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

Asha  B. Nale; Vaijanath L. Chinchane; Ould Melha Khellaf; Christophe Chesneau

Authors

Asha B. Nale Department of Mathematics and Statistics, MGM University
Vaijanath L. Chinchane Department of Mathematics, CSMSS Chh. Shahu College of Engineering
Ould Melha Khellaf Department of Mathematics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University
Christophe Chesneau Department of Mathematics, LMNO, University of Caen Normandie

Keywords:

k-Hilfer fractional derivative, Pólya-Szegö inequality

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.

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

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