Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs

Document Type : Research Paper


Department of Applied Mathematics, Faculty of Mathematical Sciences University of Guilan, Rasht, Iran. P. O. Box 1841


Abstract. In this work, it has been shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve time fractional generalized KdV of order 2q+1 and certain fractional PDEs. It is shown that exponential operators are an effective method for solving certain fractional linear equations with non-constant coefficients. It may be concluded that the combined use of integral transforms and exponential operator method is very efficient tool in finding exact solutions for ordinary and partial differential equations with fractional order. Finally, illustrative examples are also provided.


  • Receive Date: 15 October 2016
  • Revise Date: 24 May 2017
  • Accept Date: 02 July 2017
  • First Publish Date: 02 July 2017