Inequalities of Simpson-Mercer-type including Atangana-Baleanu fractional operators and their applications

• DOI: 10.3934/math.2022831
• Publication Date: 2022-06-16T10:24:03Z
• Authors: Muhammad Tariq; Hijaz Ahmad; Soubhagya Kumar S...; Artion Kashuri; Taher A. Nofal; Ching-Hsien Hsu
• Keywords: Operator (biology)

<abstract><p>Fractional operators with integral inequalities have attracted the interest of several mathematicians. Fractional are best utilized in mathematical science their features and wide range applications optimization, modeling, engineering artificial intelligence. In this article, we consider new variants Simpson-Mercer type involving Atangana-Baleanu (A-B) fractional operator for $ s $-convex functions. First, an identity, which acts as auxiliary result main results is proved frame operator. Employing some estimations functions second sense discussed. addition, study various on Modified Bessel functions, special means q $-digamma These confirm effectiveness validity also bring a different dimension to study.</p></abstract>