Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations-Reference-Cited by-同舟云学术

Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations

Published:2017-07-24 Issue:3 Volume:37 Page:2897-2921
ISSN:0101-8205
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Abd-Elhameed W. M.,Youssri Y. H.^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/article/10.1007/s40314-017-0488-z/fulltext.html

Reference56 articles.

1. Abd-Elhameed WM, Youssri YH (2014) New ultraspherical wavelets spectral solutions for fractional Riccati differential equations. Abstr Appl Anal 2014. doi: 10.1155/2014/626275

2. Abd-Elhameed WM, Doha EH, Bassuony MA (2015) On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds. Acta Math Sci 35(2):326–338

3. Abd-Elhameed WM, Doha EH, Youssri YH, Bassuony MA (2016) New Tchebyshev–Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations. Numer Methods Partial Differ Equ 32(6):1553–1571

4. Abd-Elhameed WM, Youssri YH (2015) New spectral solutions of multi-term fractional order initial value problems with error analysis. Cmes Comput Model Eng 105:375–398

5. Abd-Elhameed WM, Youssri YH (2016) A novel operational matrix of Caputo fractional derivatives of Fibonacci polynomials: spectral solutions of fractional differential equations. Entropy 18(10):345

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