Fractional Ostrowski Type Inequalities via Generalized Mittag–Leffler Function-Reference-Cited by-同舟云学术

Fractional Ostrowski Type Inequalities via Generalized Mittag–Leffler Function

Published:2020-06-04 Issue: Volume:2020 Page:1-10
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

You Xinghua¹,Farid Ghulam²^ORCID,Maheen Kahkashan²

Affiliation:

1. Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China

2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Islamabad, Pakistan

Abstract

If we study the theory of fractional differential equations then we notice the Mittag–Leffler function is very helpful in this theory. On the contrary, Ostrowski inequality is also very useful in numerical computations and error analysis of numerical quadrature rules. In this paper, Ostrowski inequalities with the help of generalized Mittag–Leffler function are established. In addition, bounds of fractional Hadamard inequalities are given as straightforward consequences of these inequalities.

Funder

Higher Education Commission, Pakistan

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/4705632.pdf

Reference26 articles.

1. Über den Fundamentalsatz in der Teorie der Funktionen Ea(x)

2. On a generalization of Mittag-Leffler function and its properties

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