Fractional Ostrowski Type Inequalities via Generalized Mittag-Leffler Function

Xinghua You; Ghulam Farid; Kahkashan Maheen; Praveen Agarwal

doi:10.1155/2020/4705632

Fractional Ostrowski Type Inequalities via Generalized Mittag-Leffler Function

Xinghua You
, Ghulam Farid
, Kahkashan Maheen
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Nanjing Institute of Technology
COMSATS University Islamabad

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Article number	4705632
Journal	Mathematical Problems in Engineering
Volume	2020
DOIs	https://doi.org/10.1155/2020/4705632
State	Published - 2020

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title = "Fractional Ostrowski Type Inequalities via Generalized Mittag-Leffler Function",

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.",

author = "Xinghua You and Ghulam Farid and Kahkashan Maheen and Praveen Agarwal",

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AU - You, Xinghua

AU - Farid, Ghulam

AU - Maheen, Kahkashan

AU - Agarwal, Praveen

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

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DO - 10.1155/2020/4705632

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JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

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Fractional Ostrowski Type Inequalities via Generalized Mittag-Leffler Function

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