关键词: Jumarie&rsquo, s修正的R-L分数阶导数, Sumudu变换, 同伦扰动法, 近似解

Abstract: In this paper, it proposes a simple and efficient perturbative approach which is based on homotopy perturbation theory and Sumudu transform method, for solving Jumarie’s modified Riemann-Liouville（R-L）fractional equation with fractional initial conditions. However, nearly all the previous works avoid the term of fractional initial conditions. The results show the high accuracy, simplicity and efficiency of the technique.

Key words: Jumarie’s modified R-L fractional derivative, Sumudu transform, homotopy perturbation method, approximate solution