TY - JOUR
TI - New approximate solutions to time fractional order partial differential equations optimal auxilary function method
AU - Nawaz Rashid
AU - Ashraf Rashid
AU - Zada Laiq
AU - Ahmad Hijaz
AU - Farooq Muhammad
AU - Ahmad Imtiaz
AU - Tearnbucha Chutarat
AU - Sudsutad Weerawat
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 9
EP - 17
PT - Article
AB - In this article, approximate solutions of some PDE of fractional order are  investi­gated with the help of a new semi-analytical method called the  optimal auxiliary function method. The proposed method was tested upon the  time-fractional Fisher equation, the time-fractional Fornberg-Whitham  equation, and the time-fractional Inviscid Burger equation. The beauty of  this method is that there is no need for discretization and assumptions of  small or large parameters and provides an ap­proximate solution after only  one iteration. The numerical results obtained by the proposed method  compared with the other existing methods used in the literature. From the  numerical and graphical results, it is clear that the proposed method gives  a better solution than existing methods. The MATHEMATICA software pack­age  has been used for the huge computational work.