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**On efficient method for system of fractional differential equations.**
*(English)*
Zbl 1217.65134

Summary: The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach, the solution is considered as a Taylor series expansion that converges rapidly to the nonlinear problem. The systems include fractional-order stiff system, the fractional-order Genesio system, and the fractional-order matrix Riccati-type differential equation. The new approximate analytical procedure depends only on two components. Comparing the methodology with some known techniques shows that the present method is relatively easy, less computational, and highly accurate.

### MSC:

65L05 | Numerical methods for initial value problems involving ordinary differential equations |

34A08 | Fractional ordinary differential equations |

65L04 | Numerical methods for stiff equations |

### Keywords:

homotopy perturbation method; system of fractional-order differential equations; series expansion; stiff system; fractional-order Genesio system; matrix Riccati-type differential equation
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\textit{N. A. Khan} et al., Adv. Difference Equ. 2011, Article ID 303472, 15 p. (2011; Zbl 1217.65134)

### References:

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