University of Guilan Journal of Mathematical Modeling 2345-394X 2 2 2015 05 01 Homotopy perturbation method for solving fractional Bratu-type equation 143 155 107 EN Bahman Ghazanfari Amaneh Sepahvandzadeh Journal Article 2015 05 21 In this paper, the homotopy perturbation method (HPM) is applied to obtain an approximate solution of the fractional Bratu-type equations. The convergence of the method is also studied. The fractional derivatives are described in the modied Riemann-Liouville sense. The results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional problems. https://jmm.guilan.ac.ir/article_107_725bc812f5af8d343b694b6aaea5013e.pdf