Analytical solution of Bagley-Torvik equations using Sumudu transformation method

AbstractImprovement in some aspect of ecology and financial mathematics is strongly dependent on the analytical solution of Bagley-Torvik equations. The aim of this manuscript is to find the analytical solution of Bagley-Torvik equations which belongs to a class of fractional differential equation by the use of Sumudu transformation method (STM). Here the fractional derivatives are well-defined in Caputo sense. First, some fundamental properties of STM are given, and then STM is applied to the Bagley-Torvik equation which gives an exact solution. The proposed method is an easy, highly efficient and robust method for finding the exact solution.

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