Publications

In this work, an analytical solution for a linear and nonlinear system of conformable fractional PDEs is obtained by applying a New conformable fractional ho-motopy perturbation technique (NCFHPT) with the help of fractional series expansion. In fact, the current method is a natural extension of NHPM for partial differential equation of real order in conformable sense. By constructing the homotopy transformation for a given system and gathering the coefficients with the identical power of p, a system of recursive equations is established. In addition, by a convenient assumption on the initial approximate solution. We can consecutively starting with this solution and working upward until getting general term of the intended coefficients to deduce a closed form series solution. The NCFHPT gives an analytical solution without making any lin-earization, rough conditions or discretization, especially for non-linear problems. This technique shows a powerful and a promise tool to solve linear and nonlinear systems of CFPDEs. The practicable validation and effectiveness of this method are demonstrated by three typical examples.