New conformable fractional operator and some related inequalities | Zendy

Deniz Uçar | Zendy

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New 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.

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