New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
Yükleniyor...
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AIMS Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
It’s undeniably true that fractional calculus has been the focus point for numerous researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator has been on many demonstrating and real-life issues. The main objective of our article is to improve integral inequalities of Hermite-Hadamard and Pachpatte type incorporating the concept of preinvexity with the Caputo-Fabrizio fractional integral operator. To further enhance the recently presented notion, we establish a new fractional equality for differentiable preinvex functions. Then employing this as an auxiliary result, some refinements of the Hermite-Hadamard type inequality are presented. Also, some applications to special means of our main findings are presented.
Açıklama
Anahtar Kelimeler
Caputo-Fabrizio fractional integral, Preinvex functions, Hermite-Hadamard inequality, Holder inequality, Power-mean inequality
Kaynak
AIMS Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
7
Sayı
3
