Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900735 | Applied Mathematics and Computation | 2018 | 16 Pages |
Abstract
In this paper, the approximate analytic solution of any order space-time fractional differential equations is constructed by means of semi-analytical method, named as residual power series method (RPSM). The first step is to reduce space-time fractional differential equation to either a space fractional differential equations or a time fractional differential equations before applying RSPM. The main step is to obtain fractional power series solutions by RSPM. At the final step, it is shown that RPSM is very efficacious, plain and powerful for obtaining the solution of any-order space-time fractional differential equations in the form of fractional power series by illustrative examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mine Aylin Bayrak, Ali Demir,