{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T11:45:27Z","timestamp":1775475927059,"version":"3.50.1"},"reference-count":36,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T00:00:00Z","timestamp":1775433600000},"content-version":"vor","delay-in-days":95,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:p>In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana\u2013Baleanu\u2013Katugampola (ABK) fractional integrals, several fractional Milne\u2010type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been created by changing the order of the fractional integral. Additionally, an example and a graphical depiction are supplied to elucidate the main conclusions of our study.<\/jats:p>","DOI":"10.1155\/jama\/4503846","type":"journal-article","created":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T10:47:27Z","timestamp":1775472447000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Better Approximation of Milne\u2010Type Inequalities via Convex Functions and ABK Fractional Integral Operators"],"prefix":"10.1155","volume":"2026","author":[{"given":"Muhammad Bilal","family":"Ahmed","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3468-2295","authenticated-orcid":false,"given":"Khuram Ali","family":"Khan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1627-4503","authenticated-orcid":false,"given":"Ammara","family":"Nosheen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8664-6464","authenticated-orcid":false,"given":"Ndolane","family":"Sene","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2026,4,6]]},"reference":[{"key":"e_1_2_10_1_2","volume-title":"Convex Functions, Partial Orderings, and Statistical Applications","author":"Pe\u010dari\u0107 J. 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