Work

Wirtinger-Type Inequalities Involving Tempered Ψ-Fractional Derivatives with Applications

Year: 2025

Type: article

Abstract: In this work, we explore Wirtinger-type inequalities involving tempered Ψ-Caputo fractional derivatives by utilizing Taylor’s formula. We establish more general inequalities for the same operator in Lp norms for p>1 by using Hölder’s inequality. Special cases are discussed in the form of remarks by highlighting their relationships with the existing literature. The derived results are also verified through illustrative examples, including tables and graphs. Moreover, applications of the obtained inequalities are discussed in the context of arithmetic and geometric means.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9080519

Authors: Qingzhe Wu, Muming Zhang, Jing Shao, Muhammad Samraiz, Humaira Javaid, Saima Naheed

Institutions: Shenyang University, Northeast Normal University, University of Sargodha

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funders: National Natural Science Foundation of China, National Key Research and Development Program of China, Fundamental Research Funds for the Central Universities