Italian Journal of Pure and Applied Mathematics最新文献_第5页

Continuous Explicit Hybrid Method for Solving Second Order Ordinary Differential Equations 求解二阶常微分方程的连续显式混合方法

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2020-02-13 DOI: 10.11648/J.PAMJ.20200901.14

F. Obarhua, S. J. Kayode

{"title":"Continuous Explicit Hybrid Method for Solving Second Order Ordinary Differential Equations","authors":"F. Obarhua, S. J. Kayode","doi":"10.11648/J.PAMJ.20200901.14","DOIUrl":"https://doi.org/10.11648/J.PAMJ.20200901.14","url":null,"abstract":"This paper presents an explicit hybrid method for direct approximation of second order ordinary differential equations. The approach adopted in this work is by interpolation and collocation of a basis function and its corresponding differential system respectively. Interpolation of the basis function was done at both grid and off-grid points while the differential systems are collocated at selected points. Substitution of the unknown parameters into the basis function and simplification of the resulting equation produced the required continuous, consistent and symmetric explicit hybrid method. Attempts were made to derive starting values of the same order with the methods using Taylor’s series expansion to circumvent the inherent disadvantage of starting values of lower order. The methods were applied to solve linear, non-linear, Duffing equation and a system of equation second-order initial value problems directly. Errors in the results obtained were compared with those of the existing implicit methods of the same and even of higher order. The comparison shows that the accuracy of the new method is better than the existing methods.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2020-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86509246","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

Strong Fuzzy Chromatic Polynomial (SFCP) of Fuzzy Graphs and Some Fuzzy Graph Structures with Applications 模糊图的强模糊色多项式(SFCP)及若干模糊图结构及其应用

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2020-01-22 DOI: 10.11648/J.PAMJ.20200901.13

M. A. Ashebo, V. N. S. R. Repalle

{"title":"Strong Fuzzy Chromatic Polynomial (SFCP) of Fuzzy Graphs and Some Fuzzy Graph Structures with Applications","authors":"M. A. Ashebo, V. N. S. R. Repalle","doi":"10.11648/J.PAMJ.20200901.13","DOIUrl":"https://doi.org/10.11648/J.PAMJ.20200901.13","url":null,"abstract":"In fuzzy graph theory, strong arcs have separate importance. Assign different colors to the end nodes of strong arcs in the fuzzy graph is strong coloring. Strong coloring plays an important role in solving real-life problems that involve networks. In this work, we introduce the new concept, called strong fuzzy chromatic polynomial (SFCP) of a fuzzy graph based on strong coloring. The SFCP of a fuzzy graph counts the number of k-strong colorings of a fuzzy graph with k colors. The existing methods for determining the chromatic polynomial of the crisp graph are used to obtain SFCP of a fuzzy graph. We establish the necessary and sufficient condition for SFCP of a fuzzy graph to be the chromatic polynomial of its underlying crisp graph. Further, we study SFCP of some fuzzy graph structures, namely strong fuzzy graphs, complete fuzzy graphs, fuzzy cycles, and fuzzy trees. Besides, we obtain relations between SFCP and fuzzy chromatic polynomial of strong fuzzy graphs, complete fuzzy graphs, and fuzzy cycles. Finally, we present dual applications of the proposed work in the traffic flow problem. Once SFCP of a fuzzy graph is obtained, the proposed approach is simple enough and shortcut technique to solve strong coloring problems without using coloring algorithms.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2020-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74282462","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

1-Quasi Total Fuzzy Graph and Its Total Coloring 1-拟全模糊图及其全着色

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2020-01-18 DOI: 10.11648/J.PAMJ.20200901.12

Fekadu Tesgera Agama, V. N. S. R. Repalle

{"title":"1-Quasi Total Fuzzy Graph and Its Total Coloring","authors":"Fekadu Tesgera Agama, V. N. S. R. Repalle","doi":"10.11648/J.PAMJ.20200901.12","DOIUrl":"https://doi.org/10.11648/J.PAMJ.20200901.12","url":null,"abstract":"The fuzzy graph theory, its properties, total coloring and applications are currently climbing up. With this concept of fuzzy graph, total fuzzy graph is defined and its properties as well as fuzzy total colorings have been well discussed and studied. Similarly the theory of crisp graph, its properties, applications and colorings are well considered. Moreover, 1-quasi total graphs for crisp graphs, their properties and colorings were discussed by some researchers and the bounds for its total coloring have been established. In this manuscript, from the concept of fuzzy graph we introduced the definition of 1-quasi total graph for fuzzy graphs. To elaborate the definition we provide practical example of fuzzy graph and from this graph we construct the 1-quasi total fuzzy graph of the given fuzzy graph, so that the definition to be meaning full and their relationships can be easily observed from the sketched graphs. In addition some theorems related to the properties of 1-quasi total fuzzy graphs are stated and proved. The results of these theorems are compared with the results obtained from total fuzzy graphs, so that the differences and similarities that 1-quasi total fuzzy graph can have with that of total fuzzy graphs are revealed. Moreover, we define 1-quasi total coloring of fuzzy total graphs and give an example of total coloring of 1-quasi total graphs.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2020-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78582489","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

Partial Differential Equation Formulations from Variational Problems 变分问题中的偏微分方程公式

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2020-01-04 DOI: 10.11648/J.PAMJ.20200901.11

Uchechukwu Opara

引用次数: 2

Filter Banks from the Fibonacci Sequence 从斐波那契序列的滤波器组

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2019-12-31 DOI: 10.11648/J.PAMJ.20190806.12

Fuxian Chen, Qiuhui Chen, Weibin Wu, Xiaoming Wang

引用次数: 0

Hardy-Rogers Type Mappings for Fuzzy Metric Space 模糊度量空间的Hardy-Rogers型映射

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2019-12-24 DOI: 10.11648/J.PAMJ.20190806.11

Mohit Kumar, R. Arora, Ajay Kumar

{"title":"Hardy-Rogers Type Mappings for Fuzzy Metric Space","authors":"Mohit Kumar, R. Arora, Ajay Kumar","doi":"10.11648/J.PAMJ.20190806.11","DOIUrl":"https://doi.org/10.11648/J.PAMJ.20190806.11","url":null,"abstract":"The evolution of fuzzy mathematics commenced with the introduction of the notion of fuzzy set by Zadeh, where the concept of uncertainty has been introduced in the theory of sets in a non probabilistic manner. The several researchers were conducting the generalization of the concept of fuzzy sets. The present research paper focuses on the existence of fixed points in fuzzy metric space. Hardy-Rogers is to establish a fixed point theorem for three maps of a complete metric space. The contractive condition is generalized and the commuting condition of Jungck is replaced by the concept of weakly commuting. The three Hardy-Rogers type mappings are extended in fuzzy metric space and also extend to generalize non-expansive mapping define over a compact fuzzy metric space. The contractive condition is generalization of Hardy-Rogers and the commuting condition of Jungck is replace by the concept of weakly commuting. Our results deals with mappings satisfying a condition weaker than commutativity in complete fuzzy metric space and is the generalization in complete fuzzy metric space of Hardy-Rogers type mappings in complete metric space. We also provide some illustrative example to support our result. We apply also our main results to derive unique and common fixed point for contractive mappings.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90473336","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

Classical Properties on Conformable Fractional Calculus 可合分数阶微积分的经典性质

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2019-10-24 DOI: 10.11648/J.PAMJ.20190805.11

M Musraini, R. Efendi, Endang Lily, Ponco Hidayah

{"title":"Classical Properties on Conformable Fractional Calculus","authors":"M Musraini, R. Efendi, Endang Lily, Ponco Hidayah","doi":"10.11648/J.PAMJ.20190805.11","DOIUrl":"https://doi.org/10.11648/J.PAMJ.20190805.11","url":null,"abstract":"Recently, a definition of fractional which refers to classical calculus form called conformable fractional calculus has been introduced. The main idea of the concept of conformable fractional calculus is how to determine the derivative and integral with fractional order either rational numbers or real numbers. One of the most popular definitions of conformable fractional calculus is defined by Katugampola which is used in this study. This definition satisfies in some respects of classical calculus involved conformable fractional derivative and conformable fractional integral. In the branch of conformable fractional derivatives, some of the additional results such as analysis of fractional derivative in quotient property, product property and Rolle theorem are given. An application on classical calculus such as determining monotonicity of function is also given. Then, in the case of fractional integral, this definition showed that the fractional derivative and the fractional integral are inverses of each other. Some of the classical integral properties are also satisfied on conformable fractional integral. Additionally, this study also has shown that fractional integral acts as a limit of a sum. After that, comparison properties on fractional integral are provided. Finally, the mean value theorem and the second mean value theorem are also applicable for fractional integral.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88391425","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: 7

About the Closed Quasi Injective S-Acts Over Monoids 关于模群上闭拟内射s -行为

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2019-10-24 DOI: 10.11648/J.PAMJ.20190805.12

S. Abdul-Kareem, A. A. Abdulkareem

{"title":"About the Closed Quasi Injective S-Acts Over Monoids","authors":"S. Abdul-Kareem, A. A. Abdulkareem","doi":"10.11648/J.PAMJ.20190805.12","DOIUrl":"https://doi.org/10.11648/J.PAMJ.20190805.12","url":null,"abstract":"The aim of introducing and studying the notion of closed quasi injective S-act is to create a basis facilitate for the exchange ideas between module theory and act theory. As well as it represents a generalization of the quasi-injective act. The quasi-injective act was first introduced and studied by A. M. Lopez, Jr. and J. K. Luedeman, 1979. Then the author was one of the researchers which introduced several generalizations for this notion from several aspects because of its importance. More accurately, the contribution of this paper to the field of competence can be summarized into three points as follows: First: The possibilities for applying the topic of this article helps researchers about how can connect class of injectivity with its generalizations. Second: Study the topic of this article contributes to the improvement of the vision for finding the corresponding between acts theory and module theory. Third: This article has dealt with the important subject in the field of science and knowledge especially in algebra and can take it as a basis for future work for the researchers who work on algebra. Now, in this paper, the concept of closed quasi injective acts over monoids is introduced which represents a generalization of quasi injective. Several characterizations of this concept are given to show the behavior of the property of closed quasi injective. Relationship of the concept of closed quasi injective acts over monoids with Hopfian, co-Hopfian and directly finite property are considered. This work gives the answer to the question of what are the conditions to be met in the subacts in order to inherit the property of closed quasi injectivity. We obtained the main result in this direction in proposition (2.5) and proposition (2.6). A part of this paper was devoted to studying the relationship among the class of closed quasi injective acts with some generalizations of injectivity.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87281412","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: 3

Parking Lot Optimization in Parallelogram Using the Concept Area of Rectangular and Right Triangle 利用矩形和直角三角形面积概念优化平行四边形停车场

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2019-10-09 DOI: 10.11648/j.pamj.20190804.12

Ihda Hasbiyati, Widiawati Putri, A. Adnan, Ahriyati, Hasriati

{"title":"Parking Lot Optimization in Parallelogram Using the Concept Area of Rectangular and Right Triangle","authors":"Ihda Hasbiyati, Widiawati Putri, A. Adnan, Ahriyati, Hasriati","doi":"10.11648/j.pamj.20190804.12","DOIUrl":"https://doi.org/10.11648/j.pamj.20190804.12","url":null,"abstract":"Parking lots are one of the most important elements of transportation infrastructure. Parking lots with good design and the selection of suitable parking angles will provide optimal vehicle capacity. In this article, we will discuss the parking lot in the form of a Parallelogram with a broad concept of area, for parking a private car vehicle. In this paper, the land in the form of a jug is formed of two right and rectangular triangles. The method used is a linear program method that is formed from the broad concept of the area with the help of lindo software. The results obtained from this article are the forms of Parallelogram which are formed from two right triangles which are used divided into two parts, namely a right triangle with a base and a height of half a rectangle resulting in a total parking area of 873,600 square meters, with the number of car vehicles that can be parked on the inside of a parking lot with a 90 degree angle is as much as 520 car vehicles. So it can be concluded that the numbers formed from two right triangles and rectangles produce the optimal number of vehicles with a 90 degree parking angle.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2019-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82534991","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

Algebra of Real Functions: Classification of Functions, Fictitious and Essential Functions 实函数代数:函数的分类，虚函数与本质函数

IF 0.2

Italian Journal of Pure and Applied Mathematics Pub Date : 2019-09-03 DOI: 10.11648/J.PAMJ.20190804.11

M. Malkov

引用次数: 0