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.
Ghazanfari, B., & Sepahvandzadeh, A. (2015). Homotopy perturbation method for solving fractional Bratu-type equation. Journal of Mathematical Modeling, 2(2), 143-155.
MLA
Bahman Ghazanfari; Amaneh Sepahvandzadeh. "Homotopy perturbation method for solving fractional Bratu-type equation". Journal of Mathematical Modeling, 2, 2, 2015, 143-155.
HARVARD
Ghazanfari, B., Sepahvandzadeh, A. (2015). 'Homotopy perturbation method for solving fractional Bratu-type equation', Journal of Mathematical Modeling, 2(2), pp. 143-155.
VANCOUVER
Ghazanfari, B., Sepahvandzadeh, A. Homotopy perturbation method for solving fractional Bratu-type equation. Journal of Mathematical Modeling, 2015; 2(2): 143-155.
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