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**Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials.**
*(English)*
Zbl 1470.65145

Summary: This paper presents a computational approach for solving a class of nonlinear Volterra integro-differential equations of fractional order which is based on the Bernoulli polynomials approximation. Our method consists of reducing the main problems to the solution of algebraic equations systems by expanding the required approximate solutions as the linear combination of the Bernoulli polynomials. Several examples are given and the numerical results are shown to demonstrate the efficiency of the proposed method.

### MSC:

65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |

34K37 | Functional-differential equations with fractional derivatives |

45J05 | Integro-ordinary differential equations |

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\textit{E. Tohidi} et al., Abstr. Appl. Anal. 2014, Article ID 162896, 7 p. (2014; Zbl 1470.65145)

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### References:

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