Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

Kwun, Young Chel; Farid, Ghulam; Ullah, Saleem; Nazeer, Waqas; Mahreen, Kahkashan; Kang, Shin Min

doi:10.1109/ACCESS.2019.2939166

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Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

Kwun, Young Chel;
Farid, Ghulam;
Ullah, Saleem;
Nazeer, Waqas;
Mahreen, Kahkashan;
... Kang, Shin Min

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초록

Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity. By using convexity and conditions of unified integral operators, bounds of these operators are obtained. Furthermore consequences of these results are discussed for fractional and conformable integral operators.

키워드

Convex function; Mittag-Leffler function; integral operator; fractional integral operator; conformable integral operator

제목: Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus

저자: Kwun, Young Chel; Farid, Ghulam; Ullah, Saleem; Nazeer, Waqas; Mahreen, Kahkashan; Kang, Shin Min

DOI: 10.1109/ACCESS.2019.2939166

발행일: 2019-09

유형: Article

저널명: IEEE Access

권: 7

페이지: 126283 ~ 126292

언어: ENG

출판사: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

발행국가: 미국

분량: 10 페이지

ISSN: E 2169-3536