{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:00:22Z","timestamp":1761487222733},"reference-count":0,"publisher":"Wiley","issue":"47","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>Lyapunov stability and asymptotic stability conditions for the\nsolutions of the fractional integrodiffrential equations\n, 0 &lt; <jats:italic>\u03b1<\/jats:italic> \u2264 1, with the initial condition <jats:italic>x<\/jats:italic><jats:sup>(<jats:italic>\u03b1<\/jats:italic>\u22121)<\/jats:sup>(<jats:italic>t<\/jats:italic><jats:sub>0<\/jats:sub>) = <jats:italic>x<\/jats:italic><jats:sub>0<\/jats:sub>, have been investigated. Our methods are applications of\nGronwall\u2032s lemma and Schwartz inequality.<\/jats:p>","DOI":"10.1155\/s0161171204312366","type":"journal-article","created":{"date-parts":[[2004,9,30]],"date-time":"2004-09-30T13:01:14Z","timestamp":1096549274000},"page":"2503-2507","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":55,"title":["Lyapunov stability solutions of fractional integrodifferential equations"],"prefix":"10.1155","volume":"2004","author":[{"given":"Shaher","family":"Momani","sequence":"first","affiliation":[]},{"given":"Samir","family":"Hadid","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,9,30]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/575670.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204312366","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T04:23:28Z","timestamp":1723091008000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204312366"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"47","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204312366"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204312366","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2003-12-28","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-09-30","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}