Taylor's formula and related inequalities for a derivative with a new parameter

2020/02/03 by Deniz Uçar, Uçar, Deniz
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical Inequalities and Applications #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2002.01426

openalex publication_date 2020/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive Taylor's theorem for beta-fractional derivative. We also investigate some new properties of Taylor's theorem and some useful related theorems for this derivative. We extend some recent and classical integral inequalities to this new simple interesting fractional calculus including Steffensen and Hermit-Hadamard inequality.

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