In this paper, first, we study the Green function of the Diamond Klein Gordon Bessel operator iterated k times. We give a sense of Distribution theory considering the properties of the convolution of the Green function. Finally, we solve the following equation ( ♦B + d2 )k u(x) = m ∑ r=0 cr ( ♦B + d2 )k δ. It was found that the type of above equation depend on the relationship between the value k and m.
本文首先研究了迭代k次的Diamond Klein Gordon Bessel算子的Green函数。考虑格林函数的卷积性质，给出了一种分布理论的意义。最后，我们解出如下方程(♦B + d2)k u(x) = m∑r=0 cr(♦B + d2)k δ。我们发现，上述方程的类型取决于k和m之间的关系。
{"title":"On the Diamond Bessel Klein Gordon operator related to linear differential equation","authors":"W. Satsanit","doi":"10.22436/JNSA.012.08.06","DOIUrl":"https://doi.org/10.22436/JNSA.012.08.06","url":null,"abstract":"In this paper, first, we study the Green function of the Diamond Klein Gordon Bessel operator iterated k times. We give a sense of Distribution theory considering the properties of the convolution of the Green function. Finally, we solve the following equation ( ♦B + d2 )k u(x) = m ∑ r=0 cr ( ♦B + d2 )k δ. It was found that the type of above equation depend on the relationship between the value k and m.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84475247","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}
T. H. Abouelmagd, M. S. Hamed, J. A. Almamy, M. M. Ali, H. Yousof, M. C. Korkmaz
A new distribution called the Weibull Generalized log logistic distribution is introduced along with a simple physical motivation. Several of its statistical properties are derived. Three applications are provided to illustrate the importance of the new distribution. The new distribution is shown to be better that other important competitive models via three applications. The method of maximum likelihood is used to estimate the unknown parameters.
{"title":"Extended Weibull log-logistic distribution","authors":"T. H. Abouelmagd, M. S. Hamed, J. A. Almamy, M. M. Ali, H. Yousof, M. C. Korkmaz","doi":"10.22436/JNSA.012.08.03","DOIUrl":"https://doi.org/10.22436/JNSA.012.08.03","url":null,"abstract":"A new distribution called the Weibull Generalized log logistic distribution is introduced along with a simple physical motivation. Several of its statistical properties are derived. Three applications are provided to illustrate the importance of the new distribution. The new distribution is shown to be better that other important competitive models via three applications. The method of maximum likelihood is used to estimate the unknown parameters.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86933058","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 introduce a new distribution with two parameters called the odd Frèchet inverse exponential (OFIE) distribution. The OFIE model can be more flexible. The cumulative density function (cdf) and the probability density function (pdf) are investigated. Some of its statistical properties are studied. The maximum likelihood (ML) estimation is employed for OFIE parameters. The importance of the OFIE model is assessed using one real data set.
{"title":"The odd Fréchet inverse exponential distribution with application","authors":"Sharifah Alrajhi","doi":"10.22436/JNSA.012.08.04","DOIUrl":"https://doi.org/10.22436/JNSA.012.08.04","url":null,"abstract":"We introduce a new distribution with two parameters called the odd Frèchet inverse exponential (OFIE) distribution. The OFIE model can be more flexible. The cumulative density function (cdf) and the probability density function (pdf) are investigated. Some of its statistical properties are studied. The maximum likelihood (ML) estimation is employed for OFIE parameters. The importance of the OFIE model is assessed using one real data set.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"96 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81750655","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 provide some Ostrowski-type integral inequalities for functions whose second derivatives belongs to the Lebesgue Lq spaces using the Katugampola fractional integrals. We also introduced some new inequalities of Ostrowski-type for functions whose second derivatives in absolute value at some powers are strongly (s,m)-convex with modulus μ > 0 (in the second sense). Our results are generalizations of some earlier results in the literature.
{"title":"Generalized Ostrowski-type inequalities involving second derivatives via the Katugampola fractional integrals","authors":"S. Kermausuor","doi":"10.22436/JNSA.012.08.02","DOIUrl":"https://doi.org/10.22436/JNSA.012.08.02","url":null,"abstract":"In this paper, we provide some Ostrowski-type integral inequalities for functions whose second derivatives belongs to the Lebesgue Lq spaces using the Katugampola fractional integrals. We also introduced some new inequalities of Ostrowski-type for functions whose second derivatives in absolute value at some powers are strongly (s,m)-convex with modulus μ > 0 (in the second sense). Our results are generalizations of some earlier results in the literature.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87019049","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 the existence of positive traveling waves solutions for the third order differential equation ut +αuxx +βuxxx + (f (x,u(x)))x = 0, where t, x ∈ R, f is a non-negative continuous function with some properties. The result is a consequence of the characterization of the travelling wave solutions as fixed points of some functional, defined using the Green’s function associated to the linear problem, and the Krasnosel’skii fixed point theorem on cone expansion and compression of norm type.
{"title":"On positive travelling wave solutions for a general class of KdV-Burger type equation","authors":"G. Arenas-Díaz, Jose R. Quintero","doi":"10.22436/JNSA.012.07.06","DOIUrl":"https://doi.org/10.22436/JNSA.012.07.06","url":null,"abstract":"In this paper, we establish the existence of positive traveling waves solutions for the third order differential equation ut +αuxx +βuxxx + (f (x,u(x)))x = 0, where t, x ∈ R, f is a non-negative continuous function with some properties. The result is a consequence of the characterization of the travelling wave solutions as fixed points of some functional, defined using the Green’s function associated to the linear problem, and the Krasnosel’skii fixed point theorem on cone expansion and compression of norm type.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87605363","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}
A new four-parameter distribution, called the truncated Weibull power Lomax (TWPL) distribution is introduced. We calculate the density (pdf), distribution function (cdf), quantile function, rth moment, inequality measures, and order statistics. Maximum Likelihood methods to estimate the TWPL distribution parameters are proposed. Two real data sets are applied to illustrate the flexibility of the TWPL model compared with some Known distributions.
{"title":"Truncated Weibull power Lomax distribution: statistical properties and applications","authors":"Sanaa Al-Marzouki","doi":"10.22436/JNSA.012.08.05","DOIUrl":"https://doi.org/10.22436/JNSA.012.08.05","url":null,"abstract":"A new four-parameter distribution, called the truncated Weibull power Lomax (TWPL) distribution is introduced. We calculate the density (pdf), distribution function (cdf), quantile function, rth moment, inequality measures, and order statistics. Maximum Likelihood methods to estimate the TWPL distribution parameters are proposed. Two real data sets are applied to illustrate the flexibility of the TWPL model compared with some Known distributions.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86501024","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 group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded 2-absorbing and graded weakly 2-absorbing submodules of a graded modules over a commutative graded ring.
{"title":"Some properties of graded 2-absorbing and graded weakly 2-absorbing submodules","authors":"K. Al-Zoubi, Mariam Al-Azaizeh","doi":"10.22436/JNSA.012.08.01","DOIUrl":"https://doi.org/10.22436/JNSA.012.08.01","url":null,"abstract":"Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded 2-absorbing and graded weakly 2-absorbing submodules of a graded modules over a commutative graded ring.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80900794","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 studies the global dynamics for discrete-time HIV infection models. The models integrate both long-lived chronically infected and short-lived infected cells. The HIV-susceptible incidence rate is taken as bilinear, saturation and general function. We discretize the continuous-time models by using nonstandard finite difference scheme. The positivity and boundedness of solutions are established. The basic reproduction number is derived. By using Lyapunov method, we prove the global stability of the models. Numerical simulations are presented to illustrate our theoretical results.
{"title":"Stability of discrete-time HIV dynamics models with long-lived chronically infected cells","authors":"A. Elaiw, M. Alshaikh","doi":"10.22436/JNSA.012.07.02","DOIUrl":"https://doi.org/10.22436/JNSA.012.07.02","url":null,"abstract":"This paper studies the global dynamics for discrete-time HIV infection models. The models integrate both long-lived chronically infected and short-lived infected cells. The HIV-susceptible incidence rate is taken as bilinear, saturation and general function. We discretize the continuous-time models by using nonstandard finite difference scheme. The positivity and boundedness of solutions are established. The basic reproduction number is derived. By using Lyapunov method, we prove the global stability of the models. Numerical simulations are presented to illustrate our theoretical results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75114020","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}
An optimized two-step hybrid block method for the numerical solution of third-order initial value problems is presented. The method takes into regard three hybrid points which are selected suitably to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with sixth algebraic order. Some numerical examples are debated to demonstrate the efficiency and the accuracy of the proposed method.
{"title":"Optimization of two-step block method with three hybrid points for solving third order initial value problems","authors":"B. S. Kashkari, Sadeem Alqarni","doi":"10.22436/JNSA.012.07.04","DOIUrl":"https://doi.org/10.22436/JNSA.012.07.04","url":null,"abstract":"An optimized two-step hybrid block method for the numerical solution of third-order initial value problems is presented. The method takes into regard three hybrid points which are selected suitably to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with sixth algebraic order. Some numerical examples are debated to demonstrate the efficiency and the accuracy of the proposed method.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83940670","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":"Contact CR-warped product submanifolds of a generalized Sasakian space form admitting a nearly Sasakian structure","authors":"Amira A. Ishan, M. Khan","doi":"10.22436/JNSA.012.07.03","DOIUrl":"https://doi.org/10.22436/JNSA.012.07.03","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82662521","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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