Generalized AB-Fractional Operator Inclusions of Hermite-Hadamard's Type via Fractional Integration
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set of fractional operators is introduced that uses the extended generalized Mittag-Leffler function E-mu,alpha,l(gamma,delta, k,c) (tau; p) as a kernel in the interval domain. Additionally, a new form of Atangana-Baleanu operator is defined using the same kernel, which unifies multiple existing integral operators. By varying the parameters in E-mu,alpha,l(gamma,delta, k,c)(tau; p), several new fractional operators are obtained. This study then utilizes the generalized AB integral operators and the preinvex interval-valued property of functions to establish new Hermite-Hadamard, Pachapatte, and Hermite-Hadamard-Fejer inequalities. The results are supported by numerical examples, graphical illustrations, and special cases.
Açıklama
Anahtar Kelimeler
Hermite-Hadamard inequality, pachpatte inequality, Mittag-Leffler, fractional integrals, preinvex function, Fejer, Convex-Functions, Inequalities
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
15
Sayı
5
