Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform

  title={Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform},
  author={Jagdev Singh and Devendra Kumar},
and Applied Analysis 3 4. Solution by Homotopy Perturbation Sumudu Transform Method (HPSTM) 4.1. Basic Idea of HPSTM. To illustrate the basic idea of this method, we consider a general fractional nonlinear nonhomogeneous partial differential equationwith the initial condition of the form D α t U (x, t) + RU (x, t) + NU (x, t) = g (x, t) , (11) U (x, 0) = f (x) , (12) where Dα t U(x, t) is the Caputo fractional derivative of the function U(x, t), R is the linear differential operator, N… CONTINUE READING

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