Pub Date : 2021-02-10DOI: 10.1186/s42787-021-00113-y
M. Elzawy
In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$chi =chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.
{"title":"Hasimoto surfaces in Galilean space (G_{3})","authors":"M. Elzawy","doi":"10.1186/s42787-021-00113-y","DOIUrl":"https://doi.org/10.1186/s42787-021-00113-y","url":null,"abstract":"In this article Hasimoto surfaces in Galilean space $$G_{3}$$ will be considered, Gauss curvature (K) and Mean curvature (H) of Hasimoto surfaces $$chi =chi (s,t)$$ will be investigated, some characterization of s-curves and t-curves of Hasimoto surfaces in Galilean space $$G_{3}$$ will be introduced. Example of Hasimoto surfaces will be illustrated.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"309 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505120","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 : 2021-02-04DOI: 10.1186/s42787-021-00114-x
Kamrun N. Keya, M. Kamrujjaman, Md. Shafiqul Islam
{"title":"The influence of density in population dynamics with strong and weak Allee effect","authors":"Kamrun N. Keya, M. Kamrujjaman, Md. Shafiqul Islam","doi":"10.1186/s42787-021-00114-x","DOIUrl":"https://doi.org/10.1186/s42787-021-00114-x","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-021-00114-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47308942","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 : 2021-01-29DOI: 10.1186/s42787-020-00111-6
Ashraf Elrokh, Aya Rabie
A simple graph is called cordial if it has 0-1 labeling that satisfies certain conditions. In this paper, we examine the necessary and sufficient conditions for cordial labeling of the sum and union of two fourth power of paths and cycles.
{"title":"The cordiality of the sum and union of two fourth power of paths and cycles","authors":"Ashraf Elrokh, Aya Rabie","doi":"10.1186/s42787-020-00111-6","DOIUrl":"https://doi.org/10.1186/s42787-020-00111-6","url":null,"abstract":"A simple graph is called cordial if it has 0-1 labeling that satisfies certain conditions. In this paper, we examine the necessary and sufficient conditions for cordial labeling of the sum and union of two fourth power of paths and cycles.\u0000","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"65 19","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505124","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 : 2021-01-14DOI: 10.1186/s42787-020-00112-5
A. I. Ismail
In the previous works, the limiting case for the motion of a rigid body about a fixed point in a Newtonian force field, which comes from a gravity center lies on Z -axis, is solved. The authors apply the small parameter technique which is achieved giving the body a sufficiently large angular velocity component r o about the fixed z -axis of the body. The periodic solutions of motion are obtained in neighborhood r o tends to $$infty$$ ∞ . In our work, we aim to find periodic solutions to the problem of motion in the neighborhood of r 0 tends to $$0$$ 0 . So, we give a new assumption that: r o is sufficiently small. Under this assumption, we must achieve a large parameter and search for another technique for solving this problem. This technique is named; a large parameter technique instead of the small one well known previously. We see the advantage of the new technique which appears in saving high energy used to begin the motion and give the solution of the problem in another domain. The obtained solutions by the new technique depend on r o . We consider that the center of mass of this body does not necessarily coincide with the fixed point O. We reduce the six nonlinear differential equations of the body and their three first integrals to a quasilinear autonomous system of two degrees of freedom and one first integral. We solve the rational case when the frequencies of the generating system are rational except $$(,omega = ,1,,2,1/2,3,1/3, ldots )$$ ( ω = 1 , 2 , 1 / 2 , 3 , 1 / 3 , … ) under the condition $$gamma^{primeprime}_{0} = cos theta_{o} approx 0$$ γ 0 ″ = cos θ o ≈ 0 . We use the fourth-order Runge–Kutta method to find the periodic solutions in the closed interval of the time t and to compare the analytical method with the numerical one.
{"title":"The periodic rotary motions of a rigid body in a new domain of angular velocity","authors":"A. I. Ismail","doi":"10.1186/s42787-020-00112-5","DOIUrl":"https://doi.org/10.1186/s42787-020-00112-5","url":null,"abstract":"In the previous works, the limiting case for the motion of a rigid body about a fixed point in a Newtonian force field, which comes from a gravity center lies on Z -axis, is solved. The authors apply the small parameter technique which is achieved giving the body a sufficiently large angular velocity component r o about the fixed z -axis of the body. The periodic solutions of motion are obtained in neighborhood r o tends to $$infty$$ ∞ . In our work, we aim to find periodic solutions to the problem of motion in the neighborhood of r 0 tends to $$0$$ 0 . So, we give a new assumption that: r o is sufficiently small. Under this assumption, we must achieve a large parameter and search for another technique for solving this problem. This technique is named; a large parameter technique instead of the small one well known previously. We see the advantage of the new technique which appears in saving high energy used to begin the motion and give the solution of the problem in another domain. The obtained solutions by the new technique depend on r o . We consider that the center of mass of this body does not necessarily coincide with the fixed point O. We reduce the six nonlinear differential equations of the body and their three first integrals to a quasilinear autonomous system of two degrees of freedom and one first integral. We solve the rational case when the frequencies of the generating system are rational except $$(,omega = ,1,,2,1/2,3,1/3, ldots )$$ ( ω = 1 , 2 , 1 / 2 , 3 , 1 / 3 , … ) under the condition $$gamma^{primeprime}_{0} = cos theta_{o} approx 0$$ γ 0 ″ = cos θ o ≈ 0 . We use the fourth-order Runge–Kutta method to find the periodic solutions in the closed interval of the time t and to compare the analytical method with the numerical one.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"64 19","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505114","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 : 2021-01-07DOI: 10.1186/s42787-020-00109-0
Khilap Singh, Alok Kumar Pandey, Manoj Kumar
The assessment of melting heat transfer and non-uniform heat source on magnetic Cu–H 2 O nanofluid flow through a porous cylinder was studied. The transformed differential equations describing the motion of Cu–H 2 O fluid together with pertinent boundary conditions were handled numerically with the assistance of Keller box method. The ranges of volume fraction of copper particles were taken as 0–25%. The impacts of various governing parameters on the physical measures such as Nusselt number, surface drag force, temperature and velocity were analyzed by representing through graphs and tables. It was noted that the flow was influenced accordingly with the governing parameters. The outcomes showed that the rate of heat exchange improved with elevated Reynolds number, space and temperature-dependent internal heat source and melting parameters. The comparison of our data in relation to those of previous works has been shown.
{"title":"Melting heat transfer assessment on magnetic nanofluid flow past a porous stretching cylinder","authors":"Khilap Singh, Alok Kumar Pandey, Manoj Kumar","doi":"10.1186/s42787-020-00109-0","DOIUrl":"https://doi.org/10.1186/s42787-020-00109-0","url":null,"abstract":"The assessment of melting heat transfer and non-uniform heat source on magnetic Cu–H 2 O nanofluid flow through a porous cylinder was studied. The transformed differential equations describing the motion of Cu–H 2 O fluid together with pertinent boundary conditions were handled numerically with the assistance of Keller box method. The ranges of volume fraction of copper particles were taken as 0–25%. The impacts of various governing parameters on the physical measures such as Nusselt number, surface drag force, temperature and velocity were analyzed by representing through graphs and tables. It was noted that the flow was influenced accordingly with the governing parameters. The outcomes showed that the rate of heat exchange improved with elevated Reynolds number, space and temperature-dependent internal heat source and melting parameters. The comparison of our data in relation to those of previous works has been shown.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"289 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505141","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 : 2020-12-01DOI: 10.1186/s42787-020-00110-7
T. Oyekunle, S. Agunbiade
{"title":"Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate","authors":"T. Oyekunle, S. Agunbiade","doi":"10.1186/s42787-020-00110-7","DOIUrl":"https://doi.org/10.1186/s42787-020-00110-7","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-020-00110-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65797163","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 : 2020-12-01DOI: 10.1186/s42787-020-00108-1
Birliew Fekede, Benyam Mebrate
In this paper, we are concerned with a mathematical model of secondhand smoker. The model is biologically meaningful and mathematically well posed. The reproductive number $$R_{0}$$ R 0 is determined from the model, and it measures the average number of secondary cases generated by a single primary case in a fully susceptible population. If $$R_{0}<1,$$ R 0 < 1 , the smoking-free equilibrium point is stable, and if $$R_{0}>1,$$ R 0 > 1 , endemic equilibrium point is unstable. We also provide numerical simulation to show stability of equilibrium points. In addition, sensitivity analysis of parameters involving in the dynamic system of the proposed model has been included. The parameters involving in reproductive number measure the relative change in $$R_{0}$$ R 0 when the value of the parameter changes.
在本文中，我们关注的是一个二手吸烟者的数学模型。这个模型在生物学上有意义，在数学上也很好。生殖数$$R_{0}$$ R 0由该模型确定，它衡量了在完全易感人群中单个原发病例产生的继发病例的平均数量。当$$R_{0}1,$$ r0 > 1时，地方性平衡点不稳定。我们还提供了数值模拟来证明平衡点的稳定性。此外，还对模型的动态系统中涉及的参数进行了灵敏度分析。生殖数所涉及的参数测量了当参数值变化时$$R_{0}$$ R 0的相对变化。
{"title":"Sensitivity and mathematical model analysis on secondhand smoking tobacco","authors":"Birliew Fekede, Benyam Mebrate","doi":"10.1186/s42787-020-00108-1","DOIUrl":"https://doi.org/10.1186/s42787-020-00108-1","url":null,"abstract":"In this paper, we are concerned with a mathematical model of secondhand smoker. The model is biologically meaningful and mathematically well posed. The reproductive number $$R_{0}$$ R 0 is determined from the model, and it measures the average number of secondary cases generated by a single primary case in a fully susceptible population. If $$R_{0}<1,$$ R 0 < 1 , the smoking-free equilibrium point is stable, and if $$R_{0}>1,$$ R 0 > 1 , endemic equilibrium point is unstable. We also provide numerical simulation to show stability of equilibrium points. In addition, sensitivity analysis of parameters involving in the dynamic system of the proposed model has been included. The parameters involving in reproductive number measure the relative change in $$R_{0}$$ R 0 when the value of the parameter changes.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"63 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505115","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 : 2020-11-06DOI: 10.1186/s42787-020-00107-2
H. M. Abu-Donia, Rodyna A. Hosny
Weak structure space (briefly, wss ) has master looks, when the whole space is not open, and these classes of subsets are not closed under arbitrary unions and finite intersections, which classify it from typical topology. Our main target of this article is to introduce $$psi _{{mathcal {H}}}(.)$$ ψ H ( . ) -operator in hereditary class weak structure space (briefly, $${mathcal {H}}wss$$ H w s s ) $$(X, w, {mathcal {H}})$$ ( X , w , H ) and examine a number of its characteristics. Additionally, we clarify some relations that are credible in topological spaces but cannot be realized in generalized ones. As a generalization of w -open sets and w -semiopen sets, certain new kind of sets in a weak structure space via $$psi _{{mathcal {H}}}(.)$$ ψ H ( . ) -operator called $$psi _{{mathcal {H}}}$$ ψ H -semiopen sets are introduced. We prove that the family of $$psi _{{mathcal {H}}}$$ ψ H -semiopen sets composes a supra-topology on X . In view of hereditary class $${mathcal {H}}_{0}$$ H 0 , $$w T_{1}$$ w T 1 -axiom is formulated and also some of their features are investigated.
弱结构空间(简称wss)在整个空间不开放的情况下具有master外观，并且这类子集在任意并和有限交下不闭合，从而将其与典型拓扑区分开来。本文的主要目标是介绍$$psi _{{mathcal {H}}}(.)$$ ψ H(。)-算子在遗传类弱结构空间(简写为$${mathcal {H}}wss$$ H w ss) $$(X, w, {mathcal {H}})$$ (X, w, H)中，并考察了它的一些特征。此外，我们还澄清了一些在拓扑空间中可信但在广义拓扑空间中无法实现的关系。作为对w -开集和w -半开集的推广，通过$$psi _{{mathcal {H}}}(.)$$ ψ H(。)引入了-算子$$psi _{{mathcal {H}}}$$ -半开集。证明了$$psi _{{mathcal {H}}}$$ ψ H -半开集族构成了X上的一个超拓扑。针对遗传类$${mathcal {H}}_{0}$$ H 0，建立了$$w T_{1}$$ w t1公理，并研究了它们的一些特征。
{"title":"On $$psi _{{mathcal{H}}}( . )$$-operator in weak structure spaces with hereditary classes","authors":"H. M. Abu-Donia, Rodyna A. Hosny","doi":"10.1186/s42787-020-00107-2","DOIUrl":"https://doi.org/10.1186/s42787-020-00107-2","url":null,"abstract":"Weak structure space (briefly, wss ) has master looks, when the whole space is not open, and these classes of subsets are not closed under arbitrary unions and finite intersections, which classify it from typical topology. Our main target of this article is to introduce $$psi _{{mathcal {H}}}(.)$$ ψ H ( . ) -operator in hereditary class weak structure space (briefly, $${mathcal {H}}wss$$ H w s s ) $$(X, w, {mathcal {H}})$$ ( X , w , H ) and examine a number of its characteristics. Additionally, we clarify some relations that are credible in topological spaces but cannot be realized in generalized ones. As a generalization of w -open sets and w -semiopen sets, certain new kind of sets in a weak structure space via $$psi _{{mathcal {H}}}(.)$$ ψ H ( . ) -operator called $$psi _{{mathcal {H}}}$$ ψ H -semiopen sets are introduced. We prove that the family of $$psi _{{mathcal {H}}}$$ ψ H -semiopen sets composes a supra-topology on X . In view of hereditary class $${mathcal {H}}_{0}$$ H 0 , $$w T_{1}$$ w T 1 -axiom is formulated and also some of their features are investigated.","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":"63 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505119","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 : 2020-11-04DOI: 10.1186/s42787-020-00106-3
M. Abdou, Hamed Kamal Awad
{"title":"An asymptotic model for solving mixed integral equation in some domains","authors":"M. Abdou, Hamed Kamal Awad","doi":"10.1186/s42787-020-00106-3","DOIUrl":"https://doi.org/10.1186/s42787-020-00106-3","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-020-00106-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47241847","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 : 2020-10-23DOI: 10.1186/s42787-020-00105-4
A. Ramadan, M. Usama, A. A. Abd El-Latif
{"title":"L-fuzzy pre-proximities, L-fuzzy filters and L-fuzzy grills","authors":"A. Ramadan, M. Usama, A. A. Abd El-Latif","doi":"10.1186/s42787-020-00105-4","DOIUrl":"https://doi.org/10.1186/s42787-020-00105-4","url":null,"abstract":"","PeriodicalId":33345,"journal":{"name":"Journal of the Egyptian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s42787-020-00105-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45990623","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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