Theoretical Mathematics & Applications

Analytical approximation solution of pseudo-parabolic Fractional Equation using a modified doublelaplace decomposition method

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• Abstract

  In this paper, the modification of double Laplace decomposition method is proposed for the analytical approximation solution of pseudo parabolic fractional equation with initial conditions. Some examples are given to support the validity and applicability of the presented method. In addition, we check the convergence of double Laplace method applied to our problem.
  

  Keywords: Double Laplace transform, inverse double Laplace transform, singular pseudo-parabolic fractional equation, single Laplace transform, decomposition methods.