Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations
The main goal of this paper lies briefly in submitting and modifying somenumerical methods for solving system of linear Fractional order Integro- DifferentialEquations of Fredholm type (L.FFIDE's). in this method four kinds of shiftedChybeshev polynomials (T*,U*,V*and W*) are used as a bases of...
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2010-01-01
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| Series: | Engineering and Technology Journal |
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| Online Access: | https://etj.uotechnology.edu.iq/article_26969_443a409f6f95bb4539ece2bf90b73221.pdf |
| _version_ | 1797325393423761408 |
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| author | Ahmed M. Shuker |
| author_facet | Ahmed M. Shuker |
| author_sort | Ahmed M. Shuker |
| collection | DOAJ |
| description | The main goal of this paper lies briefly in submitting and modifying somenumerical methods for solving system of linear Fractional order Integro- DifferentialEquations of Fredholm type (L.FFIDE's). in this method four kinds of shiftedChybeshev polynomials (T*,U*,V*and W*) are used as a bases of independedpolynomials approximation fn(x) .The general fractional derivatives of thesepolynomials are formulated (Da Tn* , Da U n* , Da Vn*andD aWn* ) in theframework of the Riemann-liouville definition .Some numerical examples aresolving to show that the different between these polynomials , furthermoreAlgorithms and programs by using MATLAB program are given . |
| first_indexed | 2024-03-08T06:08:50Z |
| format | Article |
| id | doaj.art-b7d77377fe284802b997fcdf3819f93b |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:08:50Z |
| publishDate | 2010-01-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-b7d77377fe284802b997fcdf3819f93b2024-02-04T17:44:23ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582010-01-0128346647610.30684/etj.28.3.426969Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential EquationsAhmed M. ShukerThe main goal of this paper lies briefly in submitting and modifying somenumerical methods for solving system of linear Fractional order Integro- DifferentialEquations of Fredholm type (L.FFIDE's). in this method four kinds of shiftedChybeshev polynomials (T*,U*,V*and W*) are used as a bases of independedpolynomials approximation fn(x) .The general fractional derivatives of thesepolynomials are formulated (Da Tn* , Da U n* , Da Vn*andD aWn* ) in theframework of the Riemann-liouville definition .Some numerical examples aresolving to show that the different between these polynomials , furthermoreAlgorithms and programs by using MATLAB program are given .https://etj.uotechnology.edu.iq/article_26969_443a409f6f95bb4539ece2bf90b73221.pdfshifted chybeshev polynomialssystem of fractional integrodifferential equations |
| spellingShingle | Ahmed M. Shuker Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations Engineering and Technology Journal shifted chybeshev polynomials system of fractional integrodifferential equations |
| title | Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations |
| title_full | Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations |
| title_fullStr | Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations |
| title_full_unstemmed | Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations |
| title_short | Shifted Chybeshev Polynomials for a Certain System of Fractional Order Integro-Differential Equations |
| title_sort | shifted chybeshev polynomials for a certain system of fractional order integro differential equations |
| topic | shifted chybeshev polynomials system of fractional integrodifferential equations |
| url | https://etj.uotechnology.edu.iq/article_26969_443a409f6f95bb4539ece2bf90b73221.pdf |
| work_keys_str_mv | AT ahmedmshuker shiftedchybeshevpolynomialsforacertainsystemoffractionalorderintegrodifferentialequations |