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Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 28, Issue 3, 2010, Pages 466-476 PDF (486.41 K) | ||
| DOI: 10.30684/etj.28.3.4 | ||
| Author | ||
| Ahmed M. Shuker | ||
| Abstract | ||
| The main goal of this paper lies briefly in submitting and modifying some numerical methods for solving system of linear Fractional order Integro- Differential Equations of Fredholm type (L.FFIDE's). in this method four kinds of shifted Chybeshev polynomials (T*,U*,V*and W*) are used as a bases of independed polynomials approximation fn(x) .The general fractional derivatives of these polynomials are formulated (Da Tn* , Da U n* , Da Vn*andD aWn* ) in the framework of the Riemann-liouville definition .Some numerical examples are solving to show that the different between these polynomials , furthermore Algorithms and programs by using MATLAB program are given . | ||
| Keywords | ||
| Shifted Chybeshev Polynomials; System of fractional integrodifferential equations | ||
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