TY - JOUR
A2 - Popowicz, Ziemowit
AU - Meng, Fanwei
AU - Feng, Qinghua
PY - 2018
DA - 2018/08/05
TI - Exact Solutions with Variable Coefficient Function Forms for Conformable Fractional Partial Differential Equations by an Auxiliary Equation Method
SP - 4596506
VL - 2018
AB - In this paper, an auxiliary equation method is introduced for seeking exact solutions expressed in variable coefficient function forms for fractional partial differential equations, where the concerned fractional derivative is defined by the conformable fractional derivative. By the use of certain fractional transformation, the fractional derivative in the equations can be converted into integer order case with respect to a new variable. As for applications, we apply this method to the time fractional two-dimensional Boussinesq equation and the space-time fractional (2+1)-dimensional breaking soliton equation. As a result, some exact solutions including variable coefficient function solutions as well as solitary wave solutions for the two equations are found.
SN - 1687-9120
UR - https://doi.org/10.1155/2018/4596506
DO - 10.1155/2018/4596506
JF - Advances in Mathematical Physics
PB - Hindawi
KW -
ER -