Taylor's formula and integral inequalities for conformable fractional derivatives

2014/09/20 by Douglas R. Anderson, Anderson, Douglas R.
Mathematics · #26A33 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1409.5888

openalex publication_date 2014/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive Taylor's Formula for conformable fractional derivatives. This is then employed to extend some recent and classical integral inequalities to the conformable fractional calculus, including the inequalities of Steffensen, Chebychev, Hermite-Hadamard, Ostrowski, and Gruss.

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