New Approach to Minkowski Fractional Inequalities Using Generalized K-fractional Integral Operator

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DOI:

https://doi.org/10.18311/jims/2018/15490

Keywords:

Minkowski fractional integral inequality, generalized k-fractional integral operator and Gauss hypergeometric function.
Quantum Theory

Abstract

In this paper, we obtain results related to Minkowski fractional integral inequality using generalized k-fractional integral operator is in terms of the Gauss hypergeometric function.

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Published

2018-01-04

How to Cite

Chinchane, V. L. (2018). New Approach to Minkowski Fractional Inequalities Using Generalized K-fractional Integral Operator. The Journal of the Indian Mathematical Society, 85(1-2), 32–41. https://doi.org/10.18311/jims/2018/15490
Received 2017-02-17
Accepted 2017-07-27
Published 2018-01-04

 

References

D. Baleanu, S. D. Purohit and P. Agarwal, On fractional integral inequalities involving hypergeometric operators, Chinese Journal of Mathematics Volume 2014, Article ID 609476, 5 pages.

V.L. Chinchane and D. B. Pachpatte, Some new integral inequalities using Hadamard fractional integral operator, Adv. Inequal. Appl. 2014, 2014:12.

V.L. Chinchane and D. B. Pachpatte, New fractional inequalities via Hadamard fractional integral, Internat. J. Functional Analyisis, Operator Theory and Application, 5(3)(2013), 165-176.

V.L. Chinchane and D. B. Pachpatte, On some new Gruss-type inequality using Hadamard fractional integral operator, J. Fractional Calculus Appl. Vol. 5(3S) No. 12 (2014) pp. 1-10.

V.L. Chinchane, On Chebyshev type inequalities using generalized k-fractional integral operator, Progr. Fract. Dier. Appl., 3(3)(2017), 1-8.

S.Kilinc and H.Yildirim, Generalized fractional integral inequalities involving Hypergeometic operators, International Journal of Pure and Applied Mathematics, 101(1)(2015), 71-82.

K.S. Miller and B. Ross, Fractional Calculus and Fractional Dierential Equations, Gordon and Breach, New York (1993).

S. Mubeen and S. Iqbal, Gruss type integral inequalities for generalized RiemannLiouville k-fractional integrals, Journal of Inequalities and Application, (2016), 2016:109. DOI 10.1186/s13660-016-1052-x.

M. Saigo, A remark on integral operators involving the Gauss hypergeometric functions, Math. Rep.Kyushu Univ., 11(1978), 135-143.

H. Yildirim and Z. Kirtay, Ostrowski inequality for generalized fractional integral and related equalities, Malaya J. Math., 2(3)(2014), 322-329.