@article{Samraiz2025, 
author = {Muhammad Samraiz and Humaira Javaid and Muath Awadalla and Hajer Zaway},
title = {Caputo-Hadamard fractional Wirtinger-type inequalities via Taylor expansion with applications to classical means},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {16334-16354},
keywords = {Taylor's formula, Wirtinger inequality, Caputo-Hadamard fractional derivative, Hölder's inequality},
url = {https://www.sciopen.com/article/10.3934/math.2025730},
doi = {10.3934/math.2025730},
abstract = {In this paper, we explored Caputo-Hadamard fractional Wirtinger-type inequalities using Taylor's formula. The main findings were derived by utilizing Hölder's inequality to derive results for Caputo-Hadamard fractional derivatives in terms of              L              q       norms for    q  >  1. Through graphical interpretation, we confirmed the validity of the results. A flowchart summarizing the logical progression from lemma to theorem was added for clarity. Furthermore, inequalities were also derived for Hadamard fractional derivatives. Finally, we discussed the applications of Wirtinger-type inequalitie which incorporates arithmetic mean and geometric mean-type inequalities.}
}