{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T17:48:21Z","timestamp":1773251301369,"version":"3.50.1"},"reference-count":46,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2018,10,15]],"date-time":"2018-10-15T00:00:00Z","timestamp":1539561600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, solutions for systems of linear fractional differential equations are considered. For the commensurate order case, solutions in terms of matrix Mittag\u2013Leffler functions were derived by the Picard iterative process. For the incommensurate order case, the system was converted to a commensurate order case by newly introducing unknown functions. Computation of matrix Mittag\u2013Leffler functions was considered using the methods of the Jordan canonical matrix and minimal polynomial or eigenpolynomial, respectively. Finally, numerical examples were solved using the proposed methods.<\/jats:p>","DOI":"10.3390\/sym10100503","type":"journal-article","created":{"date-parts":[[2018,10,16]],"date-time":"2018-10-16T02:52:53Z","timestamp":1539658373000},"page":"503","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":29,"title":["Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag\u2013Leffler Functions"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0986-1128","authenticated-orcid":false,"given":"Junsheng","family":"Duan","sequence":"first","affiliation":[{"name":"School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2091-1680","authenticated-orcid":false,"given":"Lian","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,10,15]]},"reference":[{"key":"ref_1","unstructured":"Oldham, K.B., and Spanier, J. 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