Basim A. Hassan, Hawraz N. Jabbar, Yoksal A. Laylani
An effective iterative technique, conjugate gradient algorithm is based on the conjugate gradient parameters. By satisfying the conjugacy requirement, one may construct an effective parameters conjugate gradient using a second order Taylor series. After an analysis of the new algorithm’s convergence characteristics, we provide some numerical findings that demonstrate the robustness and effectiveness of the improved methods.
{"title":"Upscaling parameters for conjugate gradient method in unconstrained optimization","authors":"Basim A. Hassan, Hawraz N. Jabbar, Yoksal A. Laylani","doi":"10.47974/jim-1615","DOIUrl":"https://doi.org/10.47974/jim-1615","url":null,"abstract":"An effective iterative technique, conjugate gradient algorithm is based on the conjugate gradient parameters. By satisfying the conjugacy requirement, one may construct an effective parameters conjugate gradient using a second order Taylor series. After an analysis of the new algorithm’s convergence characteristics, we provide some numerical findings that demonstrate the robustness and effectiveness of the improved methods.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"34 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":"135953002","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}
Roaa H. Hasan, Murtadha A. Kadhim, Amal Mohammed Darweesh
Fuzzy partial integro-differential equations have widespread applications in the natural and applied sciences and engineering. The fuzzy T-transform transform is proposed as a new method for solving fuzzy partial differential equations in this research. Using very broad H-differentiability ideas, a formula for the first and second order fuzzy partial derivative has been derived. After an introduction to fuzzy partial T-transforms, fuzzy partial differential equations are developed. Finally, a working example has been presented to showcase the efficacy of the suggested approach.
{"title":"Fuzzy partial T-transforms applied to a system of PDE","authors":"Roaa H. Hasan, Murtadha A. Kadhim, Amal Mohammed Darweesh","doi":"10.47974/jim-1609","DOIUrl":"https://doi.org/10.47974/jim-1609","url":null,"abstract":"Fuzzy partial integro-differential equations have widespread applications in the natural and applied sciences and engineering. The fuzzy T-transform transform is proposed as a new method for solving fuzzy partial differential equations in this research. Using very broad H-differentiability ideas, a formula for the first and second order fuzzy partial derivative has been derived. After an introduction to fuzzy partial T-transforms, fuzzy partial differential equations are developed. Finally, a working example has been presented to showcase the efficacy of the suggested approach.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"23 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":"135953549","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}
Hanan Ali Hussein, Sattar Hameed Hamzah, Habeeb Kareem Abdullah
The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness. The main aim of this paper is to introduce the concepts of soft group space of dispersive soft group space and soft fixed point. Finally, the concept of dispersive soft group space was introduced and some properties related to it.
{"title":"Dispersive soft group space","authors":"Hanan Ali Hussein, Sattar Hameed Hamzah, Habeeb Kareem Abdullah","doi":"10.47974/jim-1602","DOIUrl":"https://doi.org/10.47974/jim-1602","url":null,"abstract":"The soft set theory proposed by Molodtsov is a recent mathematical approach for modeling uncertainty and vagueness. The main aim of this paper is to introduce the concepts of soft group space of dispersive soft group space and soft fixed point. Finally, the concept of dispersive soft group space was introduced and some properties related to it.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"168 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":"135954671","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 1964, Shanks conjectured that there are infinitely many primes of the form 1/2(x2 + 1). Therefore, the aim of this paper is to introduce a technique for studying whether or not there are infinitely many prime numbers of the form 1/2(x2 + 1) derived from some Lucas sequences of the first kind {Un(P, Q)} or the second kind {Vn(P, Q)}, where P ≥ 1 and Q = ±1. In addition, as applications we represent the procedure of this technique in case of x is an either integer or Lucas number of the first or the second kind with x ≥ 1 and 1 ≤ P ≤ 20.
{"title":"On certain prime numbers in Lucas sequences","authors":"Ali S. Athab, Hayder R. Hashim","doi":"10.47974/jim-1616","DOIUrl":"https://doi.org/10.47974/jim-1616","url":null,"abstract":"In 1964, Shanks conjectured that there are infinitely many primes of the form 1/2(x2 + 1). Therefore, the aim of this paper is to introduce a technique for studying whether or not there are infinitely many prime numbers of the form 1/2(x2 + 1) derived from some Lucas sequences of the first kind {Un(P, Q)} or the second kind {Vn(P, Q)}, where P ≥ 1 and Q = ±1. In addition, as applications we represent the procedure of this technique in case of x is an either integer or Lucas number of the first or the second kind with x ≥ 1 and 1 ≤ P ≤ 20.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"5 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":"135955110","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 discuss the notions Nearly-Endo prime submod, Nearly- EndoT-Absorbing submod, observations, and the traits and characteristics of Endo-T-ABSO and Jacobson radical in relation to one another. The relationship between EndoT-Absorbing submod, Endo prime submod, Nearly-End-prime submod, Nearly-EndoT-Absorbing submods were discovered. We are now introducing submods of several types. The ramifications of this study can be used to create new Nearly-EndoT-Absorbing submod, Nearly-Endo-prime submod based notions.
本文讨论了近源素子模、近源吸收子模的概念、观测结果，以及源素子模和Jacobson基的相互关系。发现了EndoT-Absorbing子模、Endo prime子模、near - end -prime子模、near -EndoT-Absorbing子模之间的关系。我们现在将介绍几种类型的子模。本研究的结果可用于创建新的近内吸子模，基于近内吸素数子模的概念。
{"title":"Nearly Endo-T-ABSO submodule and related concepts","authors":"Ali Esmaeil Abd Ali, Wafaa H. Hanoon","doi":"10.47974/jim-1622","DOIUrl":"https://doi.org/10.47974/jim-1622","url":null,"abstract":"In this paper, we discuss the notions Nearly-Endo prime submod, Nearly- EndoT-Absorbing submod, observations, and the traits and characteristics of Endo-T-ABSO and Jacobson radical in relation to one another. The relationship between EndoT-Absorbing submod, Endo prime submod, Nearly-End-prime submod, Nearly-EndoT-Absorbing submods were discovered. We are now introducing submods of several types. The ramifications of this study can be used to create new Nearly-EndoT-Absorbing submod, Nearly-Endo-prime submod based notions.","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":"135958106","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 the present study, a new complex convolution operator is introduced in terms of the meromorphic formula of the generalized Mittag-Leffler functions (MLfs), namely R– function. By employing the subordination methodology, appropriate classes of admissible functions are considered as well as the dual features of the third-order(3rd-order) differential subordination and superordination for this new operator are discussed. As a sequel, the sandwich-type outcome is also examined.
{"title":"Differential sandwich subordination of convolution operator acting on complex meromorphic functions","authors":"Layth T. Khudhuir, H. Al‐Janaby, Ahmed M. Ali","doi":"10.47974/jim-1449","DOIUrl":"https://doi.org/10.47974/jim-1449","url":null,"abstract":"In the present study, a new complex convolution operator is introduced in terms of the meromorphic formula of the generalized Mittag-Leffler functions (MLfs), namely R– function. By employing the subordination methodology, appropriate classes of admissible functions are considered as well as the dual features of the third-order(3rd-order) differential subordination and superordination for this new operator are discussed. As a sequel, the sandwich-type outcome is also examined.","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":"70465490","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 primary purpose of this study is to look at the differential quasi-subordination result for meromorphic multivalent analytic functions. We show how higher-order differential quasisubordination discoveries can be applied in a variety of ways in an open unit disk. We provide a new class S*p,q (x, ℓ, j). to represent higher-order derivatives of meromorphic multivalent analytic functions associated with the operator. We have some findings for this class.
{"title":"New results and application of differential quasi subordinations for higher-order derivatives of meromorphic multivalent functions","authors":"Sarah A. Al-Ameedee, Ahmed J. Obaid","doi":"10.47974/jim-1483","DOIUrl":"https://doi.org/10.47974/jim-1483","url":null,"abstract":"The primary purpose of this study is to look at the differential quasi-subordination result for meromorphic multivalent analytic functions. We show how higher-order differential quasisubordination discoveries can be applied in a variety of ways in an open unit disk. We provide a new class S*p,q (x, ℓ, j). to represent higher-order derivatives of meromorphic multivalent analytic functions associated with the operator. We have some findings for this class.","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":"70466013","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}
O’Regan et al [Journal of Applied Mathematics Letters. 23 (2010) , pp. 446-448] constructed a function as a Lyapunov function for getting stability of endemic equilibrium of a mathematical model for an epidemic. In this paper, we prove the introduced function does not satisfy some of the conditions of Lyapunov function. At last, we correct the introduced function which can help us to reach the aims in stability.
O 'Regan等[Journal of Applied Mathematics Letters. 23 (2010)， pp. 446-448]构造了一个函数作为Lyapunov函数来获得流行病数学模型的地方性平衡的稳定性。本文证明了引入的函数不满足李雅普诺夫函数的一些条件。最后，对引入的函数进行了修正，使系统在稳定性上达到目标。
{"title":"A note on the Lyapunov functions for SIR and SIRS epidemic model","authors":"Mahboobeh Mohamadhasani","doi":"10.47974/jim-1486","DOIUrl":"https://doi.org/10.47974/jim-1486","url":null,"abstract":"O’Regan et al [Journal of Applied Mathematics Letters. 23 (2010) , pp. 446-448] constructed a function as a Lyapunov function for getting stability of endemic equilibrium of a mathematical model for an epidemic. In this paper, we prove the introduced function does not satisfy some of the conditions of Lyapunov function. At last, we correct the introduced function which can help us to reach the aims in stability.","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":"70466251","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}
Let G be a finite group, the result is the involution graph of G, which is an undirected simple graph denoted by the group G as the vertex set and x, y ∈ G adjacent if xy and (xy)2 = 1. In this article, we investigate certain properties of G, the Leech lattice groups HS and McL. The study involves calculating the diameter, the radius, and the girth of ΓGRI.
{"title":"Studying the result involution graphs for HS and McL Leech lattice groups","authors":"Ali Talib Jawad, A. Aubad","doi":"10.47974/jim-1503","DOIUrl":"https://doi.org/10.47974/jim-1503","url":null,"abstract":"Let G be a finite group, the result is the involution graph of G, which is an undirected simple graph denoted by the group G as the vertex set and x, y ∈ G adjacent if xy and (xy)2 = 1. In this article, we investigate certain properties of G, the Leech lattice groups HS and McL. The study involves calculating the diameter, the radius, and the girth of ΓGRI.","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":"70466826","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, a new definition of (m, h1, h2, s)-Harmonically convex function is introduced by combining m-convex, (h1, h2)-convex, s-convex, and harmonically convex function. Nowadays the approach of combining different convex functions is being used to extend the mathematical inequalities. In this paper, H-H inequality is considered to extend the fact that the combination of two or more convex functions combines their properties also. This innovative approach of combining convex functions leads to new applications in a variety of domains, including mathematics as well as other fields. These given inequalities can be considered as refinements and improvements to previously established results.
{"title":"Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function","authors":"Sabir Yasin, M. Misiran, Z. Omar","doi":"10.47974/jim-1489","DOIUrl":"https://doi.org/10.47974/jim-1489","url":null,"abstract":"In this paper, a new definition of (m, h1, h2, s)-Harmonically convex function is introduced by combining m-convex, (h1, h2)-convex, s-convex, and harmonically convex function. Nowadays the approach of combining different convex functions is being used to extend the mathematical inequalities. In this paper, H-H inequality is considered to extend the fact that the combination of two or more convex functions combines their properties also. This innovative approach of combining convex functions leads to new applications in a variety of domains, including mathematics as well as other fields. These given inequalities can be considered as refinements and improvements to previously established results.","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":"70466949","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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