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In this paper, the time fractional reaction-diffusion equations with the Caputo fractional derivative are solved by using the classical L1-formula and the finite volume element (FVE) methods on triangular grids. The existence and uniqueness for the fully discrete FVE scheme are given. The stability result and optimal a priori error estimate in L^2(Ω)-norm are derived, but it is difficult to obtain the corresponding results in H^1(Ω)-norm, so another analysis technique is introduced and used toarXiv:2101.12541v1 fatcat:lxxijgauongohku3qhojvliho4