Open AccessNew conformable fractional operator and some related inequalities
Author(s) -
Deniz Uçar
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111597u
Subject(s) - conformable matrix , mathematics , derivative (finance) , hadamard transform , operator (biology) , hermite polynomials , fractional calculus , pure mathematics , fréchet derivative , taylor series , mathematical analysis , algebra over a field , physics , biochemistry , chemistry , quantum mechanics , transcription factor , financial economics , banach space , economics , gene , repressor
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.