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Some New Bounds Analogous To Generalized Proportional Fractional Integral Operator With Respect To Another Function

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Amer inst Mathematical Sciences-aims

Open Access Color

GOLD

Green Open Access

No

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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

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

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
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OpenCitations Citation Count
9

Source

Discrete and Continuous Dynamical Systems - Series S

Volume

14

Issue

10

Start Page

3703

End Page

3718
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CrossRef : 6

Scopus : 16

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