{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:19:26Z","timestamp":1753881566494,"version":"3.41.2"},"reference-count":28,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,7,31]],"date-time":"2021-07-31T00:00:00Z","timestamp":1627689600000},"content-version":"vor","delay-in-days":211,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100011665","name":"Deanship of Scientific Research, King Saud University","doi-asserted-by":"publisher","award":["RG-1441-326"],"award-info":[{"award-number":["RG-1441-326"]}],"id":[{"id":"10.13039\/501100011665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>In this study, we apply the pseudospectral method based on M\u00fcntz\u2013Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative. Using the operational matrix for the Caputo derivative operator and applying the Chebyshev and Legendre zeros, the problem is reduced to a system of linear algebraic equations. We illustrate the reliability, efficiency, and accuracy of the method by some numerical examples. We also compare the proposed method with others and show that the proposed method gives better results.<\/jats:p>","DOI":"10.1155\/2021\/9915551","type":"journal-article","created":{"date-parts":[[2021,8,1]],"date-time":"2021-08-01T04:20:05Z","timestamp":1627791605000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A New Scheme for Solving Multiorder Fractional Differential Equations Based on M\u00fcntz\u2013Legendre Wavelets"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9394-7305","authenticated-orcid":false,"given":"Haifa","family":"Bin Jebreen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7855-508X","authenticated-orcid":false,"given":"Fairouz","family":"Tchier","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,7,31]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-0208(06)80001-0"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.07.018"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.04.023"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-020-01048-1"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.2478\/s13540-014-0218-9"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.10.026"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2007.09.014"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2006.02.007"},{"key":"e_1_2_10_9_2","first-page":"15","article-title":"An algorithm for the numerical solution of differential equations of fractional order","volume":"26","author":"Odibat Z.","year":"2008","journal-title":"Journal of Applied Mathematics and Informatics"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.07.006"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.12.031"},{"key":"e_1_2_10_12_2","first-page":"121","article-title":"Some applications of fractional calculus to polymer science","volume":"102","author":"Douglas J. 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