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The shifted fractional Chebyshev\u2013Gauss collocation points are used as interpolation nodes, and the solution of the VO-FBTE is approximated by a truncated series of the shifted Chebyshev polynomials. The residuals are calculated at the shifted fractional Chebyshev\u2013Gauss quadrature points. The original VO-FBTE is converted into a system of algebraic equations. The accuracy of the proposed scheme is confirmed with a set of numerical examples, and the results are compared with those obtained by other methods.<\/jats:p>","DOI":"10.1515\/ijnsns-2021-0395","type":"journal-article","created":{"date-parts":[[2022,10,6]],"date-time":"2022-10-06T20:08:41Z","timestamp":1665086921000},"page":"1613-1630","source":"Crossref","is-referenced-by-count":3,"title":["A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley\u2013Torvik differential equation"],"prefix":"10.1515","volume":"24","author":[{"given":"Ahmed Z.","family":"Amin","sequence":"first","affiliation":[{"name":"Faculty of Science & Technology, Department of Mathematical Sciences , Universiti Kebangsaan , Bangi , Selangor , Malaysia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7359-4370","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, LAETA\/INEGI , University of Porto , Porto , Portugal"}]},{"given":"Ishak","family":"Hashim","sequence":"additional","affiliation":[{"name":"Faculty of Science & Technology, Department of Mathematical Sciences , Universiti Kebangsaan , Bangi , Selangor , Malaysia"}]}],"member":"374","published-online":{"date-parts":[[2022,10,6]]},"reference":[{"key":"2023083109380986868_j_ijnsns-2021-0395_ref_001","doi-asserted-by":"crossref","unstructured":"S. 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