  This article is concerned with an approximate analytical solution for the
time fractional Kudryashov Sinelshchikov equation by using the reproducing
kernel Hilbert space method. The main tools of this method are reproducing
kernel theory, some important Hilbert spaces, the normal basis,
orthogonalisation process, and homogenization. The effectiveness of reproduc
ing kernel Hilbert space method is presented through the tables and graphs.
These computa tional results indicate that this method is highly accurate and
efficient for the time fractional Kudryashov Sinelshchikov equation. Also, it
is demonstrated that the approximate solution uniformly converges to exact
solution by using reproducing kernel Hilbert space method.
