Table 2: The approximate solution of fractional Rosenau-Hynam using fifth iterate of VIM and fifth terms of HPM in different values of , that is, , and 0.9 and when .

VIM HPM VIM HPM VIM HPM VIM HPM Exact

−2.6345127 −2.6293263 −2.6251671 −2.6239643 −2.6172579 −2.6171710 −2.6099581 −2.6099581 −2.6099581
−2.6345745 −2.6342711 −2.6474590 −2.6477297 −2.6563851 −2.6450822 −2.6609433 −2.6609420 −2.6609420
−2.5722042 −2.5854045 −2.6080979 −2.6122085 −2.6365766 −2.6372049 −2.6590258 −2.6589984 −2.6589984

−2.4277172 −2.4226797 −2.4036916 −2.4024670 −2.3832715 −2.4054513 −2.3655561 −2.3655561 −2.3655561
−2.5350335 −2.5308256 −2.5303337 −2.5295597 −2.5232013 −2.5409052 −2.5126533 −2.5126523 −2.5126523
−2.5563768 −2.5641211 −2.5831444 −2.5854712 −2.6015950 −2.6030469 −2.6127547 −2.6127328 −2.6127328

−0.5752642 −2.0501900 −0.5416828 −2.0182039 −0.5130518 −1.9893536 −0.4893583 −0.4893583 −1.9640076
−0.8341872 −2.5308256 −0.7891721 −2.2292752 −0.7486279 −2.1055837 −0.7112517 −0.7112526 −2.1848220
−1.0486958 −2.3554614 −1.0195238 −2.3681073 −0.9896491 −2.3733581 −0.9579284 −0.9579473 −2.3716903

−1.5711438 −2.4226797 −1.5304096 −1.5296754 −1.4957251 −1.5301673 −1.4664446 −1.4664446 −1.4664446
−1.8301141 −2.5308256 −1.7949603 −1.7925916 −1.7612479 −1.7971174 −1.7273603 −1.7273603 −1.7273603
−1.9968865 −2.5641211 −1.9951864 −1.9932084 −1.9871083 −2.0042754 −1.9725695 −1.9725674 −1.9725674