Variational approach for the fractional exothermic reactions model with constant heat source in porous medium

In this paper, a new fractional exothermic reactions model with constant heat source in porous media considering the memory effect is proposed. Applying complex transform, converted into its partner. Then variational principle of problem successfully established. Based on obtained principle, Ritz method used to seek solution model. Finally, correctness and effectiveness proposed are illustrated by numerical results aid MATLAB. The show that easy but effective, expected shed bright light practical applications calculus.