Geodesic
Certain fractional inequalities via the Caputo Fabrizio operator
Filomat, Tome 37 (2023) no. 29, p. 10093

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

The Caputo Fabrizio fractional integral operator is one of the key concepts in fractional calculus. It is involved in many concrete and practical issues. In the present study, we have discussed some novel ideas to fractional Hermite-Hadamard inequalities within a Caputo Fabrizio fractional integral framework. The fractional integral under investigation is used to establish some new fractional Hermite-Hadamard inequalities. The findings of this study can be seen as a generalization and extension of numerous earlier inequalities via convex function. In addition, we demonstrate a few applications of our findings to special means of real numbers.
DOI : 10.2298/FIL2329093Q
Classification : 26D10, 26D15, 34K38, 26A33
Keywords: Hermite-Hadamard inequalities, Fractional inequalities, Caputo-Fabrizio Fractional operator, H¨older inequality, Power-Mean inequality, s−convex 
Shahid Qaisar; Arslan Munir; Hüseyin Budak. Certain fractional inequalities via the Caputo Fabrizio operator. Filomat, Tome 37 (2023) no. 29, p. 10093 . doi: 10.2298/FIL2329093Q
@article{10_2298_FIL2329093Q,
     author = {Shahid Qaisar and Arslan Munir and H\"useyin Budak},
     title = {Certain fractional inequalities via the {Caputo} {Fabrizio} operator},
     journal = {Filomat},
     pages = {10093 },
     year = {2023},
     volume = {37},
     number = {29},
     doi = {10.2298/FIL2329093Q},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329093Q/}
}
TY  - JOUR
AU  - Shahid Qaisar
AU  - Arslan Munir
AU  - Hüseyin Budak
TI  - Certain fractional inequalities via the Caputo Fabrizio operator
JO  - Filomat
PY  - 2023
SP  - 10093 
VL  - 37
IS  - 29
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2329093Q/
DO  - 10.2298/FIL2329093Q
LA  - en
ID  - 10_2298_FIL2329093Q
ER  - 
%0 Journal Article
%A Shahid Qaisar
%A Arslan Munir
%A Hüseyin Budak
%T Certain fractional inequalities via the Caputo Fabrizio operator
%J Filomat
%D 2023
%P 10093 
%V 37
%N 29
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2329093Q/
%R 10.2298/FIL2329093Q
%G en
%F 10_2298_FIL2329093Q

Cité par Sources :