On weighted fractional inequalities using generalized Katugampola fractional integral operator

Panchal, Satish K.; Chinchane, Vaijanath L.; Nale, Asha B.

doi:10.7153/fdc-2020-10-16

Cited by 4 publications

(2 citation statements)

References 7 publications

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“…Anber et al [34] presented some fractional integral inequalities similar to the Minkowski fractional integral inequality, using the Riemann-Liouville fractional integral. In [35], Panchal et al studied weighted fractional integral inequalities using a generalized Katugampola fractional integral operator. In [36], Andric et al proposed the reverse fractional Minkowski integral inequality using the extended Mittag-Leffler function with the corresponding fractional integral operator, which was proved together with several related Minkowski-type inequalities.…”

Section: Introductionmentioning

confidence: 99%

On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

Chinchane

Nale

Panchal

et al. 2022

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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.

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Section: Introductionmentioning

confidence: 99%

On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

Chinchane

Nale

Panchal

et al. 2022

Axioms

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“…V. L. Chinchane et al [5] proposed fractional inequalities similar to Minkowski type via Saigo fractional integral operator. In [27], S. K. Panchal et al investigated weighted fractional integral inequalities using generalized Katugampola fractional integral operator. G. Rahman et al [31][32][33] established Minkowski inequality and some other fractional inequalities for convex functions by employing fractional proportional integral operators.…”

Section: Introductionmentioning

confidence: 99%

Minkowski-type inequalities using generalized proportional Hadamard fractional integral operators

Nale

Panchal

Chinchane

2021

Filomat

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The main objective of present investigation is to obtain some Minkowski-type fractional integral inequalities using generalised proportional Hadamard fractional integral operators which is introduced by Rahman et al. in the paper (Certain inequalities via generalized proportional Hadamard fractional integral operators), Advances in Differential Equations, 2019, 454(2019). In addition, we establish some other fractional integral inequalities for positive and continuous functions.

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Generalized notion of integral inequalities of variables

2022

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On weighted fractional inequalities using generalized Katugampola fractional integral operator

Cited by 4 publications

References 7 publications

On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

On Fractional Inequalities Using Generalized Proportional Hadamard Fractional Integral Operator

Minkowski-type inequalities using generalized proportional Hadamard fractional integral operators

Generalized notion of integral inequalities of variables

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