Geodesic
New conformable fractional operator and some related inequalities
Filomat, Tome 35 (2021) no. 11, p. 3597

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DOI

In this study, we introduce a new conformable derivative, namely the beta-conformable derivative. We derive Taylor's theorem for this derivative. We also investigate some new properties of Taylor's theorem and some useful related theorems for the beta-conformable derivative. In the light of the new operator , we extend some recent and classical integral inequalities including Steffensen and Hermite-Hadamard inequality
DOI : 10.2298/FIL2111597U
Classification : 34A08, 26A33, 26D15
Keywords: Taylor’s formula, beta-integral, Steffensen inequality, Hermite-Hadamard inequality 
Deniz Uçar. New conformable fractional operator and some related inequalities. Filomat, Tome 35 (2021) no. 11, p. 3597 . doi: 10.2298/FIL2111597U
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     author = {Deniz U\c{c}ar},
     title = {New conformable fractional operator and some related inequalities},
     journal = {Filomat},
     pages = {3597 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111597U},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111597U/}
}
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