iosr-Jm   Volume-10 ~ Issue-6 ~ Nov-Dec 2014

Abstract: In this paper, we implement Adomian decomposition method for solving numerically non-linear delay differential equations of fractional order. The fractional derivative will be in the Caputo sense. In this approach, the solutions are found in the form of a convergent power series with easily computed components. Some numerical examples are presented to illustrate the accuracy and ability of the proposed method.

Keywords: Adomian decomposition method, delay differential equations, fractional calculus, fractional delay differential equations.

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Abstract: In this article, the effect of variable prestress on the behavior of thin beam on constant elastic foundation is presented. The moving load is distributed over the entire span of the beam and governs by fourth order partial differential equation. It is shown from the numerical analysis that the higher values of axial force N , the lower the amplitude response of the beam with variable prestress. The same argument goes for foundation rigidity b K . Results in plotted curves indicate that resonance is reached earlier in moving mass solution than moving force solution.
Keywords: Distributed load, Prestress, Resonance, Response, Thin beam.

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Abstract: In this paper we present the Painlevè test for the (1+1) –dimensional travelling regularized long wave (TRLW) equation, the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation, the modified improved Kadomtsev-Petviashvili equation (MIKP) and the variant shallow water wave equations. The associated Bäcklund transformations are obtained directly from the Painlevè test.
Keywords: the (1+1) –dimensional travelling regularized long wave (TRLW) equation, the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation, the modified improved Kadomtsev-Petviashvili equation (MIKP), the variant shallow water wave equations and Painlevè analysis.� 𝐿 satisfying

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