Geodesic
New integral inequalities for Atangana-Baleanu fractional integral operators and various comparisons via simulations
Filomat, Tome 37 (2023) no. 7, p. 2251

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DOI

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 α 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.
DOI : 10.2298/FIL2307251S
Classification : 26A33, 26A51, 26D10
Keywords: Convex function, Hölder inequality, Young inequality, power mean inequality, Hermite-Hadamard type inequalities, Atangana-Baleanu fractional integrals 
Erhan Set; Ahmet Ocak Akdemir; M Emin Özdemir; Ali Karaoğlan; Mustafa Ali Dokuyucu. New integral inequalities for Atangana-Baleanu fractional integral operators and various comparisons via simulations. Filomat, Tome 37 (2023) no. 7, p. 2251 . doi: 10.2298/FIL2307251S
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     title = {New integral inequalities for {Atangana-Baleanu} fractional integral operators and various comparisons via simulations},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2307251S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307251S/}
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