The integral transformations have become very important in solving differential equations, especially those that have an applied aspect in the physical, chemical, economic and other scientific fields. In this article, the suggested transform which named by SEJI integral transform is developed for solving the partial derivatives and applied to solve several partial differential equations. This paper introduced the definition of the suggested transform with its properties that have the importance in this field. This new transform has an ability to applying in {PDEs) and finding the exact solution for these equations. Kinds of partial differential equations have solved by using this transform.
{"title":"Solving the partial differential equations by using SEJI integral transform","authors":"Sadiq A. Mehdi, Emad A. Kuffi, Jinan A. Jasim","doi":"10.47974/jim-1611","DOIUrl":"https://doi.org/10.47974/jim-1611","url":null,"abstract":"The integral transformations have become very important in solving differential equations, especially those that have an applied aspect in the physical, chemical, economic and other scientific fields. In this article, the suggested transform which named by SEJI integral transform is developed for solving the partial derivatives and applied to solve several partial differential equations. This paper introduced the definition of the suggested transform with its properties that have the importance in this field. This new transform has an ability to applying in {PDEs) and finding the exact solution for these equations. Kinds of partial differential equations have solved by using this transform.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135952962","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}
The F-semi-2-ABSO and the F-scl are compared in this study to see how they interact. In order to respond to this inquiry, we present a new notion called as fuzzy socle semi-2-ABSO submd. The findings revealed a number of characteristics that lent credence to the new concept. The connection between F-semi-2-ABSO and F-scl-2-ABSO is also discovered using straightforward algebraic techniques. In addition, we investigated the F-scl-semi-2-ABSO submd structure for F-direct sum and homomorphic picture. It also covered how F-scl-semi-2-ABSO submd relates to other F-submd types. The findings from this research are important for the definition of new F-scl semi-2-ABSO concepts.
{"title":"Fuzzy scl–semi 2–ABSO submd and related concepts","authors":"Mustafa B. Salman, Wafaa H. Hanoon","doi":"10.47974/jim-1621","DOIUrl":"https://doi.org/10.47974/jim-1621","url":null,"abstract":"The F-semi-2-ABSO and the F-scl are compared in this study to see how they interact. In order to respond to this inquiry, we present a new notion called as fuzzy socle semi-2-ABSO submd. The findings revealed a number of characteristics that lent credence to the new concept. The connection between F-semi-2-ABSO and F-scl-2-ABSO is also discovered using straightforward algebraic techniques. In addition, we investigated the F-scl-semi-2-ABSO submd structure for F-direct sum and homomorphic picture. It also covered how F-scl-semi-2-ABSO submd relates to other F-submd types. The findings from this research are important for the definition of new F-scl semi-2-ABSO concepts.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135952997","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}
In this paper, we present the idea of Soc-T-ABSO submodule observations and examine how-T-ABSO submodule and Socle relate to one another in terms of qualities and characteristics. Submodules of several kinds are have now been introduced. It is possible to develop new concepts based on Soc-T-ABSO submodules using the implications of this work.
在本文中，我们提出了Soc-T-ABSO子模块观测的思想，并研究了- t - abso子模块与社会在质量和特征方面的相互关系。现在已经引入了几种类型的子模块。利用这项工作的启示，可以开发基于Soc-T-ABSO子模块的新概念。
{"title":"Soc-T-ABSO submodules and related concepts","authors":"Marwah W. Allami, Wafaa H. Hanoon","doi":"10.47974/jim-1607","DOIUrl":"https://doi.org/10.47974/jim-1607","url":null,"abstract":"In this paper, we present the idea of Soc-T-ABSO submodule observations and examine how-T-ABSO submodule and Socle relate to one another in terms of qualities and characteristics. Submodules of several kinds are have now been introduced. It is possible to develop new concepts based on Soc-T-ABSO submodules using the implications of this work.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135954435","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}
This paper we will address the encryption process text is generally through a number of processes of dispersion of the later values in a matrix is A through remittances linear in addition to the use of GSVD enters, including one key which is gray image or to be possible colored but to be converted to a grayscale image, where work will begin the application process distracting initial. In a compound to generate new matrices B1 and B2 of the original text matrix and which enters the mean of the matrix of images key.The second phase of the dispersion is using GSVD on the last matrices with the matrix of the key and switch C matrix among the two spectral for the new matrices B1 with key and B2 with key to generation new matrices B11,B22, which represents putting as correlative F = [B11;B22] who represents the matrix of the initial of the encoded text. For purpose of ascertaining the accuracy of the work we calculated the matrix of absolute value of the difference between the matrix of numbers for original text characters lettering before encryption and matrix of numbers for text characters after decryption to show us zero matrix, as well as the calculation of the average values of this matrix was zero.
{"title":"Text encryption by image encryption key with based on generalized singular value decomposition (GSVD)","authors":"Mohammed Abdul-Hameed","doi":"10.47974/jim-1630","DOIUrl":"https://doi.org/10.47974/jim-1630","url":null,"abstract":"This paper we will address the encryption process text is generally through a number of processes of dispersion of the later values in a matrix is A through remittances linear in addition to the use of GSVD enters, including one key which is gray image or to be possible colored but to be converted to a grayscale image, where work will begin the application process distracting initial. In a compound to generate new matrices B1 and B2 of the original text matrix and which enters the mean of the matrix of images key.The second phase of the dispersion is using GSVD on the last matrices with the matrix of the key and switch C matrix among the two spectral for the new matrices B1 with key and B2 with key to generation new matrices B11,B22, which represents putting as correlative F = [B11;B22] who represents the matrix of the initial of the encoded text. For purpose of ascertaining the accuracy of the work we calculated the matrix of absolute value of the difference between the matrix of numbers for original text characters lettering before encryption and matrix of numbers for text characters after decryption to show us zero matrix, as well as the calculation of the average values of this matrix was zero.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135957682","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}
In this paper, we define the Hadamard product (or convolution) (f * y([h])) (x) of the analytic function in the unit disk µ = [ξ : |ξ| < 1, ξ ∈ Ȼ] with the non-zero parameter h, satisfactory to the relationship hη (f * ψ([η]))(ξ) = (hη - 1) (f * ψ([η + 1])) (ξ) + ξ(f * ψ([η + 1]))′ (ξ), to derive subordination, superordination and sandwich results for functions of the form (f * ψ([η]))(ξ) by using some properties of Subordination and Superordination concepts. Our results serve to generalize and improve some previous studies where the results of this research were applied to linear operator Bbd band the multiplier operator ℑiℓ,m. This work can be generalized to other linear operators.
{"title":"Some properties of subordination differential and superordination for univalent functions associated with the convolution operators","authors":"Bahaa A. Anter, A. Juma","doi":"10.47974/jim-1480","DOIUrl":"https://doi.org/10.47974/jim-1480","url":null,"abstract":"In this paper, we define the Hadamard product (or convolution) (f * y([h])) (x) of the analytic function in the unit disk µ = [ξ : |ξ| < 1, ξ ∈ Ȼ] with the non-zero parameter h, satisfactory to the relationship hη (f * ψ([η]))(ξ) = (hη - 1) (f * ψ([η + 1])) (ξ) + ξ(f * ψ([η + 1]))′ (ξ), to derive subordination, superordination and sandwich results for functions of the form (f * ψ([η]))(ξ) by using some properties of Subordination and Superordination concepts. Our results serve to generalize and improve some previous studies where the results of this research were applied to linear operator Bbd band the multiplier operator ℑiℓ,m. This work can be generalized to other linear operators.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465661","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}
M. M. Abbood, Hassan H. Ebrahim, Ali Al-Fayadh, Ahmed J. Obaid
This work aims to introduce concepts about Γ–algebra calculate relative to Γ–algebra and outer measure in relation to Γ–algebra are examples. After that, we establish a relationship between them. The notions of null-additive and weakly null-additive as two generalizations of measure and extreme measure are introduced and studied too.
{"title":"Measure defined on Γ–algebra and some of their generalizations","authors":"M. M. Abbood, Hassan H. Ebrahim, Ali Al-Fayadh, Ahmed J. Obaid","doi":"10.47974/jim-1502","DOIUrl":"https://doi.org/10.47974/jim-1502","url":null,"abstract":"This work aims to introduce concepts about Γ–algebra calculate relative to Γ–algebra and outer measure in relation to Γ–algebra are examples. After that, we establish a relationship between them. The notions of null-additive and weakly null-additive as two generalizations of measure and extreme measure are introduced and studied too.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70466747","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}
Based on Legendre wavelets, a new efficient numerical integration method is proposed to estimate double integrals. This new method is expressed in terms of the operational integration matrices. Those which were introduced by Parsian, are calculated in an approximate way. In this work, we also propose the exact computation of these matrices. Better precision of the new method is observed during a comparative numerical study with the composite Simpson method.
{"title":"New 2D numerical integration formula based on the Legendre wavelets","authors":"Leila Bouzid, Naima Lahmar-Ablaoui, Maghnia Hamou Maamar","doi":"10.47974/jim-1509","DOIUrl":"https://doi.org/10.47974/jim-1509","url":null,"abstract":"Based on Legendre wavelets, a new efficient numerical integration method is proposed to estimate double integrals. This new method is expressed in terms of the operational integration matrices. Those which were introduced by Parsian, are calculated in an approximate way. In this work, we also propose the exact computation of these matrices. Better precision of the new method is observed during a comparative numerical study with the composite Simpson method.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467073","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}
This article aims to introduce some concepts related to the v-open set such as v-closure, v-interior, and v-exterior. Basic properties, examples, and characterizations of these concepts have been investigated. Finally, this work aims to study these ideas, and some propositions, theorems, and relations between purposed concepts have been given.
{"title":"Some properties of an v-open set","authors":"Zaman T. Sameer, Luma S. Abdalbaqi","doi":"10.47974/jim-1519","DOIUrl":"https://doi.org/10.47974/jim-1519","url":null,"abstract":"This article aims to introduce some concepts related to the v-open set such as v-closure, v-interior, and v-exterior. Basic properties, examples, and characterizations of these concepts have been investigated. Finally, this work aims to study these ideas, and some propositions, theorems, and relations between purposed concepts have been given.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467369","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}
We all know the vast number of studies that presented several generalizations of open sets in topological spaces. On the other hand, since 2002 when A. Csaszar introduced the definition of generalized topology, other generalizations of open sets have appeared in generalized topological spaces. Our study provides a new generalization for an open set, where the definition will be a mixture of ordinary topology and generalized topology. Our new open set is named Xw-open set. We give several characterizations, properties, and examples related to the new concept.
{"title":"New open set on topological space with generalized topology","authors":"S. G. Gasim, Muna L. Abd Ul Ridha","doi":"10.47974/jim-1531","DOIUrl":"https://doi.org/10.47974/jim-1531","url":null,"abstract":"We all know the vast number of studies that presented several generalizations of open sets in topological spaces. On the other hand, since 2002 when A. Csaszar introduced the definition of generalized topology, other generalizations of open sets have appeared in generalized topological spaces. Our study provides a new generalization for an open set, where the definition will be a mixture of ordinary topology and generalized topology. Our new open set is named Xw-open set. We give several characterizations, properties, and examples related to the new concept.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468023","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}
The Cayley graph, signed graph and line graph are well known in the literature. Now, our focus is to study line signed graphs of Cayley signed graphs. In this paper, we have characterized the Cayley sets and generating sets for which line signed graphs of Cayley signed graphs are canonically consistent(C-consistent).
{"title":"C-consistent line signed graphs of Cayley signed graphs","authors":"Tanuja Yadav, Amit Kumar","doi":"10.47974/jim-1645","DOIUrl":"https://doi.org/10.47974/jim-1645","url":null,"abstract":"The Cayley graph, signed graph and line graph are well known in the literature. Now, our focus is to study line signed graphs of Cayley signed graphs. In this paper, we have characterized the Cayley sets and generating sets for which line signed graphs of Cayley signed graphs are canonically consistent(C-consistent).","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"71 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468345","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}
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