Author/Authors :
lee, meng oon university of malaya - institude of mathematical sciences, faculty of science, Malaysia , kumaresan, n. university of malaya - institude of mathematical sciences, faculty of science, Malaysia , ratnavelu, kuru university of malaya - institude of mathematical sciences, faculty of science, Malaysia
Abstract :
This paper presents an efficient analytical solution for fuzzy fractional differential equations (FDEs) using homotopy analysis method. HAM is the generalization of various methods like homotopy perturbation method and Adomian decomposition method. The main advantage is its rapid convergence to the solution without using perturbation or restrictive assumptions. Illustrative numerical exampls are presented for the proposed method.
Keywords :
Caputo’s fractional derivative , fuzzy fractional differential equations , homotopy analysis method , fuzzy Bagley , Torvik equation