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Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators

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Date

2020

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Springer-verlag Italia Srl

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Green Open Access

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Abstract

In the article, we deal with the generalized proportional fractional integral, establish several kinds of inequalities such as Gruss-type and certain other inequalities by use of generalized proportional fractional integral. Moreover, several special cases are discussed. Also, we derive certain particular results by utilizing the connection between generalized proportional fractional integral and Riemann-Liouville integral. Furthermore, an illustrative example is presented to support our outcomes.

Description

Noor, Muhammad/0000-0001-6105-2435

Keywords

Generalized Proportional Fractional Operator, Young Inequality, Gruss-Type Integral Inequality, generalized proportional fractional operator, Fractional derivatives and integrals, Young inequality, Inequalities involving derivatives and differential and integral operators, Grüss-type integral inequality

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Fields of Science

0101 mathematics, 01 natural sciences

Citation

Rashid, Saima; Jarad, Fahd; Noor, Muhammad Aslam (2020). "Grüss-type integrals inequalities via generalized proportional fractional operators", Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, Vol. 114, No. 2.

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Volume

114

Issue

2

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Scopus : 19

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19

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15

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4

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