India are battling hard on the fifth and final day of the opening Test in Adelaide on Saturday against a Nathan Lyon-led Australian bowling attack.

Half-centuries from Murali Vijay and captain Virat Kohli have given India hope after opener Shikhar Dhawan was out for 9 and Cheteshwar Pujara for 21.

Earlier, the hosts declared their second innings at 290/5, setting India a target of 364.

India lost two wickets but were resisting Australia's bowlers well on the final day of the opening Adelaide Test on Saturday.

Faced with an improbable 364 winning target off a minimum 98 overs after Australia declared on their overnight score of 290 for five, the tourists were 105 for two at lunch.

Opener Murali Vijay was unbeaten on 47 with skipper Virat Kohli not out 25.

In hot sunny conditions, the Indians lost the wickets of Shikhar Dhawan and Cheteshwar Pujara in the extended morning session, but Vijay and Kohli safely got their team through to lunch.
India face an against-the-odds target with no team scoring more than 315 to win a Test match at the Adelaide Oval since Australia overhauled England at the ground in 1902.

Dhawan appeared to get a bad call by umpire Ian Gould when he was given out caught behind off a Mitchell Johnson bouncer for nine in the day's fifth over.

Replays indicated that the ball came off Dhawan's shoulder and not glove as wicketkeeper Brad Haddin took an athletic catch down the leg-side.

Vijay survived a big shout on 24 for leg before wicket going back on his stumps off Lyon.

Umpire Marais Erasmus turned down Lyon's vociferous appeal and replays showed the ball would have hit the stumps.

Pujara was done by one that Lyon straightened and he edged to Haddin for 21 in the 20th over leaving the tourists at 57 for two.