{"title":"Existence and stability results for Hilfer-Katugampola-type fractional implicit differential equations with nonlocal conditions","authors":"Ahmad Y. A. Salamooni, D. D. Pawar","doi":"10.22436/jnsa.014.03.02","DOIUrl":"https://doi.org/10.22436/jnsa.014.03.02","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"78 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83635846","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 introduced the concept of intuitionistic (φ,ψ)-contractive mappings and proved some a common fixed point theorems in intuitionistic fuzzy metric space under (φ,ψ)-contractive mappings and weakly commuting intuitionistic fuzzy metric space.
{"title":"Common fixed point theorems in intuitionistic fuzzy metric spaces and intuitionistic (ϕ,ψ)-contractive mappings","authors":"H. Abu-Donia, H. Atia, Omnia M. A. Khater","doi":"10.22436/jnsa.013.06.03","DOIUrl":"https://doi.org/10.22436/jnsa.013.06.03","url":null,"abstract":"In this paper, we introduced the concept of intuitionistic (φ,ψ)-contractive mappings and proved some a common fixed point theorems in intuitionistic fuzzy metric space under (φ,ψ)-contractive mappings and weakly commuting intuitionistic fuzzy metric space.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75523097","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 note, we present a global asymptotic stability criterion for the fractional differential equations in triangular form. We use the Caputo generalized fractional derivative in our investigations. In our note, we introduce a new procedure to study the global asymptotic stability of the fractional differential equations.
{"title":"Global asymptotic stability of the fractional differential equations","authors":"N. Sene","doi":"10.22436/jnsa.013.03.06","DOIUrl":"https://doi.org/10.22436/jnsa.013.03.06","url":null,"abstract":"In this note, we present a global asymptotic stability criterion for the fractional differential equations in triangular form. We use the Caputo generalized fractional derivative in our investigations. In our note, we introduce a new procedure to study the global asymptotic stability of the fractional differential equations.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89434568","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 introduces a new four-parameter lifetime model called the Marshall-Olkin generalized Burr XII (MOGBXII) distribution. We derive some of its mathematical properties, including quantile and generating functions, ordinary and incomplete moments, mean residual life, and mean waiting time and order statistics. The MOGBXII density can be expressed as a linear mixture of Burr XII densities. The maximum likelihood and least squares methods are used to estimate the MOGBXII parameters. Simulation results are obtained to compare the performances of the two estimation methods for both small and large samples. We empirically illustrate the flexibility and importance of the MOGBXII distribution in modeling various types of lifetime data.
本文介绍了一种新的四参数寿命模型Marshall-Olkin广义Burr XII (MOGBXII)分布。我们得到了它的一些数学性质，包括分位数和生成函数、普通矩和不完全矩、平均剩余寿命、平均等待时间和序统计量。MOGBXII密度可以表示为Burr XII密度的线性混合物。使用极大似然和最小二乘法估计MOGBXII参数。仿真结果比较了两种估计方法在小样本和大样本情况下的性能。我们通过经验说明了MOGBXII分布在建模各种类型的生命周期数据中的灵活性和重要性。
{"title":"The extended Burr XII distribution: properties and applications","authors":"A. Afify, Ashraf D. Abdellatif","doi":"10.22436/jnsa.013.03.02","DOIUrl":"https://doi.org/10.22436/jnsa.013.03.02","url":null,"abstract":"This paper introduces a new four-parameter lifetime model called the Marshall-Olkin generalized Burr XII (MOGBXII) distribution. We derive some of its mathematical properties, including quantile and generating functions, ordinary and incomplete moments, mean residual life, and mean waiting time and order statistics. The MOGBXII density can be expressed as a linear mixture of Burr XII densities. The maximum likelihood and least squares methods are used to estimate the MOGBXII parameters. Simulation results are obtained to compare the performances of the two estimation methods for both small and large samples. We empirically illustrate the flexibility and importance of the MOGBXII distribution in modeling various types of lifetime data.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91161405","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}
{"title":"A new iterative algorithm for solving some nonlinear problems in Hilbert spaces","authors":"T. Sow","doi":"10.22436/jnsa.013.03.01","DOIUrl":"https://doi.org/10.22436/jnsa.013.03.01","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"63 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80152653","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 introduce two new subclasses of α-convex functions and study the applications of Jack’s Lemma in the characterization of functions in these classes.
本文引入了α-凸函数的两个新子类，并研究了杰克引理在这两个子类中函数刻划中的应用。
{"title":"Applications of Jack's lemma for analytic functions involving α-convex functions","authors":"S. Bukhari, Maryam Nazir","doi":"10.22436/jnsa.013.02.06","DOIUrl":"https://doi.org/10.22436/jnsa.013.02.06","url":null,"abstract":"In this paper, we introduce two new subclasses of α-convex functions and study the applications of Jack’s Lemma in the characterization of functions in these classes.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78762214","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 establish new Ostrowski type inequalities involving fractional integrals with respect to another function. Such fractional integrals generalize the Riemann-Liouville fractional integrals and the Ostrowski type fractional integrals.
{"title":"On Ostrowski type inequalities via fractional integrals of a function with respect to another function","authors":"Marian Matoka","doi":"10.22436/jnsa.013.02.04","DOIUrl":"https://doi.org/10.22436/jnsa.013.02.04","url":null,"abstract":"In this paper, we establish new Ostrowski type inequalities involving fractional integrals with respect to another function. Such fractional integrals generalize the Riemann-Liouville fractional integrals and the Ostrowski type fractional integrals.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87435449","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 established some common fixed point theorems for two pairs of self mappings by using the notion of compatibility of type (E) and weak sub-sequential continuity in multiplicative metric spaces. We deduce important results in this line by restricting the number of mappings involved. The proven results are the improved one in the sense that the closedness, completeness of the whole space and continuity of the mappings are relaxed.
{"title":"Some fixed point theorems in multiplicative metric spaces via compatible of type (E) and weakly sub-sequentially continuous mappings","authors":"Rajinder Sharma, D. Thakur","doi":"10.22436/jnsa.013.02.05","DOIUrl":"https://doi.org/10.22436/jnsa.013.02.05","url":null,"abstract":"In this paper, we established some common fixed point theorems for two pairs of self mappings by using the notion of compatibility of type (E) and weak sub-sequential continuity in multiplicative metric spaces. We deduce important results in this line by restricting the number of mappings involved. The proven results are the improved one in the sense that the closedness, completeness of the whole space and continuity of the mappings are relaxed.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78934763","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, some new families of discrete life distributions are discussed. Definitions and basic results are introduced. Several properties of these classes are presented, including the preservation under convolution, closer under the formation of parallel systems and mixing.
{"title":"Preservation properties for some classes of discrete distributions","authors":"E. A. Elrazik","doi":"10.22436/jnsa.013.02.01","DOIUrl":"https://doi.org/10.22436/jnsa.013.02.01","url":null,"abstract":"In this paper, some new families of discrete life distributions are discussed. Definitions and basic results are introduced. Several properties of these classes are presented, including the preservation under convolution, closer under the formation of parallel systems and mixing.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86877916","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 nonuniform exponential dichotomy properties of nonautonomous systems of linear differential equations. Since any linear differential systems are kinematically similar to a triangular system, considering the relation between the nonuniform exponential dichotomy properties of the triangular system is necessary. Without loss of generality, we consider block upper triangular systems and give the criteria for the nonuniform exponential dichotomy of triangular systems on the half line for unbounded systems.
{"title":"Nonuniform exponential dichotomy for block triangular systems on the half line","authors":"LE Huy Tien, Le Duc Nhien, Ta Van Chien","doi":"10.22436/jnsa.013.02.02","DOIUrl":"https://doi.org/10.22436/jnsa.013.02.02","url":null,"abstract":"In this paper, we discuss the nonuniform exponential dichotomy properties of nonautonomous systems of linear differential equations. Since any linear differential systems are kinematically similar to a triangular system, considering the relation between the nonuniform exponential dichotomy properties of the triangular system is necessary. Without loss of generality, we consider block upper triangular systems and give the criteria for the nonuniform exponential dichotomy of triangular systems on the half line for unbounded systems.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"383 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75524534","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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