%0 Journal Article
%T Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Aghili, Arman
%D 2017
%\ 07/01/2017
%V 5
%N 3
%P 246-255
%! Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs
%K fractional partial differential equations
%K Exponential operational method
%K Riemann - Liouville fractional derivative
%K Laplace transform
%K Caputo fractional derivative
%R
%X 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.
%U https://cmde.tabrizu.ac.ir/article_6264_d2e4727a6beb591cee79f9e6a10865c7.pdf