Pub Date : 2023-09-18DOI: 10.28924/2291-8639-21-2023-101
Salman Furqan, Naeem Saleem, Salvatore Sessa
This manuscript consists of the idea of n−controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces in fuzzy environment. Various examples are given to explain definitions and results. We define open ball, convergence of a sequence and a Cauchy sequence in the context of fuzzy n−controlled metric space. We also prove, by means of an example, that a fuzzy n−controlled metric space is not Hausdorff. At the end of the article, an application is given to prove the uniqueness of the solution to fractional differential equations.
{"title":"Fuzzy n−Controlled Metric Space","authors":"Salman Furqan, Naeem Saleem, Salvatore Sessa","doi":"10.28924/2291-8639-21-2023-101","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-101","url":null,"abstract":"This manuscript consists of the idea of n−controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces in fuzzy environment. Various examples are given to explain definitions and results. We define open ball, convergence of a sequence and a Cauchy sequence in the context of fuzzy n−controlled metric space. We also prove, by means of an example, that a fuzzy n−controlled metric space is not Hausdorff. At the end of the article, an application is given to prove the uniqueness of the solution to fractional differential equations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154060","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}
Pub Date : 2023-09-18DOI: 10.28924/2291-8639-21-2023-98
Y. Bhargavi, Aiyared Iampan, B. Nageswararao
In this paper, we introduce and study the concept of vague bi-quasi-interior ideals of Γ-semirings as a generalization of vague bi-ideals, vague quasi-ideals, vague interior ideals, vague bi-quasi-interior ideals, and vague bi-quasi-interior ideals of Γ-semirings.
{"title":"Vague Bi-Quasi-Interior Ideals of Γ-Semirings","authors":"Y. Bhargavi, Aiyared Iampan, B. Nageswararao","doi":"10.28924/2291-8639-21-2023-98","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-98","url":null,"abstract":"In this paper, we introduce and study the concept of vague bi-quasi-interior ideals of Γ-semirings as a generalization of vague bi-ideals, vague quasi-ideals, vague interior ideals, vague bi-quasi-interior ideals, and vague bi-quasi-interior ideals of Γ-semirings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154052","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}
Pub Date : 2023-09-18DOI: 10.28924/2291-8639-21-2023-99
Chawalit Boonpok, Jeeranunt Khampakdee
Our main purpose is to introduce the notions of δs(Λ, s)-R0 spaces and δs(Λ, s)-R1 spaces. Moreover, several characterizations of δs(Λ, s)-R0 spaces and δs(Λ, s)-R1 spaces are investigated.
{"title":"δs(Λ, s)-R0 Spaces and δs(Λ, s)-R1 Spaces","authors":"Chawalit Boonpok, Jeeranunt Khampakdee","doi":"10.28924/2291-8639-21-2023-99","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-99","url":null,"abstract":"Our main purpose is to introduce the notions of δs(Λ, s)-R0 spaces and δs(Λ, s)-R1 spaces. Moreover, several characterizations of δs(Λ, s)-R0 spaces and δs(Λ, s)-R1 spaces are investigated.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135154050","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}
Pub Date : 2023-08-29DOI: 10.28924/2291-8639-21-2023-92
M. Shamsizadeh, K. Abolpour, E. Movahednia, M. de La Sen
This study aims to investigate the refining relation between two vector general fuzzy automata (VGFA) and prove that refining relation is an equivalence relation. Moreover, Also, we prove that if there exists a refining equivalence between two VGFA, then they have the same language. After that, by considering the notion of refining equivalence, we present the quotient of VGFA. In particular, we show that any quotient of a given VGFA and the VGFA itself have the same language. Furthermore, using the quotient VGFA, we obtain a minimal VGFA with the same language.
{"title":"Vector General Fuzzy Automaton: A Refining Analyzing","authors":"M. Shamsizadeh, K. Abolpour, E. Movahednia, M. de La Sen","doi":"10.28924/2291-8639-21-2023-92","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-92","url":null,"abstract":"This study aims to investigate the refining relation between two vector general fuzzy automata (VGFA) and prove that refining relation is an equivalence relation. Moreover, Also, we prove that if there exists a refining equivalence between two VGFA, then they have the same language. After that, by considering the notion of refining equivalence, we present the quotient of VGFA. In particular, we show that any quotient of a given VGFA and the VGFA itself have the same language. Furthermore, using the quotient VGFA, we obtain a minimal VGFA with the same language.","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":"44523000","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}
Pub Date : 2023-08-29DOI: 10.28924/2291-8639-21-2023-96
M. El Hajji, Rahmah Mohammed Alnjrani
In this paper, we propose a five-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Finally, some numerical simulations are presented to illustrate the theoretical findings.
{"title":"Periodic Trajectories for HIV Dynamics in a Seasonal Environment With a General Incidence Rate","authors":"M. El Hajji, Rahmah Mohammed Alnjrani","doi":"10.28924/2291-8639-21-2023-96","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-96","url":null,"abstract":"In this paper, we propose a five-dimensional nonlinear system of differential equations for the human immunodeficiency virus (HIV) including the B-cell functions with a general nonlinear incidence rate. The compartment of infected cells was subdivided into three classes representing the latently infected cells, the short-lived productively infected cells, and the long-lived productively infected cells. The basic reproduction number was established, and the local and global stability of the equilibria of the model were studied. A sensitivity analysis with respect to the model parameters was undertaken. Finally, some numerical simulations are presented to illustrate the theoretical findings.","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":"43543531","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}
Pub Date : 2023-08-29DOI: 10.28924/2291-8639-21-2023-95
H. Hammad, H. Aydi, Doha A. Kattan
In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.
{"title":"Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces","authors":"H. Hammad, H. Aydi, Doha A. Kattan","doi":"10.28924/2291-8639-21-2023-95","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-95","url":null,"abstract":"In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces. Finally, the considered problem has been supported by an illustrative application.","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":"48607578","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}
Pub Date : 2023-08-29DOI: 10.28924/2291-8639-21-2023-93
C. R. Krishna, A. Chandrashekar, N. Ravikumar
The paper presents two novel subclasses of the function class Σ, which consists of bi-univalent functions defined in the open unit disk D={ζ:|ζ|<1}. The authors investigate the properties of these new subclasses and provide estimates for the absolute values of the second, third, and fourth Taylor-Maclaurin coefficients r2, r3, and r4 for functions in these subclasses.
{"title":"Certain New Subclassess of Analytic and Bi-univalent Functions","authors":"C. R. Krishna, A. Chandrashekar, N. Ravikumar","doi":"10.28924/2291-8639-21-2023-93","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-93","url":null,"abstract":"The paper presents two novel subclasses of the function class Σ, which consists of bi-univalent functions defined in the open unit disk D={ζ:|ζ|<1}. The authors investigate the properties of these new subclasses and provide estimates for the absolute values of the second, third, and fourth Taylor-Maclaurin coefficients r2, r3, and r4 for functions in these subclasses.","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":"48650464","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}
Pub Date : 2023-08-29DOI: 10.28924/2291-8639-21-2023-94
R. Rajadurai, G. Sheeja
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.
{"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}
Pub Date : 2023-08-22DOI: 10.28924/2291-8639-21-2023-91
S. Saf, F. Messelmi
The paper is devoted to the study of steady-state transmission problem between two Herschel-Bulkley fluids in a three dimensional thin layer.
本文研究了两种Herschel-Bulkley流体在三维薄层中的稳态传输问题。
{"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}
Pub Date : 2023-08-16DOI: 10.28924/2291-8639-21-2023-89
Ma’mon Abu Hammad, I. Jebril, Shameseddin Alshorm, I. Batiha, Nancy Abu Hammad
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.
{"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}
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