TY - JOUR
TI - Optimum solutions of space fractional order diffusion equation
AU - Ali Sajjad
AU - Shah Kamal
AU - Li Yongjin
AU - Arif Muhammad
JN - Thermal Science
PY - 2018
VL - 22
IS - 11
SP - 329
EP - 339
PT - Article
AB - The present paper is concerned with the implementation of optimal homotopy asymptotic method to handle the approximate analytical solutions of fractional order partial differential equations. Fractional differential equations have great importance regarding distinct fields of science and engineering. Approximate solutions of space fractional order diffusion model and its various special cases are handled using the innovative proposed method. The space fractional derivatives are described in the Caputo sense. The results obtained by the proposed method are compared with various methods. The proposed method demonstrates excellent accuracy and strength over various methods.