Certain generalized fractional integral inequalities

Kottakkaran Sooppy Nisar; Gauhar Rahman; Aftab Khan; Asifa Tassaddiq; Moheb Saad Abouzaid; Kottakkaran Sooppy Nisar; Gauhar Rahman; Aftab Khan; Asifa Tassaddiq; Moheb Saad Abouzaid

doi:10.3934/math.2020108

AIMS Mathematics

2020, Volume 5, Issue 2: 1588-1602. doi: 10.3934/math.2020108

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Research article

Certain generalized fractional integral inequalities

1.
Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al dawaser, Riyadh region 11991, Saudi Arabia
2.
Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir, Khyber Pakhtoonkhwa, Pakistan
3.
College of Computer and Information Sciences, Majmaah University, Al-Majmaah 11952, Saudi Arabia
4.
Department of Mathematics, Faculty of Science, Kafrelshiekh University, Kafrelshiekh, Egypt

Received: 09 October 2019 Accepted: 15 January 2020 Published: 05 February 2020
MSC : 6D10, 26A33, 26D53

The principal aim of this article is to establish certain generalized fractional integral inequalities by utilizing the Marichev-Saigo-Maeda (MSM) fractional integral operator. Some new classes of generalized fractional integral inequalities for a class of n (n ∈ $\mathbb{N}$) positive continuous and decreasing functions on [a, b] by using the MSM fractional integral operator also derived.
- Marichev-Saigo-Maeda fractional integral operator,
- fractional integral inequalities
Citation: Kottakkaran Sooppy Nisar, Gauhar Rahman, Aftab Khan, Asifa Tassaddiq, Moheb Saad Abouzaid. Certain generalized fractional integral inequalities[J]. AIMS Mathematics, 2020, 5(2): 1588-1602. doi: 10.3934/math.2020108

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Abstract

The principal aim of this article is to establish certain generalized fractional integral inequalities by utilizing the Marichev-Saigo-Maeda (MSM) fractional integral operator. Some new classes of generalized fractional integral inequalities for a class of n (n ∈ $\mathbb{N}$) positive continuous and decreasing functions on [a, b] by using the MSM fractional integral operator also derived.

References

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