Work

On Pólya-Szegö integral inequalities using k -Hilfer fractional derivative

Year: 2025

Type: article

Abstract: The main aim of this paper is to use the k -Hilfer fractional derivative to derive certain Pólya-Szegö fractional integral inequalities. Further fractional integral inequalities are obtained. The results presented here extend and generalize various existing inequalities associated with the Riemann-Liouville, Caputo, Saigo, and Hilfer fractional operators. The findings contribute to the growing theory of fractional calculus and offer potential tools for the analysis of fractional differential and integral equations.

Source: Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica

DOI: 10.2478/aupcsm-2025-0008

Authors: Asha B. Nale, Vaijanath L. Chinchane, Ould Melha Khellaf, Christophe Chesneau

Institutions: CSMSS Chh. Shahu College of Engineering, Hassiba Benbouali University of Chlef, Université de Caen Normandie

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7134045952

FWCI:

Cites: 22

Cited by:

Related to: