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Derives fractional integral inequalities with k-Hilfer fractional derivative, highlighting the role of fractional calculus in analysis.
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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Nale et al. (2025) studied this question.
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