Gruss-Type Integrals Inequalities Via Generalized Proportional Fractional Operators
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Date
2020
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Volume Title
Publisher
Springer-verlag Italia Srl
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Green Open Access
No
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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
ORCID
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
Turkish CoHE Thesis Center URL
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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OpenCitations Citation Count
10
Source
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Volume
114
Issue
2
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CrossRef : 3
Scopus : 19
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SCOPUS™ Citations
19
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15
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4
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