Numerical approach based on fractional-order Lagrange polynomials for solving a class of fractional differential equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s40314-017-0547-5/fulltext.html
Reference41 articles.
1. Abd-Elhameed WM, Youssri YH (2017) Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations. Comput Appl Math 1–25. https://doi.org/10.1007/s40314-017-0488-z
2. Baillie RT (1996) Long memory processes and fractional integration in econometrics. J Econ 73:5–59
3. Benson DA, Meerschaert MM, Revielle J (2013) Fractional calculus in hydrologic modeling: a numerical perspective. Adv Water Resour 51:479–497
4. Bhrawy AH, Alhamed YA, Baleanu D (2014) New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. Fract Calc Appl Anal 17:1138–1157
5. Bohannan GW (2008) Analog fractional order controller in temperature and motor control applications. J Vib Control 14:1487–1498
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