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International Journal of Analysis and Applications最新文献

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Some Subsets of Bitopological Spaces 比托谱空间的一些子集
IF 1
International Journal of Analysis and Applications Pub Date : 2023-11-13 DOI: 10.28924/2291-8639-21-2023-124
R. Rajalakshmi, C. Carpintero, N. Rajesh, E. Rosas
{"title":"Some Subsets of Bitopological Spaces","authors":"R. Rajalakshmi, C. Carpintero, N. Rajesh, E. Rosas","doi":"10.28924/2291-8639-21-2023-124","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-124","url":null,"abstract":"In this paper, we introduce the notions of minimal u-ω-closed sets, maximal u-ω-open sets, u-ω-paraopen sets, u-ω-paraclosed sets, u-ω-mean open sets and u-ω-mean closed sets in bitopological spaces and obtain several characterizations and some of its properties.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"54 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139278046","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
Solvability and Dynamical Analysis of Difference Equations 差分方程的可解性和动力学分析
IF 1
International Journal of Analysis and Applications Pub Date : 2023-11-13 DOI: 10.28924/2291-8639-21-2023-122
M. Folly-Gbetoula
{"title":"Solvability and Dynamical Analysis of Difference Equations","authors":"M. Folly-Gbetoula","doi":"10.28924/2291-8639-21-2023-122","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-122","url":null,"abstract":"We obtain symmetries of a family of difference equations and we prove a relationship between these symmetries and similarity variables. We proceed with reduction and eventually derive formula solutions of the difference equations. Furthermore, we discuss the periodic nature of the solutions and analyze the stability of the fixed points. We use Lie point symmetry analysis as our tool in obtaining the solutions. Though we have analyzed a specific family of difference equations in this paper, the algorithmic techniques presented can be utilized to tackle many other difference equations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"35 11","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139278192","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
Normal Surfaces along a Curve on a Surface in Euclidean 3-Space 欧几里得三维空间中曲面上沿曲线的法线曲面
International Journal of Analysis and Applications Pub Date : 2023-10-30 DOI: 10.28924/2291-8639-21-2023-119
M. Khalifa Saad, R. A. Abdel-Baky
{"title":"Normal Surfaces along a Curve on a Surface in Euclidean 3-Space","authors":"M. Khalifa Saad, R. A. Abdel-Baky","doi":"10.28924/2291-8639-21-2023-119","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-119","url":null,"abstract":"Curves on surfaces and their frames play an important role in differential geometry and in many branches of science such as mechanics and physics. So, we are interested in studying one of these surfaces along a curve lying on a surface. In this paper, we define a surface normal to a surface along a curve lying on a surface in Euclidean 3-space E3. Then, we analyze the necessary and sufficient conditions for that surface to be a ruled surface. Finally, we illustrate the convenience and efficiency of this approach with some representative examples.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"180 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136068151","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
Applications of Fuzzy Differential Equations on Vibrating Spring Mass System 模糊微分方程在振动弹簧质量系统中的应用
International Journal of Analysis and Applications Pub Date : 2023-10-30 DOI: 10.28924/2291-8639-21-2023-120
B. Divya, K. Ganesan
{"title":"Applications of Fuzzy Differential Equations on Vibrating Spring Mass System","authors":"B. Divya, K. Ganesan","doi":"10.28924/2291-8639-21-2023-120","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-120","url":null,"abstract":"Modelling several real-world issues in the fuzzy world extensively uses ordinary differential equations. In this paper, a mechanical vibration system with the given mass, spring constant, damping and external force is modelled as a second-order ordinary differential equation. Due to measurement errors, the initial displacement of the string is approximate and assumed to be a fuzzy number. A fuzzy version of the Sumudu transform procedure is used to figure out this vibrating spring-mass system with fuzzy initial displacement. The output is displayed as a table at various computational stages. The consequences are visibly presented diagrammatically for different values of r and t. There is a good agreement between the computed results and the analytical solution.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"73 12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136067787","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
Exploring the Remarkable Properties of the Double Sadik Transform and Its Applications to Fractional Caputo Partial Differential Equations 探讨重Sadik变换的显著性质及其在分数阶Caputo偏微分方程中的应用
International Journal of Analysis and Applications Pub Date : 2023-10-30 DOI: 10.28924/2291-8639-21-2023-118
Prapart Pue-on
{"title":"Exploring the Remarkable Properties of the Double Sadik Transform and Its Applications to Fractional Caputo Partial Differential Equations","authors":"Prapart Pue-on","doi":"10.28924/2291-8639-21-2023-118","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-118","url":null,"abstract":"The Double Sadik Transform (DST) represents a generalized double integral transform that has emerged as a highly effective analytical technique for solving numerous scientific problems. This study aims to investigate the DST applied to elementary functions and explore its notable properties, including its duality with the Double Laplace Transform and its capability to transform shifting functions, periodic functions, and convolution functions. Furthermore, the DST methodology is employed to resolve prominent linear fractional Caputo partial differential equations with known solutions commonly encountered in diverse mathematical models. The obtained outcomes are expressed in exact closed form, with the most precise results articulated through the Mittag-Leffler function. These results serve to validate the effectiveness and efficiency of the DST approach, establishing it as a valuable tool for addressing scientific problems involving fractional calculus.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136103479","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 Three-Step Iterative Scheme Based on Green's Function for the Solution of Boundary Value Problems 边值问题求解的一种基于格林函数的三步迭代方案
International Journal of Analysis and Applications Pub Date : 2023-10-23 DOI: 10.28924/2291-8639-21-2023-116
Junaid Ahmad, Muhammad Arshad, Hasanen A. Hammad, Doha A. Kattan
{"title":"A Three-Step Iterative Scheme Based on Green's Function for the Solution of Boundary Value Problems","authors":"Junaid Ahmad, Muhammad Arshad, Hasanen A. Hammad, Doha A. Kattan","doi":"10.28924/2291-8639-21-2023-116","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-116","url":null,"abstract":"In this manuscript, we suggest a three-step iterative scheme for finding approximate numerical solutions to boundary value problems (BVPs) in a Banach space setting. The underlying strategy of the scheme is based on embedding Green’s function into the three-step M-iterative scheme, which we will call in the paper M-Green’s iterative scheme. We assume certain possible mild conditions to prove the convergence and stability results of the suggested scheme. We also prove numerically that our M-Green iterative scheme is more effective than the corresponding Mann-Green and Khan-Green iterative schemes. Our results improve and extend some recent results in the literature of Green’s function based iteration schemes.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135412961","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
Generalized Hyers-Ulam Stability of Additive Functional Inequality in Modular Spaces and β-Homogeneous Banach Spaces 模空间和β-齐次Banach空间中可加泛函不等式的广义Hyers-Ulam稳定性
International Journal of Analysis and Applications Pub Date : 2023-10-23 DOI: 10.28924/2291-8639-21-2023-117
Abderrahman Baza, Mohamed Rossafi
{"title":"Generalized Hyers-Ulam Stability of Additive Functional Inequality in Modular Spaces and β-Homogeneous Banach Spaces","authors":"Abderrahman Baza, Mohamed Rossafi","doi":"10.28924/2291-8639-21-2023-117","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-117","url":null,"abstract":"In this work, we investigate the generalised Hyers-Ulam stability of additive functional inequality in modular spaces with ∆2-conditions and in β-homogeneous Banach spaces.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135413540","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
Characterizing (∈, ∈∨q)-Anti-Intuitionistic Fuzzy Soft UP (BCC)-Subalgebras of UP (BCC)-Algebras 刻画(∈，∈∨q)-反直觉模糊软UP (BCC)- UP的子代数(BCC)-代数
International Journal of Analysis and Applications Pub Date : 2023-10-23 DOI: 10.28924/2291-8639-21-2023-115
Aiyared Iampan, N. Rajesh
{"title":"Characterizing (∈, ∈∨q)-Anti-Intuitionistic Fuzzy Soft UP (BCC)-Subalgebras of UP (BCC)-Algebras","authors":"Aiyared Iampan, N. Rajesh","doi":"10.28924/2291-8639-21-2023-115","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-115","url":null,"abstract":"In this paper, the concepts of (∈, ∈∨q)-anti-intuitionistic fuzzy soft UP (BCC)-subalgebras and (∈, ∈)-anti-intuitionistic fuzzy soft UP (BCC)-subalgebras of UP (BCC)-algebras are introduced and studied. The UP (BCC)-homomorphic image and inverse image are investigated in (∈, ∈∨q)-anti-intuitionistic fuzzy soft UP (BCC)-subalgebras of UP (BCC)-algebras. Characterizations of (∈, ∈∨q)-anti-intuitionistic fuzzy soft UP (BCC)-subalgebras of UP (BCC)-algebras are discussed.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"48 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366469","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
Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields 非阿基米德场中Nörlund-(M， λn)和Nörlund-Euler-(M， λn)可和性方法的Steinhaus型定理
International Journal of Analysis and Applications Pub Date : 2023-10-12 DOI: 10.28924/2291-8639-21-2023-114
E. Muthu Meena Lakshmanan, K. Suja
{"title":"Steinhaus Type Theorem for Nörlund-(M, λn) and Nörlund-Euler-(M, λn) Methods of Summability in Non-Archimedean Fields","authors":"E. Muthu Meena Lakshmanan, K. Suja","doi":"10.28924/2291-8639-21-2023-114","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-114","url":null,"abstract":"In the present research paper, an investigation is undertaken of Steinhaus type theorems for Nörlund-(M, λn) and Nörlund-Euler(M, λn) method of summability in K, a complete non-trivially valued Non-Archimedean field. The conditions for statistical summability for those matrices are discussed in such fields K. The consistency of Nörlund-(M, λn) method of summability is investigated when different sequences are used in the summation process. Further, the relation between Nörlund-Euler(M, λn) summable and its statistical summability is also established.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"248 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013449","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
Results on Katugampola Fractional Derivatives and Integrals 关于Katugampola分数阶导数和积分的结果
International Journal of Analysis and Applications Pub Date : 2023-10-12 DOI: 10.28924/2291-8639-21-2023-113
Iqbal H. Jebril, Mohammed S. El-Khatib, Ahmad A. Abubaker, Suha B. Al-Shaikh, Iqbal M. Batiha
{"title":"Results on Katugampola Fractional Derivatives and Integrals","authors":"Iqbal H. Jebril, Mohammed S. El-Khatib, Ahmad A. Abubaker, Suha B. Al-Shaikh, Iqbal M. Batiha","doi":"10.28924/2291-8639-21-2023-113","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-113","url":null,"abstract":"In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional derivative terminating at b, where m ∈ N. Then, we give some proprieties in relation to these operators such as linearity, product rule, quotient rule, power rule, chain rule, and vanishing derivatives for constant functions.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135967755","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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