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Generalized AB-Fractional Operator Inclusions of Hermite–Hadamard's Type via Fractional Integration.
- Source :
- Symmetry (20738994); May2023, Vol. 15 Issue 5, p1012, 21p
- Publication Year :
- 2023
-
Abstract
- 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 μ , α , l γ , δ , k , c (τ ; 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 μ , α , l γ , δ , k , c (τ ; 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTEGRAL inequalities
FRACTIONAL integrals
GENERALIZED integrals
INTEGRAL operators
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 15
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Symmetry (20738994)
- Publication Type :
- Academic Journal
- Accession number :
- 163989374
- Full Text :
- https://doi.org/10.3390/sym15051012