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We then apply the given formula to reduce our problem to the problem of solving a system of algebraic equations. Several examples are included to show the the effectiveness of our numerical method and in comparison with previous methods.<\/jats:p>","DOI":"10.1177\/0142331219890171","type":"journal-article","created":{"date-parts":[[2019,12,18]],"date-time":"2019-12-18T07:15:23Z","timestamp":1576653323000},"page":"1334-1344","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":37,"title":["A numerical method for fractional pantograph differential equations based on Taylor wavelets"],"prefix":"10.1177","volume":"42","author":[{"given":"Panupong","family":"Vichitkunakorn","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Thailand"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7957-5648","authenticated-orcid":false,"given":"Thieu N","family":"Vo","sequence":"additional","affiliation":[{"name":"Fractional Calculus, Optimization and Algebra Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Vietnam"}]},{"given":"Mohsen","family":"Razzaghi","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Mississippi State University, USA"}]}],"member":"179","published-online":{"date-parts":[[2019,12,18]]},"reference":[{"key":"e_1_3_3_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2007.07.059"},{"key":"e_1_3_3_3_1","doi-asserted-by":"publisher","DOI":"10.1137\/0152048"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.5120\/19857-1801"},{"key":"e_1_3_3_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(95)01732-1"},{"key":"e_1_3_3_6_1","volume-title":"Numerical Methods for Delay Differential Equations","author":"Bellen A","year":"2013","unstructured":"Bellen A, Zennaro M (2013) Numerical Methods for Delay Differential Equations. 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