# A shifted Legendre spectral method for fractional-order multi-point boundary value problems

@inproceedings{Bhrawy2012ASL, title={A shifted Legendre spectral method for fractional-order multi-point boundary value problems}, author={Ali H. Bhrawy and M. M. Al-Shomrani}, year={2012} }

- Published 2012
DOI:10.1186/1687-1847-2012-8

In this article, a shifted Legendre tau method is introduced to get a direct solution technique for solving multi-order fractional differential equations (FDEs) with constant coefficients subject to multi-point boundary conditions. The fractional derivative is described in the Caputo sense. Also, this article reports a systematic quadrature tau method for numerically solving multi-point boundary value problems of fractional-order with variable coefficients. Here the approximation is based on… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 37 REFERENCES

## A new operational matrix for solving fractional-order differential equations

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## A numerical method for solving boundary value problems for fractional differential equations

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## The Legendre wavelet method for solving fractional differential equations

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

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