The buoyancy driven flow of a second-grade nanofluid in the presence of a binary chemical reaction is analyzed in the context of a model based on the balance equations for mass,species concentration,momentum and energ...The buoyancy driven flow of a second-grade nanofluid in the presence of a binary chemical reaction is analyzed in the context of a model based on the balance equations for mass,species concentration,momentum and energy.The elastic properties of the considered fluid are taken into account.The two-dimensional slip flow of such non-Newtonian fluid over a porous flat material which is stretched vertically upwards is considered.The role played by the activation energy is accounted for through an exponent form modified Arrhenius function added to the Buongiorno model for the nanofluid concentration.The effects of thermal radiation are also examined.A similarity transformations is used to turn the problem based on partial differential equations into a system of ordinary differential equations.The resulting system is solved using a fourth order RK and shooting methods.The velocity profile,temperature profile,concentration profile,local skin friction,local Nusselt number and local Sherwood number are reported for several circumstances.The influence of the chemical reaction on the properties of the concentration and momentum boundary layers is critically discussed.展开更多
The metric dimension problem is called navigation problem due to its application to robot navigation in space.Further this concept has wide applications in motion planning,sonar and loran station,and so on.In this pap...The metric dimension problem is called navigation problem due to its application to robot navigation in space.Further this concept has wide applications in motion planning,sonar and loran station,and so on.In this paper,we study certain results on the metric dimension,upper dimension and resolving number of extended annihilating-ideal graph EAG(R)associated to a commutative ring R,denoted by dim M(EAG(R)),dim+(EAG(R))and res(EAG(R)),respectively.Here we prove the finiteness conditions of dim M(EAG(R))and dim+(EAG(R)).In addition,we characterize dim M(EAG(R)),dim+(EAG(R))and res(EAG(R))for artinian rings and the direct product of rings.展开更多
In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar ...In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar valued fuzzy α-ideal of BF algebra is proposed. The relationship between bipolar valued fuzzy ideal and bipolar valued fuzzy α-ideal is studied. Some interesting results are also discussed.展开更多
In this paper, we investigate the asymptotic behavior of the following quasilinear difference equations (E) where , . We classified the solutions into six types by means of their asymptotic behavior. We establish the ...In this paper, we investigate the asymptotic behavior of the following quasilinear difference equations (E) where , . We classified the solutions into six types by means of their asymptotic behavior. We establish the necessary and/or sufficient conditions for such equations to possess a solution of each of these six types.展开更多
Towards the end of 2019,the world witnessed the outbreak of Severe Acute Respiratory Syndrome Coronavirus-2(COVID-19),a new strain of coronavirus that was unidentified in humans previously.In this paper,a new fraction...Towards the end of 2019,the world witnessed the outbreak of Severe Acute Respiratory Syndrome Coronavirus-2(COVID-19),a new strain of coronavirus that was unidentified in humans previously.In this paper,a new fractional-order Susceptible-Exposed-Infected-Hospitalized-Recovered(SEIHR)model is formulated for COVID-19,where the population is infected due to human transmission.The fractional-order discrete version of the model is obtained by the process of discretization and the basic reproductive number is calculated with the next-generation matrix approach.All equilibrium points related to the disease transmission model are then computed.Further,sufficient conditions to investigate all possible equilibria of the model are established in terms of the basic reproduction number(local stability)and are supported with time series,phase portraits and bifurcation diagrams.Finally,numerical simulations are provided to demonstrate the theoretical findings.展开更多
The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadrip...The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadripartitioned bipolar single valued neutrosophic graph is established,and the operations on it are studied.The Cartesian product,cross product,lexicographic product,strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated.The proposed concepts are illustrated with examples.展开更多
基金United Arab Emirates University,Al Ain,UAE with Grant No.31S363-UPAR(4)2018.
文摘The buoyancy driven flow of a second-grade nanofluid in the presence of a binary chemical reaction is analyzed in the context of a model based on the balance equations for mass,species concentration,momentum and energy.The elastic properties of the considered fluid are taken into account.The two-dimensional slip flow of such non-Newtonian fluid over a porous flat material which is stretched vertically upwards is considered.The role played by the activation energy is accounted for through an exponent form modified Arrhenius function added to the Buongiorno model for the nanofluid concentration.The effects of thermal radiation are also examined.A similarity transformations is used to turn the problem based on partial differential equations into a system of ordinary differential equations.The resulting system is solved using a fourth order RK and shooting methods.The velocity profile,temperature profile,concentration profile,local skin friction,local Nusselt number and local Sherwood number are reported for several circumstances.The influence of the chemical reaction on the properties of the concentration and momentum boundary layers is critically discussed.
文摘The metric dimension problem is called navigation problem due to its application to robot navigation in space.Further this concept has wide applications in motion planning,sonar and loran station,and so on.In this paper,we study certain results on the metric dimension,upper dimension and resolving number of extended annihilating-ideal graph EAG(R)associated to a commutative ring R,denoted by dim M(EAG(R)),dim+(EAG(R))and res(EAG(R)),respectively.Here we prove the finiteness conditions of dim M(EAG(R))and dim+(EAG(R)).In addition,we characterize dim M(EAG(R)),dim+(EAG(R))and res(EAG(R))for artinian rings and the direct product of rings.
文摘In the mathematical applications, ideal concepts are involved. They have been studied and analyzed in various ways. Already ideal and α-ideal concepts were discussed in BF-algebras. In this paper the idea of bipolar valued fuzzy α-ideal of BF algebra is proposed. The relationship between bipolar valued fuzzy ideal and bipolar valued fuzzy α-ideal is studied. Some interesting results are also discussed.
文摘In this paper, we investigate the asymptotic behavior of the following quasilinear difference equations (E) where , . We classified the solutions into six types by means of their asymptotic behavior. We establish the necessary and/or sufficient conditions for such equations to possess a solution of each of these six types.
基金supported by the research project:Modeling and Stability Analysis of the Spread of Novel Coronavirus Disease COVID-19Prince Sultan University,Saudi Arabia[grant number COVTD19-DES-2020-66].
文摘Towards the end of 2019,the world witnessed the outbreak of Severe Acute Respiratory Syndrome Coronavirus-2(COVID-19),a new strain of coronavirus that was unidentified in humans previously.In this paper,a new fractional-order Susceptible-Exposed-Infected-Hospitalized-Recovered(SEIHR)model is formulated for COVID-19,where the population is infected due to human transmission.The fractional-order discrete version of the model is obtained by the process of discretization and the basic reproductive number is calculated with the next-generation matrix approach.All equilibrium points related to the disease transmission model are then computed.Further,sufficient conditions to investigate all possible equilibria of the model are established in terms of the basic reproduction number(local stability)and are supported with time series,phase portraits and bifurcation diagrams.Finally,numerical simulations are provided to demonstrate the theoretical findings.
基金the Taif University Researchers Supporting Project(TURSP-2020/246),Taif University,Taif,Saudi Arabia.
文摘The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadripartitioned bipolar single valued neutrosophic graph is established,and the operations on it are studied.The Cartesian product,cross product,lexicographic product,strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated.The proposed concepts are illustrated with examples.
