Grüss-type fractional inequality via Caputo-Fabrizio integral operator

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

doi:10.2478/ausm-2022-0018

Acta Universitatis Sapientiae, Mathematica

2022

DOI: 10.2478/ausm-2022-0018

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Grüss-type fractional inequality via Caputo-Fabrizio integral operator

Asha B. Nale

Satish K. Panchal

Vaijanath L. Chinchane³

Abstract: In this article, the main objective is to establish the Grüss-type fractional integral inequalities by employing the Caputo-Fabrizio fractional integral.

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2023

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A comprehensive review of Grüss-type fractional integral inequality

Tariq,

Ntouyas,

Ahmad

et al. 2023

MATH

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<abstract><p>A survey of results on Grüss-type inequalities associated with a variety of fractional integral and differential operators is presented. The fractional differential operators includes, Riemann-Liouville fractional integral operators, Riemann-Liouville fractional integrals of a function with respect to another function, Katugampola fractional integral operators, Hadamard's fractional integral operators, $ k $-fractional integral operators, Raina's fractional integral operators, tempered fractional integral operators, conformable fractional integrals operators, proportional fractional integrals operators, generalized Riemann-Liouville fractional integral operators, Caputo-Fabrizio fractional integrals operators, Saigo fractional integral operators, quantum integral operators, and Hilfer fractional differential operators.</p></abstract>

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A comprehensive review of Grüss-type fractional integral inequality

Tariq,

Ntouyas,

Ahmad

et al. 2023

MATH

View full text Add to dashboard Cite

show abstract

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Grüss-type fractional inequality via Caputo-Fabrizio integral operator

Abstract: In this article, the main objective is to establish the Grüss-type fractional integral inequalities by employing the Caputo-Fabrizio fractional integral.

Cited by 1 publication

References 22 publications

A comprehensive review of Grüss-type fractional integral inequality

A comprehensive review of Grüss-type fractional integral inequality

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