Some novel inequalities involving Atangana-Baleanu fractional integral operators and applications

Miguel Vivas-Cortez, Muhammad Uzair Awan, Sehrish Rafique, Muhammad Zakria Javed, Artion Kashuri

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

1 Cita (Scopus)

Resumen

As we know, Atangana and Baleanu developed great fractional integral operators which used the generalized Mittag-Leffler function as non-local and non-singular kernel. Inspired by these integral operators, we derive in this paper two new fractional integral identities involving Atangana-Baleanu fractional integrals. Using these identities as auxiliary results, we establish new fractional counterparts of classical inequalities essentially using first and second order differentiable higher order strongly n-polynomial convex functions. We also discuss several important special cases of the main results. In order to show the efficiency of our main results, we offer applications for special means and for differentiable functions of first and second order that are in absolute value bounded.

Idioma originalInglés
Páginas (desde-hasta)12203-12226
Número de páginas24
PublicaciónAIMS Mathematics
Volumen7
N.º7
DOI
EstadoPublicada - 22 abr. 2022

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© 2022 Author(s), licensee AIMS Press.

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