Table 1: The approximate solution of fractional Rosenau-Hynam equation using fifth iterates 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

−1.3027037 −1.3020263 −1.2995666 −1.2994063 −1.2968978 −1.2968865 −1.1139217 −1.2945674 −1.2945674
−1.3163161 −1.3160219 −1.3159022 −1.3158706 −1.3150924 −1.3150940 −1.3137953 −1.3137952 −1.3137952
−1.3194666 −1.3204884 −1.3228476 −1.3231121 −1.3251352 −1.3251648 −1.3265574 −1.3265572 −1.3265572

−1.1781765 −1.1775095 −1.1715349 −1.1713677 −1.1658775 −1.1658583 1.1610425 −1.1610425 −1.1610425
−1.2168471 −1.2161259 −1.2124978 −1.2123777 −1.2080227 −1.2079404 −1.2032236 −1.2032236 −1.2032236
−1.2404292 −1.2410937 −1.2415934 −1.2417625 −1.2413894 −1.2412100 −1.2400439 −1.2400437 −1.2400437

−0.4677769 −0.9752216 −0.4579952 −0.9664930 −0.4496547 −1.1658655 −0.4426464 −0.2194117 −0.4426464
−0.5359648 −1.0325797 −0.5255989 −1.0258054 −0.5158600 −1.0185228 −0.5064510 −0.2710013 −0.5064510
−0.5899819 −1.0742478 −0.5848618 −1.0728597 −0.5788060 −1.0701462 −0.5718564 −0.3265443 −0.5718565

−0.7263173 −0.7259589 −0.7160797 −0.7159725 −0.7073528 −0.7073345 −0.6999861 −0.6999861 −0.6999861
−0.7945239 −0.7933266 −0.7847888 −0.7845575 −0.7754812 −0.7753489 −0.7662921 −0.7662921 −0.7662921
−0.8456349 −0.8453513 −0.8421984 −0.8421178 −0.8374790 −0.8371566 −0.8316027 −0.8316026 −0.8316026