","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 Prime E-ideals of Almost Distributive Lattices 关于概分配格的素数e理想
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-09 DOI: 10.28924/2291-8639-21-2023-85
N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan
{"title":"On Prime E-ideals of Almost Distributive Lattices","authors":"N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan","doi":"10.28924/2291-8639-21-2023-85","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-85","url":null,"abstract":"In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL. Finally, topological investigations are performed on prime E-ideals and minimal prime E-ideals.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47938613","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 M∗-Irresolute Topological Rings 关于M*-不可解拓扑环
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-09 DOI: 10.28924/2291-8639-21-2023-84
Shallu Sharma, Naresh Digra, Pooja Saproo, Tsering Landol
{"title":"On M∗-Irresolute Topological Rings","authors":"Shallu Sharma, Naresh Digra, Pooja Saproo, Tsering Landol","doi":"10.28924/2291-8639-21-2023-84","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-84","url":null,"abstract":"The main aim of this paper is to introduce and study the new notions namely M∗-irresolute topological rings and M∗-irresolute topological R-modules by virtue of M∗-open sets. Examples of an M∗-irresolute topological ring and module have been put forth. Further, we provide several fundamental properties and characterizations of M∗-irresolute topological rings and M∗-irresolute topological R-modules. In addition, we shall define boundedness in these two structures and present several results on them.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42548995","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 Class of Tests for Testing Better Failure Rate at Specific Age Distribution With Randomly Right Censored Data 用随机右截尾数据检验特定年龄分布下较好的失效率的一类检验
IF 1
International Journal of Analysis and Applications Pub Date : 2023-08-04 DOI: 10.28924/2291-8639-21-2023-80
G. R. Elkahlout
{"title":"A Class of Tests for Testing Better Failure Rate at Specific Age Distribution With Randomly Right Censored Data","authors":"G. R. Elkahlout","doi":"10.28924/2291-8639-21-2023-80","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-80","url":null,"abstract":"A device has a better failure rate at specific age t0 property, denoted by BFR-t0 if its failure rate r(t) increases for t≤t0 and for t>t0, r(t) is not less than its value at t0. A test statistic is proposed to test exponentiality versus BFR-t0 based on a randomly right censored sample of size n. Kaplan-Meier estimator is used to estimate the empirical life distribution. Properties of the test are measured by power estimates, estimated risks, and test of normality. The efficiency loss due to censoring is investigated by using tests for censored sample data.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44742092","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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