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Mean Square Solutions of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method

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2013

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Editura Academiei Romane

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Abstract

In this paper, the Homotopy Analysis Method (HAM) is successfully applied for solving second-order random differential equations, homogeneous or inhomogeneous. Expectation and variance of the approximate solutions are computed. Several numerical examples are presented to show the ability and efficiency of this method.

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Keywords

Random Differential Equations, Stochastic Differential Equation, Homotopy Analysis Method, Uniform Random Variable And Beta Random Variable

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Citation

Golmankhaneh, Alireza K.; Porghoveh, Neda A.; Baleanu, D. "Mean Square Solutıons of Second-Order Random Differential Equatıons By Using Homotopy Analysis Method", Romanian Reports In Physics, Vol. 65, No. 2, pp..350,361, (2013)

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Source

Romanian Reports In Physics

Volume

65

Issue

2

Start Page

350

End Page

361