A　reconstructive　scheme　for　variational　iteration　method　using　the　Yang-Laplace　transform　is　proposed　and　developed　with　the　Yang-Laplace　transform.　The　identification　of　fractal　Lagrange　multiplier　is　investigated　by　the　Yang-Laplace　transform.　The　method　is　exemplified　by　a　fractal　heat　conduction　equation　with　local　fractional　derivative.　The　results　developed　are　valid　for　a　compact　solution　domain　with　high　accuracy.