iosr-Jm   Volume-12 ~ Issue-6 ~ Nov-Dec 2016

Abstract: The aim of this paper is to establish some new linear generating relations involving A-function of one variable.

[1]. Gautam, G. P. and Goyel, A. N.: Ind. J. Pure and Appl. Math. 1981, 12, 1094-1105.
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Abstract:objective of this paper is to develop a mathematical model for studying the non-Newtonian flow of blood in presence of mild stenosis. The variation of flux, dimensionless resistance to flow and skin friction with the variation of stenosis height for different values of yield stress have been incorporated here by using Casson fluid model. The numerical results are shown in graphical form. AMS Mathematics Subject Classification : 76Z05

Keywords: Casson flow, flow rate, wall shear stress, resistance to flow, Skin friction

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Abstract: As a new immigrant in NY City, I was happy to find a job, even though part-time at College, to teach Pre Algebra for students who need remedial basic skills and Medical Dosage Calculation. It was my wish to continue to work as teacher because I think I have experience and qualifications in this field (I used to work as a teacher in my native, in both levels: secondary and university). I am familiar to work with diverse native speakers‟ languages but in my very beginning activity as a teacher in NY City I faced problems with some students referring my native accent. Fortunately, Math has the same theory, exercises and practices all around the world.

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Abstract: The concept of Skolem difference mean labelling was introduced by K. Murugan and A. Subramanian [2]. The concept of Fibonacci labelling was introduced by David W. Bange and Anthony E. Barkauskas [1]in the form Fibonacci graceful. This motivates us to introduce Skolem difference Fibonacci mean labelling and is defined as follows: "A graph G with p vertices and q edges is said to have Skolem.............

Keywords: Skolem difference mean labelling, Fibonacci labelling, Skolem difference Fibonacci mean labelling

[1]. David W. Bange and Anthony E. Barkauskas, "Fibonacci graceful graphs" (1980).
[2]. K. Murugan and A. Subramanian, Skolem difference mean labelling of H- graphs, International Journal of Mathematics and Soft Computing, Vol.1, No. 1, (August 2011), p115-129.
[3]. J.A.Gallian, A Dynamic survey of graph labeling, The Electronic Journal of Combinatorics, 18(2014), #DS6.
[4]. Harary, Graph Theory, Addison Welsley (1969).
[5]. J.A.Bondy and U.S.R.Murthy, "Graph Theory and Applications" (North-Holland), Newyork, 1976.

Abstract: The aim of this paper is to provide some results and applications of continued fractions with matrix arguments. First, we recall some properties of matrix functions with real coefficients. Afterwards, we give a continued fraction expansion of the relative operator entropy and for the Ts all is relative operator entropy. At the end, we study some metrical equations

Keywords: Continued fraction expansion, positive definite matrix, relative operator entropy, Ts all is relative operator entropy.

[1]. T.Ando, Topics on operators inequalities, Ryukyu Univ. Lecture Note Series, 1 (1978).
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Abstract: The present study investigates the unsteady, two dimensional, laminar flow of a nanofluid over a stretching sheet with thermal dispersion in the presence of MHD and variable suction is studied. Two water - based nanofluids containing Copper Cu, Titanium dioxide TiO2 nanoparticles are considered in this study. Using the similarity transformations, the governing equations have been transformed into a system of ordinary differential equations..............

Keywords: Nanofluid, thermal dispersion, suction, MHD, thermal radiation.

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of the Taiwan Institute of Chemical Engineers, Vol.41(6), pp.651–655.
[4]. Fang T, Zhang J, Zhong Y., (2012), Boundary layer flow over a stretching sheet with variable thickness, Applied Mathematics and
Computation, Vol.218 (13), pp. 7241–7252.
[5]. Khader, M.M. and Megahed, A.M., (2015), Boundary layer flow due to a stretching sheet with a variable thickness and slip
velocity, Journal of Applied Mechanics and Technical Physics, Vol. 56 (2), pp 241–247.

Abstract: The ternary quadratic Diophantine equation 2 2 2 5(x  y ) 9xy  35z representing cone is analyzed for its non-zero distinct integer points on it

Keywords: Ternary quadratic, integral solutions, homogeneous cone. Mathematics Subject classification: 11D09

[1]. Mordell L.J., Diophantine Equations, Academic press, London (1969).
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[4]. Gopalan M.A., Manju Somanath and V.Sangeetha,On the Ternary Quadratic Equation 2 2 2 5(x  y ) 9xy 19z ,IJIRSET,Vol 2, Issue 6,2008-2010,June 2013.
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Abstract: In this paper we show that a2- and 3- divisible prime assosymmetric ring R is power associative, that is, (x, x, x) = 0.

Keywords: non-associative rings, power associative, commutator, associator, assosymmetric ring

[1]. E. Kleinfield, Proc. Amer. Math Soc. 8 (1957), 983-986.
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Abstract: The travelling salesman problem is to find the shortest route that the salesman visit all the places and return the source place with minimum cost. In this paper, we solve the assignment problem of maximize the profit and travelling salesman problem using octagonal fuzzy numbers . By ranking the octagonal fuzzy numbers it is possible to compare them and using this we convert the fuzzy valued number to a crisp value. It is proved that a better solution is obtained when it is solved using fuzzy octagonal number than when it is solved using trapezoidal fuzzy number. This method is easy to understand and apply to find optimal solution of fuzzy assignment problems and fuzzy travelling salesman problems occurring in real life situations.

Keywords: Octagonal Fuzzy Number, Fuzzy Assignment Problem, Fuzzy Travelling salesman problem, Fuzzy Ranking Method

[1]. C.B. Chen and C.M. Klein, A simple approach to ranking a group of aggregated uzzy utilities, IEEE Trans. Syst., Man, Cybern. B, SMC-27 (1997), 26-35.
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Abstract: In this paper we investigate prime labeling for some graphs related to an octopus graph. We discuss prime labeling in the context of some graph operations namely duplication, fusion, switching in an octopus graph 𝑂𝑛.

Keywords: Prime Labeling, Prime Graph, Octopus Graph, Duplication, Fusion, Switching, Coloring.

[1]. Bondy.J.A and Murthy.U.S.R, "Graph Theory and Applications" (North-Holland), Newyork, 1976.
[2]. Brooks R. L., "On colouring the nodes of a network". Proc. Cambridge Phil. Soc. 37:194–197, 1941.
[3]. Dretskyetal.T "on Vertex Prime labeling of graphs in graph theory", Combinatories and applications vol.1 Alari.J (Wiley. N.Y.) 299-359, 1991.
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Abstract: InIn this paper, we prove that the set of solutions of constraint equations for coupled Einstein and scalar fields in classical general relativity possesses Hilbert manifold structure. We follow the work of R. Bartnik,2 and use weighted Sobolev spaces and Implicit Function Theorem to prove our results.

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[3] R. Bartnik , The mass of an asymptotically flat manifold, Commu-nications on Pure and Applied Mathematics, Vol. XXXIX, (1986), 661-693.
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Abstract: In this article I will prove the Jacobian conjecture by using the Cauchy-Riemann equations 𝑂𝑛.

Keywords: Dans cet article je démontre la conjecture Jacobienne en utilisant les équations de Cauchy-Riemann

[1]. A. Białynicki-Birula and M. Rosenlicht], Injective morphisms of real algebraic varieties, Proceedings of the American
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inverse », Bull. Amer. Math. Soc. (New Series), 7, o 2, , 287-330 (OCLC 670617598, DOI 10.1090/S0273-0979-1982-15032-7).
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conjectures », Acta Math. Vietnam, 32, o 2-3, , 205-214.
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Abstract: The purpose of this note is to define "intuitionistic semiopen sets" in intuitionistic topological spaces and discuss its properties. Also, we define intuitionistic semiinterior and intuitionistic semiclosure of any intuitionistic set and study its properties.�.

Keywords: Intuitionistic set, intuitionistic topology, intuitionistic topological space, intuitionistic openset, intuitionistic closed set, interior and closure of IS , intuitionistic points.

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Abstract: In this paper, we have discussed the steady MHD flow of a couple stress fluid in a rotating parallel plate channel in a porous medium under the influence of a uniform transverse magnetic field taking into hall current. The perturbations are created by a constant pressure gradient along the plates. The equations for the couple stress fluid flow in the porous medium are based on Brinkman's model. The exact solution of the velocity and shear stresses on the boundaries are analytically derived, its behaviour computationally discussed with reference to the various governing parameters.�.

Keywords: Hall currents, steady flows, Rotating channels, Couple stress fluids, Brinkman's model.

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