Lie algebra and conservation laws for the time-fractional heat equation

The Lie symmetry method is applied to derive the point symmetries for N-dimensional fractional heat equation. We find that numbers of and brackets are reduced significantly as compared integer order all dimensions. In fact linear equation number solution equal product space dimension, whereas case, it half on dimension. algebras equations mentioned using subsequent computations by inspection. Interestingly, observed one-dimensional equation, algebra obtained inspection similar result computation brackets, which A1⊕A2⊕∞A1. two-dimensional be (2A1⊕sso(2))⊕s2A1⊕s∞A1, deduced A3,6⊕so(2)⊕sA1⊕s∞A1. Hence, can concluded from nonzero conflated Further, three four-dimensional conservation laws explicitly stated.