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Zbl 1152.34311
Odibat, Zaid; Momani, Shaher
Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order. (English)
[J] Chaos Solitons Fractals 36, No. 1, 167-174 (2008). ISSN 0960-0779

Summary: In this paper, a modification of He's homotopy perturbation method is presented. The new modification extends the application of the method to solve nonlinear differential equations of fractional order. In this method, which does not require a small parameter in an equation, a homotopy with an imbedding parameter $p \in [0, 1]$ is constructed. The proposed algorithm is applied to the quadratic Riccati differential equation of fractional order. The results reveal that the method is very effective and convenient for solving nonlinear differential equations of fractional order.

MSC 2000:: *34A45 Theoretical approximation of solutions of ODE

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Zentralblatt MATH Berlin [Germany]