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More New Results on Integral Inequalities for Generalized K-Fractional Conformable Integral Operators

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Date

2021

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Publisher

Amer inst Mathematical Sciences-aims

Open Access Color

GOLD

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No

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Abstract

This paper aims to investigate the several generalizations by newly proposed generalized K-fractional conformable integral operator. Based on these novel ideas, we derived a novel framework to study for Cebysev and Polya-Szego type inequalities by generalized K-fractional conformable integral operator. Several special cases are apprehended in the light of generalized fractional conformable integral. This novel strategy captures several existing results in the relative literature. We also aim at showing important connections of the results here with those including Riemann-Liouville fractional integral operator.

Description

Keywords

Integral Inequality, Cebysev Inequality, Generalized K-Fractional Conformable Derivative, Chebyshev inequality, generalized \(\mathcal{K}\)-fractional conformable derivative, Fractional derivatives and integrals, integral inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals

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Fields of Science

0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Citation

Chu, Yu-Ming...et al. (2021). "More new results on integral inequalities for generalized K-fractional conformable integral operators", Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 7, pp. 2119-2135.

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Q3

Scopus Q

Q2
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OpenCitations Citation Count
7

Source

Discrete and Continuous Dynamical Systems - Series S

Volume

14

Issue

7

Start Page

2119

End Page

2135
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CrossRef : 1

Scopus : 12

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Mendeley Readers : 2

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