Some New Bounds Analogous To Generalized Proportional Fractional Integral Operator With Respect To Another Function
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
Abstract
The present article deals with the new estimates in the view of generalized proportional fractional integral with respect to another function. In the present investigation, we focus on driving certain new classes of integral inequalities utilizing a family of positive functions n(n is an element of N) for this newly defined operator. From the computed outcomes, we concluded some new variants for classical generalized proportional fractional and other integrals as remarks. These variants are connected with some existing results in the literature. Certain interesting consequent results of the main theorems are also pointed out.
Description
Hammouch, Zakia/0000-0001-7349-6922
ORCID
Keywords
Generalized Proportional Fractional Integral With Respect To Another Function, Increasing And Decreasing Functions, Integral Inequality, Fractional derivatives and integrals, integral inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, generalized proportional fractional integral with respect to another function, increasing and decreasing functions
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Rashid, Saima; Jarad, Fahd; Hammouch, Zakia (2021). "SOME NEW BOUNDS ANALOGOUS TO GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION", DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, Vol. 14, no. 10, pp. 3703-3718.
WoS Q
Q3
Scopus Q
Q2

OpenCitations Citation Count
7
Source
Discrete and Continuous Dynamical Systems - Series S
Volume
14
Issue
10
Start Page
3703
End Page
3718
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Citations
CrossRef : 6
Scopus : 16
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Mendeley Readers : 1
SCOPUS™ Citations
16
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Web of Science™ Citations
13
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1
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3.91734711
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3
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