On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals. In addition, we investigate some fractional integral inequalities for positive continuous functions...

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Veröffentlicht in:Axioms 2022-06, Vol.11 (6), p.266
Hauptverfasser: Chinchane, Vaijanath L., Nale, Asha B., Panchal, Satish K., Chesneau, Christophe, Khandagale, Amol D.
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Sprache:eng
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Zusammenfassung:The main objective of this paper is to use the generalized proportional Hadamard fractional integral operator to establish some new fractional integral inequalities for extended Chebyshev functionals. In addition, we investigate some fractional integral inequalities for positive continuous functions by employing a generalized proportional Hadamard fractional integral operator. The findings of this study are theoretical but have the potential to help solve additional practical problems in mathematical physics, statistics, and approximation theory.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms11060266