New integral inequalities for Atangana-Baleanu fractional integral operators and various comparisons via simulations

Set E., Akdemir A. O., ÖZDEMİR M. E., Karaoǧlan A., Dokuyucu M. A.

FILOMAT, cilt.37, sa.7, ss.2251-2267, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2307251s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.2251-2267
  • Anahtar Kelimeler: Convex function, Ho?lder inequality, Young inequality, power mean inequality, Hermite-Hadamard type inequalities, Atangana-Baleanu fractional integrals, CONVEXITY
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

Integral identities created in inequality theory studies help to prove many inequalities. Recently, different fractional integral and derivative operators have been used to achieve these identities. In this article, with the help of Atangana-Baleanu integral operators, an integral identity was first obtained and various integral inequalities for convex functions have been proved using this identity. In the last part of the article, various simulation graphs are given to reveal the consistency of Atangana-Baleanu fractional integral operators and Riemann-Liouville fractional integral operators for different alpha values. The prominent motivating idea in this work is to obtain new and general form integral inequalities with the help of fractional integral operators with strong kernel structure.