Some new inequalities for (k,s)-fractional integrals

Aldhaifallah, M.¹ ; Tomar, M.² ; Nisar, K. S.³ ; Purohit, S. D.⁴

¹ Electrical Engineering Department, College of Engineering-Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia
² Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey
³ Department of Mathematics, College of Arts and Science- Wadi Al-Dawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia
⁴ Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, India

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 9, p. 5374-5381.

Résumé

In this paper, the (k; s)-fractional integral operator is used to generate new classes of integral inequalities using a family of n positive functions, $(n \in \mathbb{N} )$. Two classes of integral inequalities involving the (k; s)- fractional integral operator are derived here and these results allow us in particular to generalize some classical inequalities. Certain interesting consequent results of the main theorems are also pointed out.

Détail

DOI : 10.22436/jnsa.009.09.06

Classification : 26A33, 26D10, 26D15
Keywords: Integral inequalities, fractional integral inequalities, (k،s)-fractional integrals.

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