Volume-5 ~ Issue-3
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Paper Type | : | Research Paper |
Title | : | Solution of some stochastic differential equation |
Country | : | Saudi Arabia |
Authors | : | Dr. Sana Hussein |
: | 10.9790/5728-0530105 | |
Keywords: stochastic differential equations, ito integral ito formula
Heidelberg New York
2 Bernt Qksendal (1998): Stochastic differential equations an introduction with application, fifth edition Springer –Verlage Berlin
Heidelberg Italy
3 John Kerl (2008): Problems in stochastic differential equations, Springer
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6 Hui- Hsiung Kuo (2006): introduction to stochastic integration -Springer
7 William, D.(1981)(edior):stochastic integrals –lecture notes in mathematics ,vol.851-Springer –Verlag
8 Karatzas, I., Shereve, S.E. (1991): Brownian motion and stochastic calculus. Second edition.Springer-Verlag
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Paper Type | : | Research Paper |
Title | : | Solutions for Nonlinear Partial Differential Equations By Tan-Cot Method |
Country | : | Iraq |
Authors | : | Mahmood Jawad Abdul Rasool Abu Al-Shaeer |
: | 10.9790/5728-0530611 | |
Abstract:In this paper, we established a traveling wave solution by using the proposed Tan-Cot function algorithm for nonlinear partial differential equations. The method is used to obtain new solitary wave solutions for various type of nonlinear partial differential equations such as, the (1+1)-dimensional Ito equation, Pochhammer-Chree (PC) equation, MIKP equation, Konopelchenko and Dubrovsky (KD) system of equations which are the important Soliton equations. Proposed method has been successfully implemented to establish new solitary wave solutions for the nonlinear PDEs.
Keywords: Nonlinear PDEs, Exact Solutions, Tan-Cot function method.
by the Rational Sine-Cosine Method. Studies in Mathematical Sciences, Vol. 3, No. 1, pp. 1-9.
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Solitons Fractals, Vol. 31, No. 4, pp. 840-852.
[4] Xia, T.C., Li, B. and Zhang, H.Q. (2001). New explicit and exact solutions for the Nizhnik- Novikov-Vesselov equation, Appl. Math. E-Notes, Vol. 1, pp. 139-142.
[5] Inc, M., Ergut, M. (2005). Periodic wave solutions for the generalized shallow water wave equation by the improved Jacobi ell iptic
function method, Appl. Math. E-Notes, Vol. 5, pp. 89-96.
[6] Zhang, Sheng. (2006). The periodic wave solutions for the (2+1) -dimensional Konopelchenko Dubrovsky equations, Chaos Solitons
Fractals, Vol. 30, pp. 1213-1220.
[7] Feng, Z.S. (2002). The first integer method to study the Burgers-Korteweg-de Vries equation, J Phys. A. Math. Gen, Vol. 35, No. 2,
pp. 343-349.
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Studies in Mathematical Sciences Vol. 5, No. 2, pp. 13-25.
[10] A.M. Wazwaz, Multiple-soliton solutions for the generalized (1+1)-dimensional and the generalized (2+1)-dimensional Ito equations, Appl. Math. Comput. 202 (2008): 840–849.
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Paper Type | : | Research Paper |
Title | : | Solution of Differential Equations using Exponential of a Matrix |
Country | : | India |
Authors | : | Jervin Zen Lobo, Terence Johnson |
: | 10.9790/5728-0531217 | |
Keywords: matrix,fundamental matrix, ordinary differential equations, systems of ordinary differential equations, eigenvalues and eigenvectors of a matrix, diagonalisation of a matrix, nilpotent matrix, exponential of a matrix
Vol 45 No 1 pp. 3-000 (2003 Society for industrial and Applied Mathematics
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Chang Chun 130012 P.R china.
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Keywords: incline channel, porous medium, electromagnetic force,
permeability. Int. J. Heat Mass Transfer 39:1331
[2] Al-Nimr MA, Haddad OM (1999) Fully developed free convection in open-ended vertical channels partially filled with porous
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the influence of a uniform magnetic field, ActaMechanica, 44, 3-4 141-158
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current effects in rotating porous media 53rd congress Indian society Theoretical and Applied Mechanics, University college of
Engineering, Osmania University, Hyderabad, India December, 147-157
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and Joule heating effects: Network numerical solutions communications in Nonlinear science and Numerical Simulation, 14 1082-
1097
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continuously moving surface. Applied Mathematical Sciences, 4; 2; 65-78
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Keywords: Generalized Kampé de Fériet function, Multiplication formula for Gamma-function, Heat conduction, Radial wave function.
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Abstract: Closed-form analytical expressions for the displacement and stresses at an arbitrary point caused by strike-slip line source buried in a homogeneous, isotropic, perfectly elastic half-space with rigid boundary are obtained. These expressions are used, further, to find the expressions for the displacement and stresses caused by vertical as well as horizontal strike-slip line source. The variation of the displacement and stress fields due to vertical strike-slip line source and horizontal strike-slip line source with distance from the fault and depth from the fault is studied numerically.
Keywords – Half-space, rigid boundary, static deformation, strike-slip faulting
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Geological Fault In Two- Phase Medium, Int. J. of Ecological Economics and Statistics, vol. 19, 2010, 47-65.
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due to a very Long Inclined Strike-slip Fault Embedded in a Layer, Indian J. pure. Appl. Math., vol. 28, 1997, 697-712.
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Paper Type | : | Research Paper |
Title | : | On Quasi -open and Quasi -closed Functions |
Country | : | India |
Authors | : | J.Antony Rex Rodrigo, A.Hana Selvi Jansi |
: | 10.9790/5728-0535356 | |
Abstract: The purpose of this paper is to give a new type of open function called quasi -open function. Also, we obtain its characterizations and its basic properties. 2000 AMS Subject Classification 54C10;54C08;54C05
Keywords Topological spaces, -open set, -closed set, -interior, -closure, quasi -open function and quasi -closed functions
Technology Research (IJSETR) Volume 2,Issue 1, January 2013.
[2] J. Antony Rex Rodrigo and A. Hana Selvi Jansi, On h* - closed sets in topological spaces.(communicated)
[3] J. Antony Rex Rodrigo, A. Hana Selvi Jansi, and Jessie Theodore - On h* - open sets in topological spaces.(communicated)
[4] K. Balachandran, P. Sundaram and H. Maki. On generalized continuous maps in topological spaces . Mem, Fac. Sci. Kochi Univ.
Ser. A. Math. (1991), 5 – 13.
[5] P. Bhattacharya and B. K. Lahiri, Semi – generalized closed sets in topology, Indian J . Pure. Appl, Math., closed sets in topology,
(1987), 375 – 382.
[6] S.G. Crossley and S. K. Hildebrand Semi – topological properties, Fund. Math., (1972). 233 – 254.
[7] R. Devi, H. Maki and K. Balachandran Semi – generalized homeomorphisms and generalized Semi - homeomorphisms in
topological spaces, Indian J . Pure. Appl, Math., (1995), 271 – 284.
[8] N. Levine.Generalized closed sets in topology, Rend. Circ. Math.. Palermo, (1970), 89 – 96.
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Math.Sci.Soc.(2)31(20(2008),217-221.
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Paper Type | : | Research Paper |
Title | : | Fractional Fourier Transform of Boehmians |
Country | : | India |
Authors | : | S.B. Gaikwad |
: | 10.9790/5728-0535769 | |
Abstract: In this paper we introduce two spaces of Boehmians each of which contains the dual of a certain space of entire functions. Both these spaces of Boehmians are shown to be isomorphic to each other under the Fractional Fourier transform. We extend the theory of the Fractional Fourier transform on this new Boehmians space. Mathematics Subject Classification: (2000) 44A15, 44A40, 46F12, 44-99.
Key Words and Phrases: Boehmians, Convolution, entire function, Fractional Fourier transform, Tempered distributions
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[2] Bhosale, B.N., Topics in the Theory of integral Transformations of generalized Functions, Doctoral Thesis, University of
Kolhapur, India (2001).
[3] Bhosale, B.N.and Chaudhary, M.S., Fractional Fourier Transform of Distributions of Compact support, Bull. Cul. Math. Soc.
94, No. 5, (2002), 349-358.
[4] Howell, K.B., A new theory of Fourier analysis, part I, The space of test functions, J. Math. Anal. Appl. 168, (1992), 342-350.
[5] Howell, K.B., A new theory of Fourier analysis, part II, Further analysis on space of test functions, J. Math. Anal. Appl. 173,
(1993), 419-429.
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257-267.
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International J. for theory & Appl., Vol. 5, No. 2, (2002), 181-194.
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(2000), 197-216.
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Paper Type | : | Research Paper |
Title | : | Splitting of Bigraphs |
Country | : | Iran |
Authors | : | Fatemeh Rahimi, Sara Eslamiyan, Zeinab Rahimifirouzabad |
: | 10.9790/5728-0537073 |
Abstract: In this paper we are going to define splitting on bigraphs. The purpose of this paper is that however investigation of created graph by splitting is bipartite graph (Bigraph) or not? We show that after of operation of splitting on the one of the vertices of bigraph, the graph is also bigraph. Another rule is proved in this paper, is that if the graph is connected then the resulting bi graph is also connected.
Keywords: bipartite graph, bigraph, splitting, connected graph, matrix, incident matrix, adjacency matrix
3-12
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[5] M. M. Shikare, Gh, Azadi, Generalization of splitting of operation to binary matroids, 2003
[6] D. B. West, Introduction To Graph Theory, New Delhi-110001, 2009