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Bhalekar, Sachin; Daftardar-Gejji, Varsha

Solving fractional-order logistic equation using a new iterative method. (English) Zbl 1269.34015

Int. J. Differ. Equ. 2012, Article ID 975829, 12 p. (2012).
Summary: A fractional version of the logistic equation is solved using a new iterative method proposed by the second author and H. Jafari [J. Math. Anal. Appl. 316, No. 2, 753–763 (2006; Zbl 1087.65055)]. Convergence of series solutions obtained is discussed. The solutions obtained are compared with the Adomian decomposition method and the homotopy perturbation method.

Cited in 10 Documents

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34A08 Fractional ordinary differential equations

Keywords:

Adomian decomposition method; homotopy perturbation

Citations:

Zbl 1087.65055
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\textit{S. Bhalekar} and \textit{V. Daftardar-Gejji}, Int. J. Differ. Equ. 2012, Article ID 975829, 12 p. (2012; Zbl 1269.34015)
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References:

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