Pub Date : 2022-11-18DOI: 10.1186/s42787-022-00154-x
Ndubueze G. Emenogu
{"title":"Investigating the effect of loading on the governing equation at the split region for a semi-infinite crack in an orthotropic material under antiplane loading","authors":"Ndubueze G. Emenogu","doi":"10.1186/s42787-022-00154-x","DOIUrl":"https://doi.org/10.1186/s42787-022-00154-x","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"1-33"},"PeriodicalIF":0.0,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42531189","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 : 2022-09-30DOI: 10.1186/s42787-022-00153-y
Manisha Mukherjee, B. Mondal
{"title":"An integer-order SIS epidemic model having variable population and fear effect: comparing the stability with fractional order","authors":"Manisha Mukherjee, B. Mondal","doi":"10.1186/s42787-022-00153-y","DOIUrl":"https://doi.org/10.1186/s42787-022-00153-y","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43035420","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 : 2022-09-23DOI: 10.1186/s42787-022-00152-z
Chacha, Chacha S.
This work incorporates an efficient inversion free iterative scheme into Newton’s method to solve Newton’s step regardless of the singularity of the Fr $${acute{text {e}}}$$ chet derivative. The proposed iterative scheme is constructed by extending the idea of the foundational form of the conjugate gradient method. Moreover, the resulting scheme is refined and employed to obtain a symmetric solution of the nonlinear matrix equation $$X-A^{*}e^{X}A=I.$$ Furthermore, explicit expressions for the perturbation and residual bound estimates of the approximate positive definite solution are derived. Finally, five numerical case studies provided confirm both the preciseness of theoretical results and the effectiveness of the propounded iterative method.
{"title":"On solution and perturbation estimates for the nonlinear matrix equation (X-A^{*}e^{X}A=I)","authors":"Chacha, Chacha S.","doi":"10.1186/s42787-022-00152-z","DOIUrl":"https://doi.org/10.1186/s42787-022-00152-z","url":null,"abstract":"This work incorporates an efficient inversion free iterative scheme into Newton’s method to solve Newton’s step regardless of the singularity of the Fr $${acute{text {e}}}$$ chet derivative. The proposed iterative scheme is constructed by extending the idea of the foundational form of the conjugate gradient method. Moreover, the resulting scheme is refined and employed to obtain a symmetric solution of the nonlinear matrix equation $$X-A^{*}e^{X}A=I.$$ Furthermore, explicit expressions for the perturbation and residual bound estimates of the approximate positive definite solution are derived. Finally, five numerical case studies provided confirm both the preciseness of theoretical results and the effectiveness of the propounded iterative method.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"63 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541264","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 : 2022-09-15DOI: 10.1186/s42787-022-00151-0
Namrata Arvind, S. Panja
{"title":"Unit group of some finite semisimple group algebras","authors":"Namrata Arvind, S. Panja","doi":"10.1186/s42787-022-00151-0","DOIUrl":"https://doi.org/10.1186/s42787-022-00151-0","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"30 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2022-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48157370","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 : 2022-07-18DOI: 10.1186/s42787-022-00149-8
Madian, Samar
In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,delta ,m}^{p,q}(f)$$ -neighborhood of these classes
{"title":"Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order","authors":"Madian, Samar","doi":"10.1186/s42787-022-00149-8","DOIUrl":"https://doi.org/10.1186/s42787-022-00149-8","url":null,"abstract":"In this paper, by using q-calculus (Jackson’s q-derivative) $$D_{q,p}$$ we defined new operator $$D_{lambda ,q,p}^{n}f^{(m)}(z)$$ . After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the $$N_{j,delta ,m}^{p,q}(f)$$ -neighborhood of these classes","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541272","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 : 2022-07-07DOI: 10.1186/s42787-022-00148-9
Hashem, Atef F., Kuş, Coşkun, Pekgör, Ahmet, Abdel-Hamid, Alaa H.
The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, a new distribution is introduced, named Poisson–logarithmic half-logistic distribution, based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also, two real data sets are considered to compare the introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to follow the new distribution at normal stress conditions. Different estimation methods, such as maximum likelihood, percentile, least squares, and weighted least square methods, are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods, a simulation study is conducted, as well as numerical calculations.
{"title":"Poisson–logarithmic half-logistic distribution with inference under a progressive-stress model based on adaptive type-II progressive hybrid censoring","authors":"Hashem, Atef F., Kuş, Coşkun, Pekgör, Ahmet, Abdel-Hamid, Alaa H.","doi":"10.1186/s42787-022-00148-9","DOIUrl":"https://doi.org/10.1186/s42787-022-00148-9","url":null,"abstract":"The researchers, engineers, and physical experimenters may face difficulty to get a distribution that fits the failure data arising from certain systems. So, in this paper, a new distribution is introduced, named Poisson–logarithmic half-logistic distribution, based on a parallel–series system’s failure times. Specific statistical properties are investigated for the introduced distribution. Also, two real data sets are considered to compare the introduced distribution with some other distributions. The progressive-stress accelerated life test is applied using an increasing exponential function of time to units whose lifetimes are expected to follow the new distribution at normal stress conditions. Different estimation methods, such as maximum likelihood, percentile, least squares, and weighted least square methods, are considered on the basis of adaptive type-II progressive hybrid censoring. To assess the efficiency of the estimation methods, a simulation study is conducted, as well as numerical calculations.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541248","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 : 2022-06-30DOI: 10.1186/s42787-022-00147-w
Tripathy, A. K., Chhatria, G. N.
The original publication of this article contained several symbols without any meaning (Q1–Q14). The original article has been updated to remove these symbols.
Authors and Affiliations
Department of Mathematics, Sambalpur University, Sambalpur, 768019, India
A. K. Tripathy & G. N. Chhatria
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