Some new inequalities for (k,s)-fractional integrals
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Authors
M. Aldhaifallah
- Electrical Engineering Department, College of Engineering-Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia.
M. Tomar
- Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey.
K. S. Nisar
- Department of Mathematics, College of Arts and Science- Wadi Al-Dawaser, Prince Sattam bin Abdulaziz University, Riyadh region 11991, Saudi Arabia.
S. D. Purohit
- Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, India.
Abstract
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.
Share and Cite
ISRP Style
M. Aldhaifallah, M. Tomar, K. S. Nisar, S. D. Purohit, Some new inequalities for (k,s)-fractional integrals, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5374--5381
AMA Style
Aldhaifallah M., Tomar M., Nisar K. S., Purohit S. D., Some new inequalities for (k,s)-fractional integrals. J. Nonlinear Sci. Appl. (2016); 9(9):5374--5381
Chicago/Turabian Style
Aldhaifallah, M., Tomar, M., Nisar, K. S., Purohit, S. D.. "Some new inequalities for (k,s)-fractional integrals." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5374--5381
Keywords
- Integral inequalities
- fractional integral inequalities
- (k،s)-fractional integrals.
MSC
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