In this paper, a new analytical method called the Natural Homotopy Perturbation Method (NHPM) for solving linear and the nonlinear fractional partial differential equation is introduced. The proposed analytical method is an elegant combination of a wellknown method, Homotopy Perturbation Method (HPM) and the Natural Transform Method (NTM). In this new analytical method, the fractional derivative is computed in Caputo sense and the nonlinear terms are calculated using He’s polynomials. Exact solution of linear and nonlinear fractional partial differential equations are successfully obtained using the new analytical method, and the result is compared with the result of the existing methods.
Digital Object Identifier (DOI)
Maitama, Shehu and Abdullahi, Ibrahim
"A New Analytical Method for Solving Linear and Nonlinear Fractional Partial Differential Equations,"
Progress in Fractional Differentiation & Applications: Vol. 2
, Article 2.
Available at: https://dc.naturalspublishing.com/pfda/vol2/iss4/2