The Solution of Fractional Diffusion-reaction Equation Via the Regular Perturbation Method (RPM)

---

Résumé

In this paper, we implement Regular Perturbation Method (RPM) of the Solving fractional diffusion-reaction equation, in order to determine the exact analytical solutions of some linear fractional diffusion-reaction equation. In general, the solving using this method allow to obtain exact or approximate solutions. For the case of the diffusion and diffusion-convection equations solved in this document, the solutions obtained are exact. By comparing these solutions with those obtained by other researchers using other methods for a certain value of the parameter
, we obtain the same results.

Mots-clés

Linear fractional diferential equation regular perturbation method Mittag-Leer Caputo fractional derivative or integral