{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:48:42Z","timestamp":1742914122514,"version":"3.40.3"},"publisher-location":"Cham","reference-count":8,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030563226"},{"type":"electronic","value":"9783030563233"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-56323-3_36","type":"book-chapter","created":{"date-parts":[[2020,10,21]],"date-time":"2020-10-21T00:02:47Z","timestamp":1603238567000},"page":"467-479","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Collocation Solution of Fractional Differential Equations in Piecewise Nonpolynomial Spaces"],"prefix":"10.1007","author":[{"given":"M. Lu\u00edsa","family":"Morgado","sequence":"first","affiliation":[]},{"given":"Magda","family":"Rebelo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,21]]},"reference":[{"key":"36_CR1","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1115\/1.3167615","volume":"51","author":"RL Bagley","year":"1984","unstructured":"Bagley, R.L., Torvik, P.J.: On the appearance of the fractional derivative in the behavior of real materials. ASME Trans. J. Appl. Mech. 51, 294\u2013298 (1984)","journal-title":"ASME Trans. J. Appl. Mech."},{"issue":"1","key":"36_CR2","doi-asserted-by":"crossref","first-page":"364","DOI":"10.1137\/S0036142901385593","volume":"41","author":"Y Cao","year":"2003","unstructured":"Cao, Y., Herdman, T., Xu, Y.: A hybrid collocation method for Volterra integral equations with weakly singular kernels. SIAM J. Numer. Anal. 41(1), 364\u2013381 (2003)","journal-title":"SIAM J. Numer. Anal."},{"key":"36_CR3","volume-title":"Elasticity e Dissipazione","author":"M Caputo","year":"1969","unstructured":"Caputo, M.: Elasticity e Dissipazione. Zanichelli, Bologna (1969)"},{"key":"36_CR4","volume-title":"The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type","author":"K Diethelm","year":"2004","unstructured":"Diethelm, K.: The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type. Springer, Heidelberg (2004)"},{"key":"36_CR5","series-title":"Numerical Analysis and Scientific Computing","doi-asserted-by":"crossref","DOI":"10.1201\/b18503","volume-title":"Numerical Methods for Fractional Calculus","author":"C Li","year":"2015","unstructured":"Li, C., Zeng, F.: Numerical Methods for Fractional Calculus. Numerical Analysis and Scientific Computing. Chapman & Hall\/CRP Press, Boca Raton (2015)"},{"issue":"4","key":"36_CR6","doi-asserted-by":"crossref","first-page":"874","DOI":"10.2478\/s13540-013-0054-3","volume":"16","author":"NJ Ford","year":"2013","unstructured":"Ford, N.J., Morgado, M.L., Rebelo, M.: Nonpolynomial collocation approximation of solutions to fractional differential equations. Fract. Calc. Appl. Anal. 16(4), 874\u2013891 (2013)","journal-title":"Fract. Calc. Appl. Anal."},{"key":"36_CR7","volume-title":"Fractional Integrals and Derivatives: Theory and Applications","author":"SG Samko","year":"1993","unstructured":"Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach, Yverdon (1993)"},{"key":"36_CR8","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3410","author":"N Kopteva","year":"2017","unstructured":"Kopteva, N.: Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions. Math. Comput. (2017). https:\/\/doi.org\/10.1090\/mcom\/3410","journal-title":"Math. Comput."}],"container-title":["Springer Proceedings in Mathematics &amp; Statistics","Differential and Difference Equations with Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-56323-3_36","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,24]],"date-time":"2022-11-24T02:05:04Z","timestamp":1669255504000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-56323-3_36"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030563226","9783030563233"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-56323-3_36","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"type":"print","value":"2194-1009"},{"type":"electronic","value":"2194-1017"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"21 October 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICDDEA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Differential & Difference Equations and Applications","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Lisbon","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Portugal","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"1 July 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 July 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icddea2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/sites.google.com\/site\/sandrapinelas\/icddea-2019","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}