(α+2)-Dimensional fractional evolution equation: group classification, symmetries, reduction and conservation laws

A preliminary group classification based on symmetry operators is applied to study invariance properties of the time-fractional (α+2)-dimensional fractional evolution equation. The concepts of Riemann–Liouville and Caputo fractional derivatives are used in this study. The similarity variables obtained from symmetries and one-dimensional optimal systems of constructed Lie algebras are used in order to find the group-invariant solutions of the equation. Finally conservation laws of the equation are derived via a modified version of Noether’s theorem.